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math.DG2026
A short proof of Bernstein's theorem via the Omori--Yau maximum principle
Luis J. Alias, Miguel A. Meroño
We give a short, self-contained proof of Bernstein's theorem: every entire minimal graph in is a plane. The only global tool is the Omori-Yau maximum principle, which holds o…
math.DG2013
First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions
Miguel A. Meroño, Irene Ortiz
We find out upper bounds for the first eigenvalue of the stability operator for compact constant mean curvature orientable surfaces immersed in a Riemannian Killing submersion. As…
math.DG2013
On the first stability eigenvalue of constant mean curvature surfaces into homogeneous 3-manifolds
Luis J. Alías, Miguel A. Meroño, Irene Ortiz
We find out upper bounds for the first eigenvalue of the stability operator for compact constant mean curvature surfaces immersed into certain 3-dimensional Riemannian spaces, in p…