VARIATIONAL APPROACH TO THE RIGIDITY OF CONSTANT sigma_2 HYPERSURFACES IN WEIGHTED RIEMANNIAN MANIFOLDS

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20m

Speaker

Prof. Mohammed Abdelmalek (Higher school of management of Tlemcen)

Description

In this paper, we introduce an study the weighted linearized operator L_k associated with the k-elementary symmetric functions ?sigma_k. By deriving new variational formulae, we establish a rigidity theorem for closed strictly convex hypersurfaces with contant ?sigma_2 curvature in weighted space forms.

Author

Prof. Mohammed Abdelmalek (Higher school of management of Tlemcen)

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