4 papers
Spectral and Nodal Properties of Static Manifolds with Boundary
Vladimir Medvedev
We study compact static manifolds with boundary from a spectral point of view, with particular emphasis on the relation between Dirichlet, Neumann, and Robin spectra and the nodal…
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…
On electrostatic manifolds with boundary
Stanislav Demurov, Vladimir Medvedev
Static manifolds with boundary were recently introduced in the context of the problem of prescribing both the scalar curvature of a Riemannian manifold and the mean curvature of it…
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…