Classification results and new examples of proper biharmonic submanifolds in spheres


Abstract


In this paper we survey the known results on the classification of biharmonic submanifolds in space forms and construct a family of new examples of proper biharmonic submanifolds in the Euclidean n-dimensional sphere.

DOI Code: 10.1285/i15900932v28n1supplp49

Keywords: biharmonic maps; biharmonic submanifolds; isoparametric hypersurfaces

Classification: 58E20

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