### 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.

### p molino riemannian foliations - veggie-day

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. Riemannian Foliations Molino Springer

### P Molino Riemannian Foliations - date-soft

p molino riemannian foliations - saluteindia. 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 3 has posed a question still unsolved if any Finslerian foliation is a Riemannian . Learn More

### 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 ...

### 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 - mariekesrunningclub

p molino riemannian foliations - auragroupsin. p molino riemannian foliations You can get the price list and a Birnith representative will contact you within one business day [chatear en línea] p molino riemannian foliations -, plate mill process flow, p molino riemannian, Riemannian foliations (1988) by by P Molino Add To We prove that a ...

### 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 into curves, i.e. a foliation of codimension n - 1.

### 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

### p molino riemannian foliations - dufoa

Topological description of Riemannian foliations with dense leaves. Dec 2, 2010 ... is A. Haefliger's Bourbaki seminar [1989], and the book of P. Molino [1988] is ... term "qualitative Riemannian foliations" for such foliated spaces.

### 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 ...

### 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 .

### p molino riemannian foliations - electroradar

p molino riemannian foliations p molino riemannian foliations - choice-program. 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 - sofievandam

p molino riemannian foliations - wellnessurlaub24 . Index theory and groupoids - Laboratoire de Mathématiqu,- p molino riemannian foliations, 27 Nov 2009, Definition 324 A (regular) smooth foliation F on M of dimension p is a partition, This was pointed out by a counample given by Almeida and Molino, Choose a Riemannian metric on M The smooth structure on Gt Symplectic groupoids and ...

### 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

### Conlon : Review: Philippe Tondeur, Foliations on ...

Riemannian foliations on simply connected manifolds and actions of tori on orbifolds Haefliger, A. and Salem, E., Illinois Journal of Mathematics, 1990; Notes On The Laplace-Beltrami Operator On A Foliated Riemannian Manifold With A Bundle-like Metric TAKAGI, Ryoichi and YOROZU, Shinsuke, Nihonkai Mathematical Journal, 1990

### 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.

### 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

### Lift of the Finsler foliation to its normal bundle ...

In a paper by A. Miernowski and W. Mozgawa [9] was defined the notion of transversally Finsler foliation and there it is proved that the normal bundle of the lifted Finsler foliation to its normal ...

### 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 ...

### Riemannian foliations on contractible manifolds

the terminology of [9]. Thus the following basic question about Riemannian foliations seems to be open in its full generality: Question 1.9. Is any Riemannian foliation on the Euclidean space homoge-neous? The paper is structured as follows. In Section 2 we recall Molino's con-struction that describes leaf closures of Riemannian foliations ...

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

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 ...

### 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.

### 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].

### 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-

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