Results 1 to 10 of about 7,311 (162)
Flags of holomorphic foliations [PDF]
Anais da Academia Brasileira de Ciências, 2011 A flag of holomorphic foliations on a complex manifold M is an object consisting of a finite number of singular holomorphic foliations on M of growing dimensions such that the tangent sheaf of a fixed foliation is a subsheaf of the tangent sheaf of any ...
Rogério S. Mol
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A Measurable Stability Theorem for Holomorphic Foliations Transverse to Fibrations [PDF]
International Journal of Differential Equations, 2012 We prove that a transversely holomorphic foliation, which is transverse to the fibers of a fibration, is a Seifert fibration if the set of compact leaves is not a zero measure subset.
Bruno Scardua
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Compact leaves of codimension one holomorphic foliations on projective manifolds [PDF]
, 2018 This article studies codimension one foliations on projective man-ifolds having a compact leaf (free of singularities). It explores the interplay between Ueda theory (order of flatness of the normal bundle) and the holo-nomy representation (dynamics of ...
Benoît Claudon +3 more
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Partial holomorphic connections and extension of foliations [PDF]
, 2012 This paper stresses the strong link between the existence of partial holomorphic connections on the normal bundle of a foliation seen as a quotient of the ambient tangent bundle and the extendability of a foliation to an infinitesimal neighborhood of a ...
Isaia Nisoli
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Holomorphic vector fields tangent to foliations in dimension three
Anais da Academia Brasileira de Ciências, 2021 We consider a singular holomorphic vector field in a neighborhood of 0 ∈ C 3and suppose that there is a singular holomorphic foliation of codimension one (outside its singular set, given by a holomorphic decomposition of this neighborhood into ...
DANÚBIA JUNCA, ROGÉRIO MOL
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Transversely product singularities of foliations in projective spaces
Comptes Rendus. Mathématique, 2023 We prove that a transversely product component of the singular set of a holomorphic foliation on $\mathbb{P}^n$ is necessarily a Kupka component.
Rosas, Rudy
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On transversely holomorphic foliations with homogeneous transverse structure
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In this paper we study transversely holomorphic foliations of complex codimension one with a transversely homogeneous complex transverse structure. We prove that the only cases are the transversely additive, affine and projective cases. We shall focus on
Bruno Cesar Azevedo Scardua +1 more
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Transverse Kähler holonomy in Sasaki Geometry and S-Stability
Complex Manifolds, 2021 We study the transverse Kähler holonomy groups on Sasaki manifolds (M, S) and their stability properties under transverse holomorphic deformations of the characteristic foliation by the Reeb vector field. In particular, we prove that when the first Betti
Boyer Charles P. +2 more
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On the entire and finite valued solutions of the three-body problem [PDF]
Theoretical and Applied Mechanics, 2016 A full list of entire and finite valued solutions of the three body problem in the form of functions, depending on a time variable, is established. All the entire and finite valued solutions are among the solutions of Euler and Lagrange.
Belyaev Alexandr
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On the automorphism group of foliations with geometric transverse structure [PDF]
, 2018 Motivated by questions of deformations/moduli in foliation theory, we investigate the structure of some groups of diffeomorphisms preserving a foliation.
Meersseman, Laurent +2 more
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