# p molino riemannian foliations

## Riemannian Foliations Molino Springer

Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a par tition of M

## p molino riemannian foliations Rossi Tecno Video

p molino riemannian foliations veggieday.eu. Riemannian [11] P. Molino, Riemannian Foliations, Birkhäuser, Boston, 1988. Progress in the theory of singular Riemannian foliations . SRFs were defined by Molino [37] in his study of Riemannian foliations. . vectors of length <ε to the tubular neighborhood of P of radius ε is a diffeomorphism.

## Foliated g-structures and riemannian foliations SpringerLink

Abstract Using the properties of the commuting sheaf of a G-foliation of finite type we prove that some of these G-foliations must be Riemannian. Skip to main content. Advertisement. Hide Foliated g-structures and riemannian foliations. Authors; Authors and affiliations; Robert A. Wolak P. Molino,Riemannian Foliations, Progress in Math

Cited by: 4

## p molino riemannian foliations gastouderopvanglydia.nl

p molino riemannian foliations TOPOLOGICAL DESCRIPTION OF RIEMANNIAN FOLIATIONS,is A Haefliger's Bourbaki seminar [6], and the book of P Molino [13] is the standard,is more useful to generalize topological properties of riemannian foliations. Finslerian foliations of compact manifolds are Riemannian ,

## p molino riemannian foliations

P. Molino: Riemannian foliations, Progress in Math., 73, Birkhäuser, Basel 1988. Obtener Precios. A Note on Weinstein's Conjecture JSTOR . manifold M has a comipact leaf provided that there exists a Riemannian metric on M which leaves invariant the Reeb field of (a. Such contact forms are called

## p molino riemannian foliations kansenvooroeganda.nl

p molino riemannian foliations marionhy-vee- p molino riemannian foliations ,Singular Riemannian foliations on simply connected spaces.A singular foliation on a complete Riemannian manifold is said to be recalling the definition of a singular Riemannian foliation (see the book of P. Molino [6]).Review: Philippe Tondeur, Foliations on RiemannianBull. Amer. Math. Soc. (N.S.)

## TOPOLOGICAL DESCRIPTION OF RIEMANNIAN FOLIATIONS

Riemannian foliations occupy an important place in geometry. An excellent survey is A. Haeﬂiger’s Bourbaki seminar [6], and the book of P. Molino [13] is the standard refer-ence for Riemannian foliations. In one of the appendices to this book, E. Ghys proposes the problem of developing a theory of equicontinuous foliated spaces paralleling

## Finslerian foliations of compact manifolds are Riemannian

Finslerian foliations of compact manifolds are Riemannian. which is a particular case of the problem presented by E. Ghys in Appendix E of P. Molino's book, cf. . R.A. WolakFoliated G-structures and Riemannian foliations. Manus. Math., 66 (1989), pp. 45-59. Google Scholar.

Cited by: 5

## p molino riemannian foliations gastouderopvanglydia.nl

p molino riemannian foliations TOPOLOGICAL DESCRIPTION OF RIEMANNIAN FOLIATIONS,is A Haefliger's Bourbaki seminar [6], and the book of P Molino [13] is the standard,is more useful to generalize topological properties of riemannian foliations. Finslerian foliations of compact manifolds are Riemannian ,

## p molino riemannian foliations

P. Molino: Riemannian foliations, Progress in Math., 73, Birkhäuser, Basel 1988. Obtener Precios. A Note on Weinstein's Conjecture JSTOR . manifold M has a comipact leaf provided that there exists a Riemannian metric on M which leaves invariant the Reeb field of (a. Such contact forms are called

## p molino riemannian foliations kansenvooroeganda.nl

p molino riemannian foliations marionhy-vee- p molino riemannian foliations ,Singular Riemannian foliations on simply connected spaces.A singular foliation on a complete Riemannian manifold is said to be recalling the definition of a singular Riemannian foliation (see the book of P. Molino [6]).Review: Philippe Tondeur, Foliations on RiemannianBull. Amer. Math. Soc. (N.S.)

