Anisotropic version of a theorem of H. Hopf

DOI10.1007/s10455-008-9133-9zbMath1168.53028OpenAlexW2098942783MaRDI QIDQ1016362

Haizhong Li, Yijun He

Publication date: 5 May 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9133-9

zbMATH Keywords

Wulff shapeanisotropic mean curvaturetopological sphere

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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Cites Work

• Unnamed Item
• Stability of anisotropic capillary surfaces between two parallel planes
• Anisotropic capillary surfaces with wetting energy
• A new variational characterization of the Wulff shape
• Integral formula of Minkowski type and new characterization of the Wulff shape
• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.
• The isoperimetric theorem for general integrands
• The Wulff shape minimizes an anisotropic Willmore functional
• A note on the stability of the Wulff shape
• Geometry and stability of surfaces with constant anisotropic mean curvature
• Uniqueness Theorems for Stable Anisotropic Capillary Surfaces
• Crystalline variational problems
• Stability of the Wulff shape
• Planar Wulff shape is unique equilibrium