A Characterization of Curves that Lie on a Totally Umbilical Surface of a Space Form

Autor:	López, Rafael
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry 53A04 53A05 53B20
Druh dokumentu:	Working Paper
Popis:	We give necessary and sufficient conditions on the curvature and the torsion of a regular curve of the space forms $\h^3$ and $\s^3$ to be contained in a totally umbilical surface. In case that the curve has constant torsion, we obtain the value of the curvature of the curve. Also numerical pictures of these curves are shown. Comment: 17 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.19501 Zobrazit plný text záznamu View this record from Arxiv