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Structures géométriques invariantes et feuilletages de Lie | Semantic Scholar. DOI: 10.1016/0019-3577 (90)90022-F. Corpus ID: 122658376.
Alexandrino, R. Briquet, and D. T ¨ oben, Progr ess in the theory of singular Riemann ian. ... P. Molino, Riemannian foliations, Translated from the French by Grant Cairns. With ap-
Riemannian foliations, by Pierre Molino, (Translated by Grant Cairns). ... In this case, the Riemann curvature tensor is the obstruction to integrability, so an integrable Riemannian metric (an O(n)-structure) is a euclidean metric on M. All manifolds admit Riemannian metrics, but very few can support euclidean geometry.
AbstractWe construct real polarizable Hodge structures on the reduced leafwisecohomology of Kähler–Riemann foliations by complex manifolds. As inthe classical case one obtains a hard Lefschetz … Expand. 16. Highly Influential [PDF] 1 Excerpt; Save. Fourier transforms with only real zeros.
We give a necessary and sufficient condition for a submanifold with parallel focal structure to give rise to a global foliation of the ambient space by parallel and focal manifolds. We show that this is a singular Riemannian foliation with complete orthogonal transversals. For this object we construct an action on the transversals that generalizes the Weyl group action …
2.1 Preliminaries. We recall some of the terminology of singular Riemannian foliations, [].Definition 2.1. A singular Riemannian foliation on an ambient manifold M is a partition ({mathcal {F}}) of M by connected immersed submanifolds, known as the leaves, that satisfy the following two conditions:. 1. The module (Xi _{{mathcal {F}}}) of smooth …
Espaces diffeologiques quotients de feuilletages et geometrie en dimension infinie, G. Hector leafwise reduced cohomology and subfoliations, J. Alvarez Lopez transverse index theory, S. Hurder index theory for Riemannian foliations, F.W. Kamber geometry of Lagrangian foliations and integrable Hamiltonian systems, P. Molino on contact and ...
Riemannian Foliations @inproceedings{Molino1988RiemannianF, title={Riemannian Foliations}, author={Pierre. Molino and Grant Cairns}, year={1988} } P. Molino, G. …
Foliation theory is a natural generalized qualitative theory of differential "equations, initiated by H. Poincaré, and developed by C. Ehresmann and G. Reeb, with contribution by A. Haefliger, P. Molino, B.L. Reinhart [6,7,8, 11].Riemannian foliations generated by metric functions were developed by Ph.
We prove that if M is a complete simply connected Riemannian manifold and F is a totally geodesic foliation of M with integrable normal bundle, then M is topologically a product and the two foliations are the product foliations. We also prove a decomposition theorem for Riemannian foliations and a structure theorem for Riemannian foliations with recurrent …
Request PDF | On the geometry of compatible Poisson and Riemannian structures | We consider compatibility conditions between Poisson and Riemannian structures on smooth manifolds by means of a ...
The notion of the Hausdorzed leaf space e L of a foliation is introduced. A sucient condition for warped compact foliations to converge to e L is given. Moreover, a necessary condition for warped compact Hausdor foliations to converge to e L is shown. Finally, some examples are examined.
W e are going to work in the framework of the singular riemannian foliations introduced by Molino. 1.1 The SRF . A singular riemannian foliation (SRF for short) on a manifold M is a partition
arXiv reviews 2: Algebraic foliations I. 25 Mar 2021. This post is on the recent paper [2] of Toën and Vezzosi on the Riemann–Hilbert correspondence for derived foliations. There are two versions of the Riemann–Hilbert correspondence. The first, more classical form, deals with algebraic differential equations with regular singularities on ...
Semantic Scholar extracted view of "DESINGULARISATION DES FEUILLETAGES RIEMANNIENS" by P. Molino. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 212,216,749 papers from all fields of science. Search. Sign In Create Free Account.
It is well known that P α 2 = m α P α for some m α ∈ N and that W α = im P α is an invariant subspace of W k for the standard representation of G L (n) in W k. This representation is irreducible on W α. Moreover, W k = ⨁ α W α. If W is equipped with a scalar product g = 〈 ⋅, ⋅ 〉, then g allows us to define traces, i.e ...
Riemannian foliations, Molino's theory, Killing foliations, equivariant cohomology, equi-variant Aˆ-genus character. This research project is supported by supported by the Fundamental Research Funds for the Central Universities, SCUT. 1. A GENERALIZATION OF MOLINO'S THEORY AND EQUIVARIANT BASIC Aˆ-GENUS CHARACTERS 2
P. Molino, Riemannian foliations. Progress in Mathematics 73. Birkhäuser Boston, Inc., Boston, MA, 1988. Münzner H.F.: Isoparametrische Hyperflächen in Sphären. ... An extended version of a talk given at the international workshop Riemann International School of Mathematics held in Verbania, Italy, April 19-24, 2009. Rights and permissions ...
