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arXiv · 2302.00809

A Survey on Convex Hypersurfaces of Riemannian Manifolds

Ronaldo Freire de Lima
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Abstract

We survey the main extensions of the classical Hadamard, Liebmann and Cohn-Vossen rigidity theorems on convex surfaces of $3$-Euclidean space to the context of convex hypersurfaces of Riemannian manifolds. The results we present include the one by Professor Renato Tribuzy (in collaboration with H. Rosenberg) on rigidity of convex surfaces of homogeneous $3$-manifolds.

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Ronaldo Freire de Lima. 2023-02-02. A Survey on Convex Hypersurfaces of Riemannian Manifolds. https://doi.org/10.21711/231766362022

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