p-Biharmonic hypersurfaces in Einstein space and conformally flat space

Khadidja Mouffoki; Ahmed Mohammed Cherif

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arXiv · 2111.12003

p-Biharmonic hypersurfaces in Einstein space and conformally flat space

Khadidja Mouffoki·Ahmed Mohammed Cherif

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Abstract

In this paper, we present some new properties for p-biharmonic hypersurfaces in Riemannian manifold. We also characterize the p-biharmonic submanifolds in an Einstein space. We construct a new example of proper p-biharmonic hypersurfaces. We present some open problems.

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Khadidja Mouffoki, Ahmed Mohammed Cherif. 2021-11-23. p-Biharmonic hypersurfaces in Einstein space and conformally flat space. https://arxiv.org/abs/2111.12003

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