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Compact Minimal Submanifolds in a Large Class of Riemannian Manifolds
(Springer, 2023)
Through a new technique, we provide uniqueness, rigidity and non-existence results for compact minimal submanifolds of arbitrary dimension in a large class of Riemannian manifolds, which include between others, Riemannian ...
On complete trapped submanifolds in globally hyperbolic spacetimes
(IOP Publishing, 2023)
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 spacetimes, and in particular, in globally ...