A note on the characterization of spheres as self-shrinkers

DOI10.1007/S00013-020-01522-8zbMath1454.53054OpenAlexW3088228116MaRDI QIDQ2216796

Wagner O. Costa-Filho

Publication date: 17 December 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01522-8

zbMATH Keywords

Minkowski formulaself-shrinkersimmersed submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)

Related Items (1)

Complete self-shrinkers confined into some regions of the space

Cites Work

• On integral formulas for submanifolds of spaces of constant curvature and some applications
• A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension
• Minimal hypersurfaces in conformally flat spaces
• The rigidity theorems of self-shrinkers

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