Document Zbl 1195.53080

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Properties of biharmonic submanifolds in spheres. (English) Zbl 1195.53080

J. Geom. Symmetry Phys. 17, 87-102 (2010).

Summary: We survey the most recent classification results for proper biharmonic submanifolds in unit Euclidean spheres. We also obtain some new results concerning geometric properties of proper biharmonic constant mean curvature submanifolds in spheres.

Cited in 1 Review

Cited in 8 Documents

MSC:

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

Keywords:

biharmonic maps; bienergy functional; proper biharmonic submanifolds; constant mean curvature

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