R. D. de Lima

activity

20182021

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2021

Totally Umbilical Hypersurfaces of Product Spaces

Ronaldo F. de Lima, João Paulo dos Santos

Given a Riemannian manifold $M,$ and an open interval $I \subset R,$ we characterize nontrivial totally umbilical hypersurfaces of the product $M \times I$ -- as well as of w…

math.DG2019

Hypersurfaces of Product Spaces with a Canonical Direction

Ronaldo F. de Lima, Pedro Roitman

Consider a complete Riemannian manifold $M^{n}$ and let $Σ^{n}$ be an orientable hypersurface of the product manifold $M \times R$ endowed with its standard product metric $\lan…

math.DG2018

Embeddedness, Convexity, and Rigidity of Hypersurfaces in Product Spaces

Ronaldo Freire de Lima

We establish the following Hadamard--Stoker type theorem: Let $f : M^{n} \to H^{n} \times R$ be a complete connected hypersurface with positive definite second fund…