Displaying similar documents to “Weitzenböck Formula for SL(q)-foliations”

On G-foliations

Robert Wolak (1985)

Annales Polonici Mathematici

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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.

Nontaut foliations and isoperimetric constants

Konrad Blachowski (2002)

Annales Polonici Mathematici

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We study nontaut codimension one foliations on closed Riemannian manifolds. We find an estimate of some constant derived from the mean curvature function of the leaves of a foliation by some isoperimetric constant of the manifold. Moreover, for foliated 2-tori and the 3-dimensional unit sphere, we find the infimum of the former constants for all nontaut codimension one foliations.

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.

A remark on Thurston's stability theorem

Richard Sacksteder (1975)

Annales de l'institut Fourier

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The author gives an example showing that Thurston’s stability theorem cannot be generalized to non-oriented foliations.