English

Lemme de l'Ombre et non divergence des horosph\`eres d'une vari\'et\'e g\'eom\'etriquement finie

Dynamical Systems 2007-05-23 v1

Abstract

In this work, we prove the so-called "Shadow lemma" on geometrically finite manifolds of variable negative curvature. We deduce a result of non divergence of the horospheres of such manifolds.

Keywords

Cite

@article{arxiv.math/0305107,
  title  = {Lemme de l'Ombre et non divergence des horosph\`eres d'une vari\'et\'e g\'eom\'etriquement finie},
  author = {Barbara Schapira},
  journal= {arXiv preprint arXiv:math/0305107},
  year   = {2007}
}

Comments

33 pages, 10 figures, in french