Semantic Scholar extracted view of "Riemannian Foliations" by P. Molino et al. DOI: 10.1007/978-1-4684-8670-4 Corpus ID: 123827523; Riemannian Foliations
Bavarder sur InternetRiemannian Foliations. Pierre Molino. Part of the book series: Progress in Mathematics ( (PM,volume 73)) 823 Accesses. Abstract. We begin be recalling some basic results on
Bavarder sur Internet2012.7.27 Riemannian Foliations (Progress in Mathematics) Softcover reprint of the original 1st ed. 1988 Edition by Molino (Author) See all formats and editions
Bavarder sur Internet2024.4.1 The subsheaf C P ⊂ T P of transverse vector fields commuting with all global transverse vector fields Γ (P, T P) = X (P / F P) is called the Molino centralizer sheaf. It follows,
Bavarder sur InternetThe lifted foliation -- 5.2. The structure of the leaf closures -- 5.3. The commuting sheaf and the second structure theorem -- 5.4. The orbits of the global transverse fields -- 5.5. Killing
Bavarder sur InternetIn 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
Bavarder sur InternetRiemannian foliation on a complete manifold for which the Molino central sheafis trivial (cf. [Mol-2]). Other examples of Killing foliations are given by Riemannianfoliations on
Bavarder sur Internet2018.11.16 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
Bavarder sur Internet2022.6.1 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
Bavarder sur InternetFor 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...
Bavarder sur Internet2023.6.21 Regular Riemannian foliations are relatively well known and have a robust structural theory, due mainly to P. Molino [21]. This theory establishes that the leaf closures of such a foliation F form a singular Riemannian foliation F, which moreover is described by the action of a locally
Bavarder sur Internet2023.9.28 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
Bavarder sur Internet2021.11.21 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
Bavarder sur InternetMolino's description of Riemannian foliations on compact manifolds is generalized to the setting of compact equicontinuous foliated spaces, in the case where the leaves are dense. In particular, a Expand
Bavarder sur InternetIn this chapter we return to Riemannian foliations on compact manifolds. The results of the previous chapters enable us to describe the lifted foliation in the orthonormal transverse frame bundle. ... Molino, P. (1988). The Structure of Riemannian Foliations. In: Riemannian Foliations. Progress in Mathematics, vol 73. Birkhäuser Boston. https ...
Bavarder sur Internet2022.4.26 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 ...
Bavarder sur InternetSemantic Scholar extracted view of "Riemannian Foliations" by P. Molino et al. DOI: 10.1007/978-1-4684-8670-4 Corpus ID: 123827523; Riemannian Foliations @inproceedings{Molino1988RiemannianF, title={Riemannian Foliations}, author={Pierre.
Bavarder sur Internet2010.2.22 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 ...
Bavarder sur Internet2018.11.16 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 neighbourhood in which the foliation is the product of an open
Bavarder sur Internet2022.10.5 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
Bavarder sur InternetA (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
Bavarder sur Internet2021.6.11 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 ...
Bavarder sur Internet2012.7.27 The linearized foliation.- 6.5. The global geometry of SRFs.- 6.6. Exercises.- Appendix A Variations on Riemannian Flows.- Appendix B Basic Cohomology and Tautness of Riemannian Foliations.- Appendix C The Duality between Riemannian Foliations and Geodesible Foliations.- Appendix D Riemannian Foliations and Pseudogroups of Isometries.- Appendix ...
Bavarder sur InternetThese 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. This ...
Bavarder sur Internet2022.6.1 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 ...
Bavarder sur InternetAbstract 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.
Bavarder sur InternetClosure of singular foliations: the proof of Molino’s conjecture - Volume 153 Issue 12. ... One of the most fundamental results in the theory of singular Riemannian foliations is the homothetic transformation lemma. A deeper discussion of this lemma, with proof and applications, ...
Bavarder sur Internet2018.6.18 of Riemannian foliations", Ann. Global Anal. Geom., 10:179{194, 1992, led to an explosion of further works studying the analytic and geometric properties of Riemannian foliations. The study of Riemannian foliations is reaching mid-life. Perhaps, it is time for a Little Red Sports Car... In this talk, we consider a new model for further studies of
Bavarder sur Internet2006.6.8 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. ... Riemannian Foliations. P. Molino G. Cairns. Mathematics. 1988; 701. PDF. 1 Excerpt; Save. Related Papers. Showing 1 through 3 of 0 Related Papers. 90 Citations; 10 References;
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