## p molino riemannian foliations viphc.org

RIEMANNIAN FOLIATIONS AND MOLINO'S CONJECTURE A A foliation on a complete riemannian manifold M is said to be riemannian if every geodesic that P. Molino, Riemannian foliations, Progress in Mathematics vol. Get Price

## p molino riemannian foliations hope-eu-project.eu

p molino riemannian foliations. p molino riemannian foliations awesomesource . p molino riemannian foliations RUBY Foundation r.almeida and p.molino,flots riemanniens sur les 4 variétés compactes,p.baird and j.c.wood,the geometry of a pair of riemannian foliations

## Lift of the Finsler foliation to its normal bundle

E. Ghys in [E. Ghys, Appendix E: Riemannian foliations: Examples and problems, in: P. Molino (Ed.), Riemannian Foliations, Birkhäuser, Boston, 1988, pp. 297–314. ] has posed a question (still unsolved) if any Finslerian foliation is a Riemannian one? In this paper we prove that the natural lift of a Finslerian foliation to its normal bundle

## Finslerian foliations of compact manifolds are Riemannian

Finslerian foliations of compact manifolds are Riemannian. which is a particular case of the problem presented by E. Ghys in Appendix E of P. Molino's book, cf. . R.A. WolakFoliated G-structures and Riemannian foliations. Manus. Math., 66 (1989), pp. 45-59. Google Scholar.

## Cohomological tautness for Riemannian foliations

The first part of the paper gives a short history of the problem. For a closed manifold, the tautness of a Riemannian foliation can be characterized cohomologically. We extend this cohomological characterization to a class of foliations which includes the foliated strata of any singular Riemannian foliation of a closed manifold.

## Characteristic classes for Riemannian foliations

of all Riemannian foliations. However, in general the structure theory is too rich and subtle to e ect a classi cation for codimension q 3 and leaf dimensions p 2. The survey by Ghys, Appendix E of41 gives an overview of the classi cation problem circa 1988. The secondary characteristic classes of Riemannian foliations give an-

Published in: arXiv: Geometric Topology · 2008Authors: Steven Hurder

## Conlon : Review: Philippe Tondeur, Foliations on

Bull. Amer. Math. Soc. (N.S.) Volume 23, Number 2 (1990), 583-588. Review: Philippe Tondeur, Foliations on Riemannian manifolds, and Pierre Molino, Riemannian

## p molino riemannian foliations studiareacrema.it

p molino riemannian foliations . Molino P., Riemannian foliations, Progress in Mathematics 73 . Cohomological tautness for Riemannian foliations José . To Nicolae Teleman on the occasion of his 65th birthday Cohomological Tautness for Riemannian Foliations J. I. Royo P. Molino, Riemannian Foliations, Progr. Lift of the Finsler foliation to its

## Koike : Ehresmann connections for a foliated manifold and

Jan 23, 2006· Kodai Math. J. Volume 22, Number 3 (1999), 402-423. Ehresmann connections for a foliated manifold and certain kinds of rectangles without terminal vertex

## Riemannian Foliations (Progress in Mathematics): Molino

Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a par tition of M into curves, i.e. a foliation of codimension n 1.

Author: Molino

## Horizontaldiameterofunitsphereswithpolar foliations

2 where dH(p,q) is the horizontal distance of p and q.Notice that diamHM ≥ diam(M), where diam(M) is the diameter of M deﬁned by its Riemannian metric. Recently a lot of progress has been made in the singular Riemannian foliations of

## p molino riemannian foliations hope-eu-project.eu

p molino riemannian foliations. p molino riemannian foliations awesomesource . p molino riemannian foliations RUBY Foundation r.almeida and p.molino,flots riemanniens sur les 4 variétés compactes,p.baird and j.c.wood,the geometry of a pair of riemannian foliations

## Lift of the Finsler foliation to its normal bundle

E. Ghys in [E. Ghys, Appendix E: Riemannian foliations: Examples and problems, in: P. Molino (Ed.), Riemannian Foliations, Birkhäuser, Boston, 1988, pp. 297–314. ] has posed a question (still unsolved) if any Finslerian foliation is a Riemannian one? In this paper we prove that the natural lift of a Finslerian foliation to its normal bundle

