On parabolicity and area growth of minimal surfaces

DOI10.1007/s12220-011-9280-2zbMath1281.53015arXiv1004.4544OpenAlexW2025321990MaRDI QIDQ363203

Robert W. Neel

Publication date: 2 September 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4544

zbMATH Keywords

Brownian motionminimal surfacesparabolicityarea growth

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items

Martingales arising from minimal submanifolds and other geometric contexts

Cites Work

• Unnamed Item
• Minimal surfaces in \(\mathbb{R}^3\) properly projecting into \(\mathbb{R}^2\)
• The topological, geometry and conformal structure of properly embedded minimal surfaces
• The classical theory of minimal surfaces
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds