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Properties of biharmonic submanifolds in spheres

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Publication:983101
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zbMath1195.53080MaRDI QIDQ983101

Adina Balmuş, Stefano Montaldo, Cezar Dumitru Oniciuc

Publication date: 28 July 2010

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)


zbMATH Keywords

constant mean curvaturebiharmonic mapsbienergy functionalproper biharmonic submanifolds


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43)


Related Items (8)

Some recent progress of biharmonic submanifolds ⋮ Complete biconservative surfaces in \(\mathbb{R}^3\) and \(\mathbb{S}^3\) ⋮ Biharmonic hypersurfaces with three distinct principal curvatures in Euclidean 5-space ⋮ Biharmonic submanifolds with parallel mean curvature vector in pseudo-Euclidean spaces ⋮ Biharmonic integral \(\mathcal{C}\)-parallel submanifolds in 7-dimensional Sasakian space forms ⋮ Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor ⋮ Biharmonic submanifolds in manifolds with bounded curvature ⋮ Explicit classification of biconservative surfaces in Lorentz 3-space forms







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