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General Helices and a Theorem of Lancret

Manuel Barros
Proceedings of the American Mathematical Society
Vol. 125, No. 5 (May, 1997), pp. 1503-1509
Stable URL: http://www.jstor.org/stable/2162098
Page Count: 7
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General Helices and a Theorem of Lancret
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Abstract

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.

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