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

G. Pacelli Bessa; J. Fabio Montenegro

doi:10.1112/blms/bdn121

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arXiv · 0709.1331

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

G. Pacelli Bessa·J. Fabio Montenegro

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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.

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BibTeX RIS

G. Pacelli Bessa, J. Fabio Montenegro. 2008-04-22. Mean time exit and isoperimetric inequalities \\for minimal submanifolds of $N\times \mathbb{R}$. https://doi.org/10.1112/blms%2Fbdn121

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