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Riemannian Foliations - SpringerLink
Book Title: Riemannian Foliations. Authors: Pierre Molino. Series Title: Progress in Mathematics. DOI: https://doi/10.1007/978-1-4684-8670-4. Publisher:
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Riemannian Foliations - Molino - Google Books
2012年12月6日 Riemannian Foliations. Molino. Springer Science Business Media, Dec 6, 2012 - Mathematics - 344 pages. Foliation theory has its origins in the global analysis of
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Riemannian foliations and geometric quantization - ScienceDirect
2024年4月1日 A complete isometric weak equivalence of complete Riemannian foliations induces an O q-equivariant isometry of Molino manifolds. Proof. By symmetry it suffices to
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Leaf closures of Riemannian foliations: A survey on topological and ...
2022年6月1日 The main goal of this article is to survey the classical theory of Riemannian and Killing foliations, including Molino’s structural theory and the pseudogroup approach to the
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Riemannian Foliations - Semantic Scholar
Semantic Scholar extracted view of "Riemannian Foliations" by P. Molino et al. Skip to search form Skip to main content Skip to account .... Sign In Create Free Account. DOI:
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Basic Properties of Riemannian Foliations SpringerLink
pp 69–101. Cite this chapter. Download book PDF. Riemannian Foliations. Pierre Molino. Part of the book series: Progress in Mathematics ( (PM,volume 73)) 819 Accesses. Abstract. We
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Riemannian Foliations - Molino - Google Books
More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds [the leaves] of dimension ,-----,- - . - -- p = n - q.
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Riemannian foliations and quasifolds - Springer
To show local develop-ability, we use Molino’s structure theory for Riemannian foliations (see [16] and Sect.4), and speciﬁcally Fedida’s Theorem 5.12 for complete Lie-g foliations. We
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4 - Molino's theory - Cambridge University Press Assessment
In this chapter we study some special classes of Riemannian foliations, and some ways of constructing them, with the ultimate goal of proving Molino's ‘structure theorem’. The most
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BASIC FORMS FOR TRANSVERSELY INTEGRABLE SINGULAR
In [6] P. Molino described in detail a new class of SRF called orbit{like foliations. The main characteristic feature of these foliations is the fact that any point x has an adapted
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Leaf closures of Riemannian foliations: A survey on topological
2022年6月1日 There is a rich structural theory for Riemannian foliations, due mainly to P. Molino, that asserts, among other results, that a complete Riemannian foliation F admits a locally constant sheaf C F of Lie algebras of germs of local transverse Killing vector fields whose action describes the dynamics of F, in the sense that for each leaf L x ∈ F one has T x L ¯ x = {X x
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TOPOLOGICAL DESCRIPTION OF RIEMANNIAN FOLIATIONS
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 ...
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Cohomology of singular Riemannian foliations
In this Note we prove these two results, fitness dimension and topological invariance, for the cohomology of singular Riemannian foliations. The proof uses the previous theorems for the regular case and the structure of singular Riemannian foliations described by P. Molino. For the basic cohomology these results have been proved by R. Wolak.
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Riemannian Foliations - Molino - Google Books
2012年12月6日 Riemannian Foliations Molino No preview available - 2012. Common terms and phrases. A.Haefliger Abelian B¹(W basic fibration bundle-like metric codimension commuting sheaf compact connected manifold compact leaves compact manifold complete pseudogroup corresponding denote dense leaves diffeomorphism dimension exists feuilletages ...
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Structure of Riemannian Foliations SpringerLink
For Riemannian foliations on closed manifolds, Molino has found a remarkable structure theorem [Mo 8,10]. This theorem is based on several fundamental observations. The first is that the canonical lift...
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Leaf closures of Riemannian foliations: A survey on topological
2022年6月1日 Molino theory consists of a structural theory for Riemannian foliations developed by P. Molino and others in the decade of 1980. In this section we summarize it, following mostly the brief presentations in [21, Section 4.1] and [69, Section 3.2]. A thorough introduction can be found in [52].
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RIEMANNIAN FOLIATIONS ON SIMPLY CONNECTED,
Basic properties of Riemannian foliations on simply connected manifolds havebeenestablished byP. Molino[Mol-1] andE. Ghys[Ghy]. Inthis paper we complete their results by showing a close relationship between such foliations and actions oftori onorbifolds. Asa general reference on Riemannianfoliations, werefer to the bookof P. Molino[Mol]. 1.1.
