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math.DG2022
Uniqueness results and enclosure properties for hypersurfaces with boundary in weighted cylinders
Katherine Castro, César Rosales
For a Riemannian manifold , possibly with boundary, we consider the Riemannian product with a smooth positive function that weights the Riemannian measures…
math.DG2021
Isoperimetric inequalities in cylinders with density
Katherine Castro
Given a compact Riemannian manifold with density without boundary and the real line with constant density, we prove that isoperimetric regions of large volume in $…
math.DG2013★ 30 cited
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…