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math.DG2020
Variational properties of -curvature for closed submanifolds of arbitrary codimension in Riemannian manifolds
Mohammed Benalili
The objet of this paper is the study of variations of a functional whose integrant is the -curvature of closed submanifolds of arbitrary codimension in Riemannian manifolds.
math.DG2020
Some integral formulae on weighted manifolds
Mohammed Abdelmalek, Mohammed Benalili
Introducing a notion of the weighted mean sigma-r curvature and using the weighted Newton transformations we derive in this paper some integral formulae on weighted manifolds. Thes…
math.DG2020
Some variational properties of the weighted σ_{r}-curvature for submanifolds in Riemannian manifolds
Mohammed Benalili
The objet of this paper is the study of the variations of a functional whose integrant is the r-th weighted curvature on the hypersurface of a closed Riemannian manifold. Some appl…