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

preprint2008arXivOpen access

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.

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