3 papers
math.DG2026
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…
math.DG2026
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…
math.AP2026
Lipschitz regularity for manifold-constrained ROF elliptic systems
Esther Cabezas-Rivas, Salvador Moll, Vicent Pallardó-JuliÃ
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…