Results 11 to 20 of about 59,064 (307)
Continuous leafwise harmonic functions on codimension one transversely isometric foliations
Proceedings of the American Mathematical Society, Series B, 2014 Let ℱ be a codimension one foliation on a closed manifold ℳ which admits a transverse dimension one Riemannian foliation. Then any continuous leafwise harmonic functions are shown to be constant on leaves.
Shigenori Matsumoto
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Cobordism and foliations [PDF]
Annales de l’institut Fourier, 1964 Bruce L. Reinhart
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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 45 ...
Cerveau, Dominique, Neto, Alcides Lins
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Approximation of Foliations [PDF]
Canadian Mathematical Bulletin, 1971 Let be two foliations on a Cr manifold M. We say and are Ck-conjugate if there exists a Ck diffeomorphism h:M→M such that h maps the leaves of onto the leaves of .
Maurice E. Cohen
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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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Ergodic Theory and Dynamical Systems, 1988 AbstractWe define an ergodic ℤ-foliation and show that it can be realized as a quotient space of the ‘covering space’. The covering space has two actions, T and S, where T is a ℤ-action, S is a map of order two, and S and T skew-commute; that is, STS = T−1.
Kyewon Park
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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 homeomorphism conjugacy classes of (holonomy) representations of ∏ 1 ( X ) {\prod _1}(X)
Michael Shub, Harold I. Levine
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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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