## Characteristic classes for Riemannian foliations

of all Riemannian foliations. However, in general the structure theory is too rich and subtle to e ect a classi cation for codimension q 3 and leaf dimensions p 2. The survey by Ghys, Appendix E of41 gives an overview of the classi cation problem circa 1988. The secondary characteristic classes of Riemannian foliations give an-

Published in: arXiv: Geometric Topology · 2008Authors: Steven Hurder

## p molino riemannian foliations studiareacrema.it

p molino riemannian foliations . Molino P., Riemannian foliations, Progress in Mathematics 73 . Cohomological tautness for Riemannian foliations José . To Nicolae Teleman on the occasion of his 65th birthday Cohomological Tautness for Riemannian Foliations J. I. Royo P. Molino, Riemannian Foliations, Progr. Lift of the Finsler foliation to its

## p molino riemannian foliations pohrebni-sluzby.eu

p molino riemannian foliations viphc . RIEMANNIAN FOLIATIONS AND MOLINO'S CONJECTURE A A foliation on a complete riemannian manifold M is said to be riemannian if every geodesic that P. Molino, Riemannian foliations, Progress in Mathematics vol. Get Price. Get price; link.springer .

## p molino riemannian foliations electroradar.co

p molino riemannian foliations p molino riemannian foliations choice-program.org. TOPOLOGICAL DESCRIPTION OF RIEMANNIAN FOLIATIONS is A. Haefliger's Bourbaki seminar [6], and the book of P. Molino [13] is the standard is more useful to generalize topological properties of riemannian foliations. Get price

## Conlon : Review: Philippe Tondeur, Foliations on

Bull. Amer. Math. Soc. (N.S.) Volume 23, Number 2 (1990), 583-588. Review: Philippe Tondeur, Foliations on Riemannian manifolds, and Pierre Molino, Riemannian

## Horizontaldiameterofunitsphereswithpolar foliations

2 where dH(p,q) is the horizontal distance of p and q.Notice that diamHM ≥ diam(M), where diam(M) is the diameter of M deﬁned by its Riemannian metric. Recently a lot of progress has been made in the singular Riemannian foliations of

## Koike : Ehresmann connections for a foliated manifold and

Jan 23, 2006· Kodai Math. J. Volume 22, Number 3 (1999), 402-423. Ehresmann connections for a foliated manifold and certain kinds of rectangles without terminal vertex

## p molino riemannian foliations delflandelijkeroutes.nl

Finslerian foliations of compact manifolds are Riemannian. At the same time they pose a question whether any Finslerian foliation is Riemannian, which is a particular case of the problem presented by E Ghys in Appendix E of P Molino's book, cf [1] The problem has been studied by the second.

## Finslerian foliations of compact manifolds are Riemannian

p ∈ L(M,F) the set Gp is relatively compact, and the leaves of FL are relatively compact. The foliation FL is transversally parallelisable, so according to Proposition 0.5 of [5], the foliation F is Riemannian. References [1] E. Ghys, Riemannian foliations: examples and problems, Appendix E in [4].

## (PDF) On the Sobolev Inequality for Riemannian Foliations

Due to the theorem about structure of leaves by P.Molino, which can help the readers to form basic concepts about Riemannian foliations, for example Theorem 2.2.2, Proposition 2.2.4.

## Riemannian foliations (eBook, 1988) [WorldCat.org]

Get this from a library! Riemannian foliations. [Pierre Molino] -- Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector

## Characteristic classes of Riemannian foliations

Characteristic classes of Riemannian foliations Rationality properties of the secondary classes of Riemannian foliations and some relations between the values of the classes and the geometry of Riemannian foliations are discussed. Steven Hurder QUESTION 3: (Molino, Tokyo 1993) How do the values of the

## p molino riemannian foliations electroradar.co

p molino riemannian foliations p molino riemannian foliations choice-program.org. TOPOLOGICAL DESCRIPTION OF RIEMANNIAN FOLIATIONS is A. Haefliger's Bourbaki seminar [6], and the book of P. Molino [13] is the standard is more useful to generalize topological properties of riemannian foliations. Get price

## p molino riemannian foliations delflandelijkeroutes.nl

Finslerian foliations of compact manifolds are Riemannian. At the same time they pose a question whether any Finslerian foliation is Riemannian, which is a particular case of the problem presented by E Ghys in Appendix E of P Molino's book, cf [1] The problem has been studied by the second.

