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On complete trapped submanifolds in globally hyperbolic spacetimes
Alma L. Albujer, Jónatan Herrera, Rafael M. Rubio
The aim of this manuscript is to obtain rigidity and non-existence results for parabolic spacelike submanifolds with causal mean curvature vector field in orthogonally splitted spa…
A Moser-Bernstein problem for Riemannian warped products
Alma L. Albujer, Jónatan Herrera, Rafael M. Rubio
In this work we deal with an elliptic non-linear problem, which arises naturally from Riemannian geometry. This problem has clasically been studied in the the Euclidean -dimensi…
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…