Submetry onto one-dimensional space
We provide the full classification of equidistant decomposition of a two-dimensional Euclidean plane and a two-dimensional sphere.
math.DG↗
arXiv subjects
Darya Sukhorebska
Publications and source records attributed to Darya Sukhorebska.
Simple closed geodesics on regular spherical polyhedra
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 spherical tetrahedra.
math.DG↗
Simple closed geodesics on regular tetrahedra in spaces of constant curvature
In this survey results on the behavior of simple closed geodesics on regular tetrahedra in three-dimensional spaces of constant curvature are presented.
math.MG↗