Displaying similar documents to “Foliations making a constant angle with principal directions on ellipsoids”

Weitzenböck Formula for SL(q)-foliations

Adam Bartoszek, Jerzy Kalina, Antoni Pierzchalski (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

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A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.

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.

On G-foliations

Robert Wolak (1985)

Annales Polonici Mathematici

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Codimension one foliations on complex tori

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.