Noncommutative geometry of foliations - Volume 2 Issue 2. ... Molino, P.. Riemannian foliations, Progress in Mathematics. Vol. 73. Birkhäuser Boston Inc., Boston, MA, 1988 Google Scholar. 137 137. ... A Riemann-Roch theorem for one-dimensional complex groupoids. Commun. Math.
About this book. A first approximation to the idea of a foliation is a dynamical system, and the resulting decomposition of a domain by its trajectories. This is an idea that dates back to the beginning of the theory …
Albert Huber. In this work, a method for constructing null foliations of spacetime is presented. This method is used to specify equivalence classes of null generators, whose representatives can be associated lightlike co-normals that are locally affine geodesic and thus locally orthogonal to embedded null hypersurfaces of spacetime.
Riemannian foliations and bundle-like metrics include the books and papers of B. Reinhart, F. W. Kamber, Ph. Tondeur, P. Molino, for example. 1.3. The basic Laplacian. Many researchers have studied basic forms and the basic Lapla-cian on Riemannian foliations with bundle-like metrics (see [1], [14], [28]). The basic Lapla-
Riemannian Foliations. Molino. Springer Science & Business Media, Dec 6, 2012 - Mathematics - 344 pages. 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 ...
In this paper we study singular riemannian foliations that have sections,i.e., totally geodesic complete immersed submanifolds that meet each leaf orthogonally and whose dimensions are the codimensions of the regular leaves. We prove here that the restriction of the foliation to a slice of a leaf is diffeomorphic to an isoparametric foliation …
We also extend a Weitzenböck type formula for the leafwise Laplacian and, for the particular class of compact foliations, we obtain a generalization of a result due to Ph. Tondeur, M. Min-Oo, and E. Ruh concerning the vanishing of the basic cohomology under the assumption that certain curvature operators are positive definite. In the final ...
Abstract. Motivated by Gray's work on tube formulae for complex submanifolds of complex projective space equipped with the Fubini-Study metric, Riemannian foliations of projective space are ...
The closures of the leaves of a singular Riemann-ian foliation are submanifolds, and the restriction of Fto one of these leaf closures is a [transversally locally homogeneous] …
Introduction. La differentiabilite est entendue au sens C∞. Un flot riemannien est un triple (V, F, gT), ou V est une n-variete, F un feuilletage oriente de dimension 1, et gT une metrique transverse, c-a-d. une structure euclidienne sur le fibre normal Q=TV/TF, localement projetable en une structure riemannienne sur une variete transverse. Un cas important …
This is the first in a series of papers about foliations in derived geometry. After introducing derived foliations on arbitrary derived stacks, we concentrate on quasi-smooth and rigid derived foliations on smooth complex algebraic varieties and on their associated formal and analytic versions. Their truncations are classical singular …
Riemannian foliations occupy an important place in geometry. An excellent survey is A. Haefliger's Bourbaki seminar [11], and the book of P. Molino [18] is the standard ref-erence 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 ...
Authors and Affiliations. National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan. A. M. Bayturaev
Semantic Scholar extracted view of "Riemann–Poisson manifolds and Kähler–Riemann foliations" by M. Boucetta. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 213,913,048 papers from all fields of science. Search.
Soit (M, F, g) un feuilletage riemannien singulier [6] sur une variete compacte. Etant donnee une sous-variete compacte (S, F S, g S ) reunion de feuilles de meme dimension, on definit le modele transverse a S et on donne une methode generale pour reconstruire le feuilletage dans un voisinage tubulaire de S. Les resultats s'appliquent en particulier quand S est la …
AbstractLet M be a connected oriented closed n-manifold. A riemannian flow $$mathfrak{F}$$ on M is an oriented one dimensional foliation which admits a bundle-like metric.We give a caracterization of isometric flows as riemannian flows whose basic cohomology Hbn−1(M, $$mathfrak{F}$$ ) is non trivial in degree (n−1). A second …
Aiming at a broad audience, in this survey we introduce Killing foliations from the very basics, starting with a brief revision of the main objects appearing in this theory, such as pseudogroups, sheaves, holonomy and basic cohomology. We then review Molino's structural theory for Riemannian foliations and present its transverse …
Riemannian Foliations by Molino Pdf. 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 …
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