5 papers
Non-degenerate anisocurved surfaces in homogeneous 3-manifolds
Alma L. Albujer, Fábio R. dos Santos
In this manuscript we consider non-degenerate surfaces immersed in a 3-dimensional homogeneous space endowed with two different metrics, the one induce…
Willmore surfaces and Hopf tori in homogeneous 3-manifolds
Alma L. Albujer, Fábio R. dos Santos
Some classification results for closed surfaces in Berger spheres are presented. On the one hand, a Willmore functional for isometrically immersed surfaces into an homogeneous spac…
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…
Total mean curvature surfaces in the product space and applications
Alma L. Albujer, Sylvia F. da Silva, Fábio R. dos Santos
The total mean curvature functional for submanifolds into the Riemannian product space is considered and its first variational formula is presented.…