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arxiv: 0709.1331 · v2 · submitted 2007-09-10 · 🧮 math.DG

Mean time exit and isoperimetric inequalities \for minimal submanifolds of Ntimes mathbb{R}

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keywords inequalitiesisoperimetricexitmeansubmanifoldstimemathbbminimal
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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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