A fundamental tool in the study of actions of semisimple Lie groups is provided by invariant geometric structures on the manifold being acted upon. This is because geometric structures can be… (More)

SCIENTIFIQUES DE L’É.N.S, Alberto Candel, BY ALBERTO CANDEL

2018

— A surface lamination is a metric space that carries a foliation with leaves of dimension two. Given a riemannian metric along the leaves we study the problem of finding another such metric, in the… (More)

This paper gives an upper bound for the first eigenvalue of the universal cover of a complete, stable minimal surface in hyperbolic space, and a sharper one for least area disks.

Rigid geometric structures on manifolds, introduced by Gromov, are characterized by the fact that their infinitesimal automorphisms are determined by their jets of a fixed order. Important examples… (More)

A function or a real variable f is said to be periodic with period P if f(x+ P ) = f(x) holds for all x. Hence, if we know the values of f on an interval of length P , we know its values everywhere.… (More)

In this paper we study a class of measures, called harmonic measures, that one can associate to a dynamical system consisting og a space X and a finitely generated group of transformations. If the… (More)

A leaf of a compact foliated space has a well defined quasi-isometry type and it is a natural question to ask which quasi-isometry types of (intrinsic) metric spaces can appear as leaves of foliated… (More)

For geometric structures of type Q, we prove that being rigid depends only on the stabilizers for the action on Q. We also prove that to any rigid structure we can associate a “natural” parallelism.… (More)

Riemannian foliations occupy an important place in geometry. An excellent survey is A. Haefliger’s Bourbaki seminar [11], and the book of P. Molino [18] is the standard reference for Riemannian… (More)