Linear Weingarten submanifolds in unit sphere

DOI10.1007/S00013-016-0881-7zbMath1341.53093OpenAlexW2338004468MaRDI QIDQ292092

Peijun Wang, Xiaoli Chao

Publication date: 10 June 2016

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

Full work available at URL: https://doi.org/10.1007/s00013-016-0881-7

zbMATH Keywords

unit spherelinear Weingarten submanifoldsparallel normalized mean curvature vector

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

A characterization of linear Weingarten submanifolds in a semi-Riemannian space form with arbitrary index

Cites Work

• Submanifolds with constant scalar curvature in a unit sphere
• On complete spacelike submanifolds in semi-Riemannian space forms with parallel normalized mean curvature vector
• A maximum principle for hypersurfaces with constant scalar curvature and applications
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• Hypersurfaces with constant scalar curvature
• Complete linear Weingarten hypersurfaces immersed in the hyperbolic space
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• Linear Weingarten hypersurfaces in a unit sphere
• Generalized maximum principles and the characterization of linear Weingarten hypersurfaces in space forms
• LINEAR WEINGARTEN HYPERSURFACES IN A UNIT SPHERE
• Submanifolds with Constant Mean Curvature
• Submanifolds with Constant Mean Curvature II
• LINEAR WEINGARTEN HYPERSURFACES IN RIEMANNIAN SPACE FORMS
• Hypersurfaces with constant scalar curvature in space forms

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