Results 11 to 20 of about 2,312 (213)
Math AnnAbstract We present an adjunction formula for foliations on varieties and we consider applications of the adjunction formula to the cone theorem for rank one foliations and the study of foliation singularities.
Cascini P, Spicer C.
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Annales de la Faculté des sciences de Toulouse : Mathématiques, 2021 The purpose of this paper is to study singular holomorphic foliations of arbitrary codimension defined by logarithmic forms on projective spaces.
Cerveau, Dominique, Neto, Alcides Lins
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Examples of foliations with foliated geometric structures [PDF]
Pacific Journal of Mathematics, 1990 We present examples of foliated compact nilmanifolds, whose foliations are neither simple nor given by suspensions, admitting various foliated geometric structures. For example, we construct foliations which are: 1. transversally symplectic but not transversally Kähler, 2. transversally symplectic but not transversally holomorphic, 3.
Cordero, Luis A., Wolak, Robert A.
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Holomorphic foliations and deformations of the Hopf foliation [PDF]
Pacific Journal of Mathematics, 1984 A deformation theory for transversally holomorphic foliations is developed here and used to give an explicit description of the transver- sally holomorphic foliations near the "Hopf foliations" on odd dimen- sional spheres. Introduction. In (1) and (2) we began the study of the deformation theory of holomorphic foliations on a smooth compact manifold ...
Duchamp, T., Kalka, M.
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Foliated vector bundles and Riemannian foliations [PDF]
Comptes Rendus. Mathématique, 2011 In this Note we prove the equivalence between the Riemannian foliation and each of the following conditions: 1) the lifted foliation F r on the bundle of r
Popescu, Paul, Popescu, Marcela
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Schlesinger Foliation for Deformations of Foliations [PDF]
International Mathematics Research Notices, 2017 In this article, we show that for any deformation of analytic foliations, there exists a maximal analytic singular foliation on the space of parameters along the leaves of which the deformation is integrable.
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Transactions of the American Mathematical Society, 1973 Let X be a compact manifold and let k be an integer. It is shown that the set of homeomorphism conjugacy classes of germs at X of foliations of codimension k and the set of ...
Levine, Harold I., Shub, Michael
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Geometry & Topology Monographs, 1999 52 pages.
Cantwell, John, Conlon, Lawrence
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, 2022 In this paper, we set up two surgery theories and two kinds of Whitehead torsion for foliations. First, we construct a bounded surgery theory and bounded Whitehead torsion for foliations, which correspond to the Connes' foliation algebra in the K-theory of operator algebras, in the sense that there is an analogy between surgery theory and index theory,
Attie, Oliver, Cappell, Sylvain
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Foliated hyperbolicity and foliations with hyperbolic leaves [PDF]
Ergodic Theory and Dynamical Systems, 2018 Given a lamination in a compact space and a laminated vector field $X$ which is hyperbolic when restricted to the leaves of the lamination, we distinguish a class of $X$-invariant probabilities that describe the behavior of almost every $X$-orbit in every leaf, which we call Gibbs $u$-states. We apply this to the case of foliations in compact manifolds
Bonatti, Christian +2 more
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