Properties of biharmonic submanifolds in spheres

2009/08/21 by A. Balmuş, Balmuş, A., Stefano Montaldo +3 · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.0908.3063

Abstract

In the present paper 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.

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• Recent developments of biharmonic conjecture and modified biharmonic conjectures

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