\(F\)-Willmore submanifold in space forms

DOI10.1007/s11464-011-0140-yzbMath1227.53074OpenAlexW2016503942MaRDI QIDQ644528

Jin Liu, Huai-Yu Jian

Publication date: 4 November 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-011-0140-y

zbMATH Keywords

mean curvatureWillmore submanifoldSimons type integral inequality

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

• Unnamed Item
• Unnamed Item
• Flow by mean curvature of convex surfaces into spheres
• Willmore submanifolds of the Möbius space and a Bernstein-type theorem
• Quantization of curvature for compact surfaces in \(S^{n*}\)
• Willmore submanifolds in a sphere.
• $L^p$ Willmore functionals
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• The second variational formula for Willmore submanifolds in \(S^n\).

This page was built for publication: \(F\)-Willmore submanifold in space forms