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15 papers · 2 filters
Large isoperimetric regions in the product of a compact manifold with Euclidean space
Manuel Ritoré, Efstratios Vernadakis
Given a compact Riemannian manifold without boundary, we show that large isoperimetric regions in are tubular neighborhoods of , with $x\in\…
Complete non-orientable minimal surfaces in and asymptotic behavior
Antonio Alarcon, Francisco J. Lopez
In this paper we give new existence results for complete non-orientable minimal surfaces in with prescribed topology and asymptotic behavior.
Free boundary stable hypersurfaces in manifolds with density and rigidity results
Katherine Castro, César Rosales
Let be a weighted manifold with boundary , i.e., a Riemannian manifold where a density function is used to weight the Riemannian Hausdorff measures. In this paper w…
Finsler metrics and relativistic spacetimes
Miguel A. Javaloyes, Miguel Sánchez
Recent links between Finsler Geometry and the geometry of spacetimes are briefly revisited, and prospective ideas and results are explained. Special attention is paid to geometric…
Compact embedded minimal surfaces in
José M. Manzano, Julia Plehnert, Francisco Torralbo
We prove that closed surfaces of all topological types, except for the non-orientable odd-genus ones, can be minimally embedded in the Riemannian product of a sphere and a circle o…
Constant mean curvature spheres in homogeneous three-spheres
William H. Meeks, Pablo Mira, Joaquin Perez +1
We give a complete classification of the immersed constant mean curvature spheres in a three-sphere with an arbitrary homogenous metric, by proving that for each ,…