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Mathematics > Differential Geometry

arXiv:0709.1331 (math)
[Submitted on 10 Sep 2007 (v1), last revised 22 Apr 2008 (this version, v2)]

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

Authors: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.
Comments: 13 pages. This is an improved version of a former article titled Isoperimetric inequalities for minimal graphs
Subjects: Differential Geometry (math.DG)
MSC classes: 53C42; 53A10
Cite as: arXiv:0709.1331 [math.DG]
  (or arXiv:0709.1331v2 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.0709.1331
Journal reference: Bull. Lond. Math. Soc. 41 (2009), no. 2, 242--252.
Related DOI: https://doi.org/10.1112/blms/bdn121

Submission history

From: Gregório Pacelli F. Bessa [view email]
[v1] Mon, 10 Sep 2007 09:13:48 UTC (12 KB)
[v2] Tue, 22 Apr 2008 22:11:36 UTC (16 KB)
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