4 citations · 8 across the 6 of their papers we have counts for
6 papers · 1 filter
L1-2-type surfaces in 3-dimensional De Sitter and anti De Sitter spaces
S. Carolina García-Martínez, Pascual Lucas, H. Fabián Ramírez-Ospina
Let be an orientable surface immersed in the De Sitter space in or anti de Sitter space in . In the case that is of -2-type we prove tha…
Local rigidity for Yamabe-type problems in warped products
Sandra C. García-Martinez, J. Herrera
Our aim in this paper is to study local rigidity for metrics defined on a compact manifold with boundary satisfying constant scalar curvature on and constant mean curvature…
Rigidity and bifurcation results for CMC hypersurfaces in warped product spaces
Sandra C. García-Martínez, J. Herrera
In this paper, we deduce some rigidity results in warped product spaces under normal variations of CMC hypersurfaces. In particular, we prove the existence of one-parameter familie…
Eigenvalue estimates for submanifolds of warped product spaces
G. Pacelli Bessa, S. Carolina Garcia-Martinez, Luciano Mari +1
We give lower bounds for the fundamental tone of open sets in minimal submanifolds immersed into warped product spaces of type , where . We als…
A sharp height estimate for compact hypersurfaces with constant -mean curvature in warped product spaces
Sandra C. García-Martínez, Debora Impera, Marco Rigoli
In this paper we obtain a sharp height estimate concerning compact hypersurfaces immersed into warped product spaces with some constant higher order mean curvature, and whose bound…
On the scalar curvature of constant mean curvature hypersurfaces in space forms
Luis J. Alias, S. Carolina Garcia-Martinez
In this paper we study the behavior of the scalar curvature of a complete hypersurface immersed with constant mean curvature into a Riemannian space form of constant curvature,…