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arXiv · 2012.12476

Biharmonic and biconservative hypersurfaces in space forms

Dorel Fetcu·Cezar Oniciuc
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Abstract

We present some general properties of biharmonic and biconservative submanifolds and then survey recent results on such hypersurfaces in space forms. We also propose an alternative version for a well-known result of Nomizu and Smyth for hypersurfaces by replacing the CMC hypothesis with the more general condition of biconservativity.

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Dorel Fetcu, Cezar Oniciuc. 2020-12-23. Biharmonic and biconservative hypersurfaces in space forms. https://arxiv.org/abs/2012.12476

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