20 citations · 77 across the 14 of their papers we have counts for
19 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…
Obstacles and Singularities of Riemannian Distance Functions
Paolo Albano, Piermarco Cannarsa, Carlo Sinestrari
We study the distance function from a point target in the complement of a compact obstacle endowed with a smooth Riemannian metric. We prove that the obstacle necessarily generates…
Volume preserving mean curvature flow of round surfaces in asymptotically flat spaces
Carlo Sinestrari, Jacopo Tenan
We study the volume preserving mean curvature flow of a surface immersed in an asymptotically flat -manifold modeling an isolated gravitating system in General Relativity. We sh…
Hypersurfaces with capillary boundary evolving by volume preserving power mean curvature flow
Carlo Sinestrari, Liangjun Weng
In this paper, we introduce a volume- or area-preserving curvature flow for hypersurfaces with capillary boundary in the half-space, with speed given by a positive power of the mea…
Non-homothetic convex ancient solutions for flows by high powers of curvature
Susanna Risa, Carlo Sinestrari
We prove the existence of closed convex ancient solutions to curvature flows which become more and more oval for large negative times. The speed function is a general symmetric fun…
Strong spherical rigidity of ancient solutions of expansive curvature flows
Susanna Risa, Carlo Sinestrari
We consider geometric flows of hypersurfaces expanding by a function of the extrinsic curvature and we show that the homothethic sphere is the unique solution of the flow which con…