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Equivariant basic cohomology of singular Riemannian foliations
2023年9月28日 Regular Riemannian foliations are relatively well known and have a robust structural theory, due mainly to Molino [].This theory establishes that the leaf closures of such a foliation \({{\mathcal {F}}}\) form a singular Riemannian foliation \(\overline{{{\mathcal {F}}}}\), which moreover is described by the action of a locally constant sheaf \({\mathscr
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arXiv:2006.03164v1 [math.DG] 4 Jun 2020
We then review Molino’s structural theory for Riemannian foliations and present its transverse counterpart in the theory of complete pseudogroups of isometries, emphasizing the connections between these topics. ... There is a rich structural theory for Riemannian foliations, due mainly to P. Molino, that
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Riemannian Foliations - Molino - Google Books
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.
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Riemannian Foliations - Semantic Scholar
Semantic Scholar extracted view of "Riemannian Foliations" by P. Molino et al. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. 219,992,955 papers from all fields of science.. Sign In Create Free Account. DOI: 10.1007/978-1
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INTRODUCTION TO SINGULAR RIEMANNIAN FOLIATIONS
A (smooth) foliation F of a smooth manifold M is a partition of M complete, connected, immersed submanifolds (leaves) of the same dimension such that for all x ∈M , there exists a distinguished neighborhood N of x such that N ∼= R×R, where each R×{u} corresponds to a subset (called a plaque) of a leaf. The set F is the collection of leaves, and L = TF ⊆ TM denotes the tangent
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4 - Molino's theory - Cambridge University Press Assessment
These are foliations defined as the kernel of a ‘Maurer–Cartan’ differential 1-form with values in a Lie algebra. Another way of obtaining transversely parallelizable foliations, to be discussed in Subsection 4.2.2, is by pulling back a given Riemannian foliation on a manifold M to a suitable transverse frame bundle over M.
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arXiv:2006.03164v3 [math.DG] 3 Oct 2022
There is a rich structural theory for Riemannian foliations, due mainly to P. Molino, that ... Riemannian foliations which are complete an whose Molino sheaf C is globally contant. In other words, for a Killing foliation Fthere exists transverse Killing vector ﬁelds X 1;:::;X d
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BASIC FORMS FOR TRANSVERSELY INTEGRABLE SINGULAR RIEMANNIAN FOLIATIONS
SINGULAR RIEMANNIAN FOLIATIONS ROBERT A. WOLAK (Communicated by Christopher Croke) Abstract. Basic forms for a transversely integrable singular Riemannian fo- ... P. Molino, Orbit{like foliations, Proceedings of Geometric Study of Foliations, Tokyo 1993, World Scienti c (1994), 97{119.
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arXiv:2105.07549v2 [math.DG] 10 Jun 2021
foliated manifold equipped with a bundle-like metric is called Riemannian foliation. Molino’s the-ory [16] is a mathematical tool for studying Riemannian foliations. Roughly, to each transversely oriented Riemannian foliation (M,F) of codimension q, Molino associated an oriented manifold W equipped with an action of the orthogonal group SO(q ...
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Growth and Structure of Equicontinuous Foliated Spaces
Molino’s description of Riemannian foliations on compact manifolds extends to compact equicontinuous foliated spaces as developed by Àlvarez Lòpez and Manuel Moreira. This extension is particularly considered when leaves are densely packed, and the...
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[PDF] A Duality Theorem for Riemannian Foliations in
2006年6月8日 Using a new type of Jacobi field estimate we will prove a duality theorem for singular Riemannian foliations in complete manifolds of nonnegative sectional curvature. Skip to search form Skip to main ... Riemannian Foliations. P. Molino G. Cairns. Mathematics. 1988; 701. PDF. 1 Excerpt; Save. Related Papers. Showing 1 through 3 of 0 ...
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Finiteness and tenseness theorems for Riemannian foliations
1998年12月1日 We also show that the main tautness theorems for Riemannian foliations on compact manifolds, which were proved by several authors, are immediate consequences of our results. We prove a finiteness theorem for the spectral sequence ( E i ... P. Molino V. Sergiescu. Mathematics. 1985; AbstractLet M be a connected oriented closed n-manifold.
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Foliated g-structures and riemannian foliations
Abstract Using the properties of the commuting sheaf of aG-foliation of finite type we prove that some of theseG-foliations must be Riemannian. Skip to main content. Account. Menu. ... A. Albert, P. Molino,Pseudogroupes de Lie transitifs, Travaux en cours, Herman, Paris 1984.
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