1 citations · 2 across the 12 of their papers we have counts for
18 papers
Geometric -stability of geodesic spheres under volume-preserving mean curvature flow
Esther Cabezas-Rivas, Carlo Sinestrari
We prove stability of geodesic spheres under volume-preserving mean curvature flow in the simply connected space forms under genuinely first-order geometric assumptions. The initia…
Smoothing polyhedral spaces via Ricci flow
Richard H. Bamler, Esther Cabezas-Rivas
We prove Petrunin's smoothing conjecture in all dimensions: every compact Euclidean polyhedral space without boundary and with nonnegative Alexandrov curvature is a Gromov-Hausdorf…
The quermassintegral preserving curvature flow for horo-convex hypersurfaces in the sphere
Sara Albert-Niclòs, Esther Cabezas-Rivas, Shujing Pan
We introduce fully nonlinear curvature flows of horo-convex hypersurfaces in the sphere that preserve an arbitrarily prescribed spherical quermassintegral. The non-local normalizat…
Constrained Curvature Flows on Pinched Hadamard Surfaces
Sara Albert-Niclòs, Esther Cabezas-Rivas
We study area- and length-preserving curvature flows for embedded closed curves on pinched Hadamard surfaces. In the variable-curvature setting, the evolution equations contain add…
Lipschitz regularity for manifold-constrained ROF elliptic systems
Esther Cabezas-Rivas, Salvador Moll, Vicent Pallardó-Julià
We study a generalization of the manifold-valued Rudin-Osher-Fatemi (ROF) model, which involves an initial datum mapping from a curved compact surface with smooth boundary to a…
Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of -capacitary potentials
Esther Cabezas-Rivas, Salvador Moll, Marcos Solera
We construct weak solutions of the anisotropic inverse mean curvature flow (A-IMCF) under very mild assumptions both on the anisotropy (which is simply a norm in with…