Foliations making a constant angle with principal directions on ellipsoids

Ronaldo Garcia; Rémi Langevin; Paweł Walczak

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

On Codimension-one Foliations of Constant Mean Curvature.

Gen-ichi Oshikiri (1990)

Mathematische Zeitschrift

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Mean curvature functions of codimension-one foliations.

Gen-Ichi Oshikiri (1990)

Commentarii mathematici Helvetici

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Bochner's theorem and minimal foliation. (Théorème de Bochner et feuilletage minimal.)

Chaouch, Mohamed A. (2007)

Balkan Journal of Geometry and its Applications (BJGA)

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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.