Soliton solutions of the mean curvature flow and minimal hypersurfaces

DOI10.1090/S0002-9939-2011-11205-XzbMath1252.49066arXiv1104.4166OpenAlexW3105407566WikidataQ125367727 ScholiaQ125367727MaRDI QIDQ2884432

Thomas Mettler, Norbert Hungerbühler

Publication date: 29 May 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4166

zbMATH Keywords

mean curvature flowsoliton solutionsminimal hypersurfacesequivalence problemMonge-Ampère systemspseudosoliton solutions

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05)

Related Items (1)

Spacelike mean curvature flow solitons, polynomial volume growth and stochastic completeness of spacelike hypersurfaces immersed into pp-wave spacetimes

Cites Work

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• On the formation of singularities in the curve shortening flow
• Stability of translating solutions to mean curvature flow
• Asymptotic behavior for singularities of the mean curvature flow
• Metrisability of two-dimensional projective structures
• A Relation between Mean Curvature Flow Solitons and Minimal Submanifolds
• A classification of Monge-Ampère equations
• Soliton solutions for the mean curvature flow

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