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  • Leaf closures of Riemannian foliations: A survey on

    2022.6.1  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

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  • Riemannian Foliations Semantic Scholar

    Riemannian Foliations. P. Molino, G. Cairns. Published 1988. Mathematics. View via Publisher. link.springer. Save to Library. Create Alert. Cite. 688 Citations. Citation

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  • arXiv:2006.03164v3 [math.DG] 3 Oct 2022

    2022.10.5  There is a rich structural theory for Riemannian foliations, due mainly to P. Molino, that

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  • arXiv:2006.03164v1 [math.DG] 4 Jun 2020

    2021.11.21  There is a rich structural theory for Riemannian foliations, due mainly to P. Molino, that

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  • Structure of Riemannian Foliations SpringerLink

    Abstract. For Riemannian foliations on closed manifolds, Molino has found a remarkable structure theorem [Mo 8,10]. This theorem is based on several fundamental

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  • Riemannian foliations and geometric quantization

    Abstract. We introduce geometric quantization for constant rank presymplectic structures with Riemannian null foliation and compact leaf closure space. We prove a quantization

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  • [2006.03164] Leaf closures of Riemannian foliations: a survey

    2020.6.5  We then review Molino's structural theory for Riemannian foliations and present its transverse counterpart in the theory of complete pseudogroups of isometries,

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  • Leaf closures of Riemannian foliations: A survey on

    2022.6.1  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

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  • Closure of singular foliations: the proof of Molino’s conjecture

    Closure of singular foliations: the proof of Molino’s conjecture. Part of: Differential topology Global differential geometry Published online by Cambridge University Press: ... One of the most fundamental results in the theory of singular Riemannian foliations is the homothetic transformation lemma. A deeper discussion of this lemma, ...

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  • EQUIVARIANT BASIC COHOMOLOGY OF SINGULAR

    2023.6.21  3. Molino’s structural theory for Riemannian foliations 8 4. Good covers and the dimension of basic cohomology 12 5. The natural transverse action on a singular Killing foliation 14 6. Applications of the localization theorem 19 References 22 1. Introduction Regular Riemannian foliations are relatively well known and have a robust

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  • Cohomology of singular Riemannian foliations - ScienceDirect

    2006.4.15  P. Molino, Riemannian Foliations, Progr. Math., Birkhäuser, 1988. [4] R. Wolak, Basic cohomology for singular Riemannian foliations, Monatsh. Math. 128 (1999) 159–163. nrightbig for an open set U ⊂ M/ overbar F. It is the derived sheaf ofA t F . With the differential induced by d,H q (p,A ∗ F ) is a differential sheaf.

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  • Equivariant basic cohomology of singular Riemannian foliations

    2023.9.28  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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  • Riemannian Foliations by Molino, Paperback Barnes

    2012.7.27  by Molino. View More. Paperback (Softcover reprint of the original 1st ed. 1988) $129.99 . Paperback (Softcover reprint of the original 1st ... the universal covering of the leaves.- 3.6. Riemannian foliations with compact leaves and Satake manifolds.- 3.7. Riemannian foliations defined by suspension.- 3.8. Exercises.- 4 Transversally ...

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  • The dual foliation of some singular Riemannian foliations

    2017.4.1  A curve is called horizontal if it meets the leaves of F perpendicularly. In [16], Wilking associates to a given singular Riemannian foliation F the so-called dual foliation F #. The dual leaf through a point p ∈ M is defined as all points q ∈ M such that there is a piecewise smooth, horizontal curve from p to q.

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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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  • Singular Riemannian foliations on simply connected spaces

    2006.7.1  We start by recalling the definition of a singular Riemannian foliation (see the book of P. Molino [6]). Definition 1.1. A partition F of a complete Riemannian manifold M by connected immersed submanifolds (the leaves) is called a singular foliation of M if it verifies condition (1) and singular Riemannian foliation if it verifies conditions (1 ...

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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 \ (\hat {\mathcal {F}}\) of a Riemannian foliation F to the bundle \ (\hat {M}\) of orthonormal frames of Q is a transversally parallelizable ...

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  • Totally geodesic Riemannian foliations with locally symmetric

    2006.3.15  Our main result is the following: Theorem 1. Let (M,F ) be a foliated manifold with a finite volume complete bundle-like Riemannian metric h for which F is totally geodesic and the leaves are isometrically covered by X G . In particular, F is a totally geodesic Riemannian foliation. If M has a dense leaf, then, up to a finite covering, F has

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  • (PDF) On the Sobolev Inequality for Riemannian

    2018.7.30  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.

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  • (PDF) Top-Dimensional Group of the Basic Intersection

    2006.7.1  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.

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  • Riemannian Foliations SpringerLink

    Riemannian Foliations Home. Book. Authors: Pierre Molino 0; Pierre Molino. Institut de Mathématiques, Université des Sciences et Techniques du Languedoc, Montpellier Cedex, France. View author publications. You can also search for this author in PubMed Google Scholar. Part of the book series: Progress in Mathematics (PM ...

