Variational problems of total mean curvature of submanifolds in a sphere

DOI10.1090/proc/13009zbMath1344.53024OpenAlexW2340504702WikidataQ125906865 ScholiaQ125906865MaRDI QIDQ2809210

Zhen Guo, Bang Chao Yin

Publication date: 27 May 2016

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

Full work available at URL: https://doi.org/10.1090/proc/13009

zbMATH Keywords

Euler characteristicsubmanifoldsvariationtotal mean curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Sub-Riemannian geometry (53C17)

Related Items (3)

Sharp estimates for the first eigenvalue of Schrödinger operator in the unit sphere ⋮ Total mean curvature surfaces in the product space and applications ⋮ Variational problems of surfaces in a sphere

Cites Work

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• Willmore hypersurfaces in a sphere
• A duality theorem for Willmore surfaces
• Flow by mean curvature of convex surfaces into spheres
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Willmore surfaces in \(S^n\)
• Willmore submanifolds in the unit sphere
• Willmore submanifolds in a sphere.
• Min-max theory and the Willmore conjecture
• Minimal varieties in Riemannian manifolds
• On the Total Curvature of Immersed Manifolds, I: An Inequality of Fenchel-Borsuk-Willmore
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• The second variational formula for Willmore submanifolds in \(S^n\).

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