p-Biharmonic hypersurfaces in Einstein space and conformally flat space

2021/11/23 by Mouffoki, Khadidja, Cherif, Ahmed Mohammed
#53C25 #53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.12003

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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