10 citations · 10 across the 5 of their papers we have counts for
5 papers
Submetry onto one-dimensional space
Darya Sukhorebska
We provide the full classification of equidistant decomposition of a two-dimensional Euclidean plane and a two-dimensional sphere.
Simple closed geodesics on regular spherical polyhedra
Darya Sukhorebska
In this article, we found all simple closed geodesics on regular spherical octahedra and spherical cubes. In addition, we estimate the number of simple closed geodesics on regular…
Simple closed geodesics on regular tetrahedra in spaces of constant curvature
Darya Sukhorebska
In this survey results on the behavior of simple closed geodesics on regular tetrahedra in three-dimensional spaces of constant curvature are presented.
Simple closed geodesics on regular tetrahedra in Lobachevsky space
Alexander A. Borisenko, Darya D. Sukhorebska
We obtained a complete classification of simple closed geodesics on regular tetrahedra in Lobachevsky space. Also, we evaluated the number of simple closed geodesics of length not…
Close geodesics on regular tetrahedra in hyperbolic space
A. A. Borisenko, D. D. Sukhorebska
In this paper we present a necessary conditions, that simple close geodesics on regular tetrahedra in the 3-dimensional hyperbolic space must satisfy. Furthermore, we explicitly de…