Bochner's theorem and minimal foliation. (Théorème de Bochner et feuilletage minimal.)
Chaouch, Mohamed A. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Chaouch, Mohamed A. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Alberto Candel, X. Gómez-Mont (1995)
Annales de l'institut Fourier
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We study the analytic structure of the leaves of a holomorphic foliation by curves on a compact complex manifold. We show that if every leaf is a hyperbolic surface then they can be simultaneously uniformized in a continuous manner. In case the manifold is complex projective space a sufficient condition is that there are no algebraic leaf.
Marco Brunella (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove a structure theorem for codimension one singular foliations on complex tori, from which we deduce some dynamical consequences.
Richard Sacksteder (1964)
Annales de l'institut Fourier
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I. Gelbukh (2009)
Czechoslovak Mathematical Journal
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The foliation of a Morse form on a closed manifold is considered. Its maximal components (cylinders formed by compact leaves) form the foliation graph; the cycle rank of this graph is calculated. The number of minimal and maximal components is estimated in terms of characteristics of and . Conditions for the presence of minimal components and homologically non-trivial compact leaves are given in terms of and . The set of the ranks of all forms defining a given foliation without...
B. Azevedo Scárdua (1997)
Annales scientifiques de l'École Normale Supérieure
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