General helices and a theorem of Lancret

被引：155

作者：

Barros, M

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 05期

关键词：

general helix; theorem of Lancret; Hopf cylinder;

D O I：

10.1090/S0002-9939-97-03692-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a theorem of Lancret for general helices in a 3-dimensional real-space-form which gives a relevant difference between hyperbolic and spherical geometries. Then we study two classical problems for general helices in the 3-sphere: the problem of solving natural equations and the closed curve problem.

引用

页码：1503 / 1509

页数：7