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

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

2007-09-10

arxiv.org/abs/0709.1331v2

Bull. Lond. Math. Soc. 41 (2009), no. 2, 242--252.

Mathematics

Differential Geometry

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

Scientific paper

10.1112/blms/bdn121

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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