Some variational properties of the weighted σ_r-curvature for submanifolds in Riemannian manifolds

2020/07/28 by Mohammed Benalili, Benalili, Mohammed
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.2007.14494

11 pages

arxiv created 2020/07/28 · arxiv updated 2020/07/30

Abstract

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 applications to hypersurfaces of the Euclidean space and the unit round sphère are given.

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