General helices and a theorem of Lancret
Author:
- Manuel BarrosMBManuel Barros
- 1 May 1997
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 125 (5) , 1503-1509
Abstract
We present a theorem of Lancret for general helices in a 3-dimen- sional 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.Keywords
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