3 papers
math.DG2025
Some rigidity results for static three-manifolds with boundary and positive scalar curvature
Vladimir Medvedev
This paper studies three-dimensional compact static manifolds with boundary and positive scalar curvature. We prove that, under a suitable bound on the Ricci curvature, the orienta…
math.DG2025
On electrostatic manifolds with boundary
Stanislav Demurov, Vladimir Medvedev
Static manifolds with boundary were recently introduced by Cruz and Vitório in the context of the prescribed scalar curvature problem in a manifold with boundary with prescribed m…
math.DG2025
Static manifolds with boundary: Their geometry and some uniqueness theorems
Vladimir Medvedev
Static manifolds with boundary were recently introduced to mathematics. This kind of manifold appears naturally in the prescribed scalar curvature problem on manifolds with boundar…