English

Mean time exit and isoperimetric inequalities \\for minimal submanifolds of $N\times \mathbb{R}$

Differential Geometry 2010-01-04 v2

Abstract

Based on Markvorsen and Palmer's work on mean time exit and isoperimetric inequalities we establish slightly better isoperimetric inequalities and mean time exit estimates for minimal submanifolds of N×RN\times\mathbb{R}. We also prove isoperimetric inequalities for submanifolds of Hadamard spaces with tamed second fundamental form.

Keywords

Cite

@article{arxiv.0709.1331,
  title  = {Mean time exit and isoperimetric inequalities \\for minimal submanifolds of $N\times \mathbb{R}$},
  author = {G. Pacelli Bessa and J. Fabio Montenegro},
  journal= {arXiv preprint arXiv:0709.1331},
  year   = {2010}
}

Comments

13 pages. This is an improved version of a former article titled Isoperimetric inequalities for minimal graphs