R. D. de Lima

activity

20172024

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Showing 2023Show all

3 papers · 1 filter

math.DG2023

Solitons to Mean Curvature Flow in the hyperbolic 3-space

R. F. de Lima, A. K. Ramos, J. P. dos Santos

We consider {translators} (i.e., initial condition of translating solitons) to mean curvature flow (MCF) in the hyperbolic $3$ -space $H^{3}$ , providing existence and classifi…

math.DG2023

A Survey on Convex Hypersurfaces of Riemannian Manifolds

Ronaldo Freire de Lima

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…

math.DG2023

On Stability and Isoperimetry of Constant Mean Curvature Spheres of $H^{n} \times R$ and $S^{n} \times R .$

Ronaldo F. de Lima, Maria F. Elbert, Barbara Nelli

We approach the one-parameter family of rotational constant mean curvature (CMC) spheres of $H^{n} \times R$ and $S^{n} \times R$ focusing on their stabilit…

Solitons to Mean Curvature Flow in the hyperbolic 3-space

A Survey on Convex Hypersurfaces of Riemannian Manifolds

On Stability and Isoperimetry of Constant Mean Curvature Spheres of Hn×R and Sn×R.

On Stability and Isoperimetry of Constant Mean Curvature Spheres of $H^{n} \times R$ and $S^{n} \times R .$