3 papers
math.AP2026
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…
math.DG2025
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…
math.DG2024
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…