4 papers
On free boundary minimal submanifolds with boundary on concentric spheres in Euclidean spac
Tianyu Ma, Vladimir Medvedev
The search for free boundary minimal submanifolds in Euclidean space with boundaries on a collection of concentric spheres naturally extends the classical problem in the unit Eucli…
On the dimension of the space of static potentials on three-manifolds
Vladimir Medvedev
We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial…
Some new functionals related to free boundary minimal submanifolds
Tianyu Ma, Vladimir Medvedev
The metrics induced on free boundary minimal surfaces in geodesic balls in the upper unit hemisphere and hyperbolic space can be characterized as critical metrics for the functiona…
On free boundary minimal submanifolds in geodesic balls in and
Vladimir Medvedev
We consider free boundary minimal submanifolds in geodesic balls in the hyperbolic space and in the round upper hemisphere . Recently, Lima and Menezes…