Displaying similar documents to “Geometry and topology of -covered foliations.”

A note on generalized flag structures

Tomasz Rybicki (1998)

Annales Polonici Mathematici

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Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.

On G-foliations

Robert Wolak (1985)

Annales Polonici Mathematici

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Leaves of foliations with a transverse geometric structure of finite type.

Robert A. Wolak (1989)

Publicacions Matemàtiques

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In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.

On foliations with leaves satisfying some geometrical conditions

Paweł Grzegorz Walczak

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CONTENTSIntroduction.................................................51. Preliminaries...........................................6 1. A. Foliations...........................................7 1. B. Geometry of submanifolds.................92. The characteristic form..........................113. Stability of minimal foliations..................184. A metric on the space of foliations.........245. Jacobi fields on leaves..........................276. The Gauss mapping of a foliation.........37References...............................................45 ...