Variational problems of normal curvature tensor and concircular scalar fields.

DOI10.2748/tmj/1113246939zbMath1043.53046OpenAlexW1998923223WikidataQ125362477 ScholiaQ125362477MaRDI QIDQ1411696

Kunio Sakamoto

Publication date: 10 February 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246939

zbMATH Keywords

Willmore surfacesminimal immersionsnormal curvature

Mathematics Subject Classification ID

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

Cites Work

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• A duality theorem for Willmore surfaces
• Normal curvature of surfaces in space forms
• Inequalities of Willmore type for submanifolds
• The conformal Gauss map of submanifolds of the Möbius space
• Constant isotropic surfaces in 5-dimensional space forms
• On minimal immersions of \(R^2\) into \(S^n\)
• Willmore submanifolds of the Möbius space and a Bernstein-type theorem
• Willmore immersions and loop groups
• Curvature functions for open 2-manifolds
• Minimal immersions of surfaces in Euclidean spheres
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Minimal Surfaces of Constant Curvature in S n
• Willmore Surfaces with a Duality in S ^N (1)
• Submanifolds with Constant Mean Curvature
• Complete Riemannian Manifolds and Some Vector Fields

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