3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DG2017
Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds
François Fillastre, Dmitriy Slutskiy
We prove that any metric of non-positive curvature in the sense of Alexandrov on a compact surface can be isometrically embedded as a convex spacelike Cauchy surface in a flat spac…
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…