1 citations · 2 across the 12 of their papers we have counts for
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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…
The quermassintegral preserving mean curvature flow in the sphere
Esther Cabezas-Rivas, Julian Scheuer
We introduce a mean curvature flow with global term of convex hypersurfaces in the sphere, for which the global term can be chosen to keep any quermassintegral fixed. Then, startin…
Brownian motion on Perelman's almost Ricci-flat manifold
Esther Cabezas-Rivas, Robert Haslhofer
We study Brownian motion and stochastic parallel transport on Perelman's almost Ricci flat manifold , whose dimension depends on a parameter…