Nontaut foliations and isoperimetric constants

Konrad Blachowski

Displaying similar documents to “Nontaut foliations and isoperimetric constants”

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

Chaouch, Mohamed A. (2007)

Balkan Journal of Geometry and its Applications (BJGA)

Similarity:

On riemannian foliations with minimal leaves

Jesús A. Alvarez Lopez (1990)

Annales de l'institut Fourier

Similarity:

For a Riemannian foliation, the topology of the corresponding spectral sequence is used to characterize the existence of a bundle-like metric such that the leaves are minimal submanifolds. When the codimension is $\leq 2$ , a simple characterization of this geometrical property is proved.

Foliated G-structures and riemannian foliations.

Robert A. Wolak (1990)

Manuscripta mathematica

Similarity:

Mean curvature functions for codimension-one foliations with all leaves compact

Paweł Grzegorz Walczak (1984)

Czechoslovak Mathematical Journal

Similarity:

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

Robert A. Wolak (1989)

Publicacions Matemàtiques

Similarity:

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.

De Rham decomposition theorems for foliated manifolds

Robert A. Blumenthal, James J. Hebda (1983)

Annales de l'institut Fourier

Similarity:

We prove that if $M$ is a complete simply connected Riemannian manifold and $F$ is a totally geodesic foliation of $M$ with integrable normal bundle, then $M$ is topologically a product and the two foliations are the product foliations. We also prove a decomposition theorem for Riemannian foliations and a structure theorem for Riemannian foliations with recurrent curvature.

Foliations making a constant angle with principal directions on ellipsoids

Ronaldo Garcia, Rémi Langevin, Paweł Walczak (2015)

Annales Polonici Mathematici

Similarity:

We study the global behavior of foliations of ellipsoids by curves making a constant angle with the lines of curvature.

A foliation of $𝐑^{3}$ and other punctured 3-manifolds by circles

Elmar Vogt (1989)

Publications Mathématiques de l'IHÉS

Similarity:

A note on codimension-1 foliations

Carlo Petronio (1999)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Weitzenböck Formula for SL(q)-foliations

Adam Bartoszek, Jerzy Kalina, Antoni Pierzchalski (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

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.