3 papers
math.DG2026
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.
math.DG2024
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…
math.MG2019
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…