Results 41 to 50 of about 5,334 (117)

On transverse $R$-covered minimal foliations [PDF]

open access: yesarXiv
We study minimal transverse foliations which are $R$-covered. If in addition the dimension of the ambient manifold is $3$, and the foliations are Anosov foliations we give necessary and sufficient conditions for the intersected foliation to be the orbit foliation of an Anosov flow.
arxiv  

Surface Foliations with Compact complex leaves are holomorphic [PDF]

open access: yesarXiv, 2004
Let X be a compact complex surface with a real foliation. If all leaves are compact complex curves, the foliation must be holomorphic.
arxiv  

Uniformizable foliated projective structures along singular foliations [PDF]

open access: yesarXiv
We consider holomorphic foliations by curves on compact complex manifolds, for which we investigate the existence of projective structures along the leaves varying holomorphically (foliated projective structures), that satisfy particular uniformizability properties. Our results show that the singularities of the foliation impose severe restrictions for
arxiv  

On homogeneous composed Clifford foliations [PDF]

open access: yesarXiv, 2015
We complete the classification, initiated by the second named author, of homogeneous singular Riemannian foliations of spheres that are lifts of foliations produced from Clifford systems.
arxiv  

Deformations of pullback foliations [PDF]

open access: yesarXiv
We study the stability of pullback foliations under morphisms and rational maps via Grothendieck's Drapeaux scheme. In the local setting, a foliated version of Schlessinger's Theorem on rigidity of conical singularities was achieved. We apply these techniques to provide a criterion for the stability of algebraic leaves of a foliation.
arxiv  

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