3 citations · 5 across the 2 of their papers we have counts for
2 papers
math.MG2014★ 2 cited
Compact domains with prescribed convex boundary metrics in quasi-Fuchsian manifolds
Dmitriy Slutskiy
We show the existence of a convex compact domain in a quasi-Fuchsian manifold such that the induced metric on its boundary coincides with a prescribed surface metric of curvature $…
math.MG2010★ 3 cited
An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevsky 3-space
Dmitriy Slutskiy
We give an example of an infinitesimally nonrigid polyhedron in the Lobachevsky 3-space and construct an infinitesimal flex of that polyhedron such that the volume of the polyhedro…