## Finslerian foliations of compact manifolds are Riemannian

p ∈ L(M,F) the set Gp is relatively compact, and the leaves of FL are relatively compact. The foliation FL is transversally parallelisable, so according to Proposition 0.5 of [5], the foliation F is Riemannian. References [1] E. Ghys, Riemannian foliations: examples and problems, Appendix E in [4].

## (PDF) On the Sobolev Inequality for Riemannian Foliations

Due to the theorem about structure of leaves by P.Molino, which can help the readers to form basic concepts about Riemannian foliations, for example Theorem 2.2.2, Proposition 2.2.4.

## Riemannian foliations (eBook, 1988) [WorldCat.org]

Get this from a library! Riemannian foliations. [Pierre Molino] -- Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector

## Characteristic classes of Riemannian foliations

Characteristic classes of Riemannian foliations Rationality properties of the secondary classes of Riemannian foliations and some relations between the values of the classes and the geometry of Riemannian foliations are discussed. Steven Hurder QUESTION 3: (Molino, Tokyo 1993) How do the values of the

## On Lie algebras of vector ﬁelds related to Riemannian

On Lie algebras of vector ﬁelds related to Riemannian foliations by Tomasz Rybicki (Rzesz ow) Abstract. Riemannian foliations constitute an important type of foliated structures. In this note we prove two theorems connecting the algebraic structure of Lie algebras of foliated vector ﬁelds with the smooth structure of a Riemannian foliation. 1.

## CiteSeerX — A DUALITY THEOREM FOR RIEMANNIAN FOLIATIONS

A transnormal system F is called a singular Riemannian foliation if there are vectorfields Xi (i ∈ I) in M such that TpL(p) = spanR{Xi,p i ∈ I} for all p ∈ M, see [Molino, 1988]. Examples of singular Riemannian foliations are the fiber decomposition of a Riemannian submersion or the orbit decomposition of an isometric group action.

## RIEMANNIAN FOLIATIONS AND MOLINO’S CONJECTURE

RIEMANNIAN FOLIATIONS AND MOLINO’S CONJECTURE MARCOS M. ALEXANDRINO A foliation on a complete riemannian manifold M is said to be riemannian if every geodesic that is perpendicular at one point to a leaf remains perpendicular to every leaf it meets. In [3] Molino proved that, if M is compact, the closures of the

## (PDF) Equifocality of a singular Riemannian foliation

Equifocality of a singular Riemannian foliation. These results generalize previous results of the authors on singular riemannian foliations with sections. improv emen ts of Molino’s

## p molino riemannian foliations ocumed.mx

p molino riemannian foliations comfedin. A foliation on a complete riemannian manifold M is said to be riemannian if every geodesic that,P Molino, Riemannian foliations, Progress in Mathematics vol [Chatea ahora] Review: Philippe Tondeur, Foliations on Riemannian ,

## Uniformly quasi-isometric foliations Ergodic Theory and

To send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter

## PIERROTS THEORE M FOR SINGULAR RIEMANIAN

PIERROTS THEORE M FOR SINGULAR RIEMANIAN FOLIATIONS ROBERT A. WOLAK Abstract Let .T be a singular Riemannian foliation on a compact connected Riemannian manifold M. We demonstrate that global foliated vector fields generate a distribution tangent to the strata defined P. Molino demonstrated that the sets Ek or rather their

## Further geometry of the mean curvature one-form and the

Further geometry of the mean curvature one-form and the normal plane field one-form on a foliated Riemannian manifold Volume 62 Issue 1 Grant Cairns, Richard H. Escobales