Mean time exit and isoperimetric inequalities for minimal submanifolds of N ×ℝ

DOI10.1112/blms/bdn121zbMath1177.53057arXiv0709.1331OpenAlexW3103410409MaRDI QIDQ3624302

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Publication date: 29 April 2009

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.1331

zbMATH Keywords

isoperimetric inequalityminimal immersionBrownian motion exit time

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (7)

The mean curvature of cylindrically bounded submanifolds ⋮ Green functions and the Dirichlet spectrum ⋮ On the \(L ^{1}\)-Liouville property of stochastically incomplete manifolds ⋮ Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces ⋮ Spectrum Estimates and Applications to Geometry ⋮ Isoperimetric inequalities for submanifolds. Jellett-Minkowski's formula revisited ⋮ On submanifolds of highly negatively curved spaces

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