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  • Liouville type theorem for (F;F')p-harmonic maps on foliations

    P. Molino, Riemannian foliations, translated from the French by Grant Cairns, Boston: Birkhäser, 1988. Calculus of Variations and Partial Differential Equations. Request PDF Liouville type ...

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  • Foliations - Texas Christian University

    2018.7.30  topological obstructions. For instance, in Riemannian foliations, the leaf closures partition the manifold and are in particular disjoint. This does not happen in Example 1.5, so the Reeb-type foliation is not Riemannian. However, the other four examples in the previous section are Riemannian foliations in the obvious metrics.

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  • ReP USP - Detalhe do registro: Leaf closures of Riemannian foliations ...

    Closure of singular foliations: the proof of Molino’s conjecture; Progress in the theory of singular Riemannian foliations; Equifocality of a singular Riemannian foliation; On equifocal Finsler submanifolds and analytic maps; Mean curvature flow of singular Riemannian foliations; Isometries between leaf spaces

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  • SINGULAR RIEMANNIAN FOLIATIONS AND THEIR QUADRATIC

    2019.3.27  We present a new link between the Invariant Theory of infinitesimal singular Riemannian foliations and Jordan algebras. This, together with an inhomogeneous version of Weyl's First Fundamental Theorems, provides a characterization of the recently discovered Clifford foliations in terms of basic polynomials. This link also yields new

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  • [PDF] Singular Riemannian foliations and $\mathcal{I}

    2022.10.31  Ask another question that can be answered by this paper or rephrase your question.

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  • Singular Riemannian Foliations Semantic Scholar

    This is a typical example of a singular Riemannian foliation. The global geometry of Riemannian foliations that we depicted in the last chapter leads us naturally to consider “singular” Riemannian foliations.

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  • On the horizontal diameter of the unit sphere Archiv der

    2017.11.21  For a singular Riemannian foliation $$\\mathcal {F}$$ F on a Riemannian manifold M, a curve is called horizontal if it meets the leaves of $$\\mathcal {F}$$ F perpendicularly. For a singular Riemannian foliation $$\\mathcal {F}$$ F on a unit sphere $$\\mathbb {S}^{n}$$ S n , we show that if $$\\mathcal {F}$$ F satisfies some properties,

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  • Riemannian Foliations - Molino - Google Books

    Riemannian Foliations. Molino. Birkhäuser Boston, Apr 10, 2012 - Mathematics - 344 pages. 0 Reviews. Reviews aren't verified, but Google checks for and removes fake content when it's identified ...

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  • Finslerian foliations of compact manifolds are Riemannian

    2008.4.1  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 author, cf. [8], [9], and then generalized by C. Tarquini, cf. [5]. In their paper A. Miernowski and W ...

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  • Basic Cohomology for Singular Riemannian Foliations

    1999.9.14  Abstract. In this short note we prove that the basic cohomology of a singular Riemannian foliation of a compact manifold is a topological invariant and is finite dimensional.

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  • arXiv:2006.03164v1 [math.DG] 4 Jun 2020

    2021.11.21  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. We also survey some classical ... There is a rich structural theory for Riemannian foliations, due mainly to P. Molino, that

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  • Introduction to Foliations and Lie Groupoids, by I. Moerdijk

    While Riemannian foliations are introduced in Chapter 2, the detailed treatment of transverse geometric structures is carried out in Chapter 4. This is divided into three sections, the first being devoted to parallelizable foliations. ... Almeida and P. Molino, Suites d’Atiyah et feuilletages transversalement complets,C.R. Acad. Sci. Paris ...

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  • Lift of the Finsler foliation to its normal bundle - ScienceDirect

    2006.3.1  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 one? In this paper we prove that the natural lift of a Finslerian foliation to its normal ...

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  • Foliated vector bundles and Riemannian foliations

    2011.4.1  P. Molino, Riemannian Foliations, Progress in Mathematics, vol. 73, Birhäuser, Boston, 1988. [6] M. Popescu, P. Popescu, Lagrangians adapted to submersions and foliations, Differential Geometry and its Applications 27 (2) (2009) 171–178. [7] Z. Shen, Differential Geometry of Spray and Finsler Spaces, Kluwer

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  • Riemannian foliations and geometric quantization

    Background on Riemannian foliations. In this section we recall various definitions and results in the theory of Riemannian foliations that we shall need in later sections. We give a brief overview of Molino's theory [36] and discuss transfer of basic vector bundles to the Molino manifold. 2.1. Riemannian foliations

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  • EUDML Feuilletages riemanniens

    References top [1] R. Almeida - P. Molino - Flots riemanniens sur les 4-variétés compactes, Tohoku Math. Jour.38 (1986), 313-326. Zbl0603.57017 MR843815 [2] R. Brooks - Some Riemannian and dynamical invariants of foliations, in Differential Geometry, Proceed.

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  • P. Molino Semantic Scholar

    Semantic Scholar profile for P. Molino, with 125 highly influential citations and 18 scientific research papers. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. 214,515,806 papers from all fields of science ... Riemannian Foliations. P. Molino ...

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