Mean curvature rigidity of horospheres, hyperspheres and hyperplanes
Résumé
We prove that horospheres, hyperspheres and hyperplanes in a hyperbolic space H n , n ≥ 3, admit no perturbations with compact support which increase their mean curvature. is is an extension of the analogous result in the Euclidean spaces, due to M. Gromov, which states that a hyperplane in a Euclidean space R n admits no compactly supported perturbations having mean curvature ≥ 0.
Domaines
Géométrie différentielle [math.DG]
Origine : Fichiers produits par l'(les) auteur(s)
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