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math.DG2021★ 1 cited
p-Biharmonic hypersurfaces in Einstein space and conformally flat space
Khadidja Mouffoki, Ahmed Mohammed Cherif
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 con…
math.DG2021
On the p-biharmonic submanifolds and stress p-bienergy tensors
Khadidja Mouffoki, Ahmed Mohammed Cherif
In this paper, we consider p-biharmonic submanifolds of aspace form. We give the necessary and sufficient conditions for a submanifold to be p-biharmonic in a space form. We presen…
math.DG2021
Second Variation of F-Einstein-Hilbert Functional
Ahmed Mohammed Cherif
This article describes a formula for second variation of generalized Einstein-Hilbert functional on Riemannian manifolds. This work extends the definition of stable Einstein manifo…