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

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 $N\times \mathbb{R}$. We also prove isoperimetric inequalities for submanifolds of Hadamard spaces with tamed second fundamental form.

arXiv comment13 pages. This is an improved version of a former article titled Isoperimetric inequalities for minimal graphs

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