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General Helices and a Theorem of Lancret
Proceedings of the American Mathematical Society
Vol. 125, No. 5 (May, 1997), pp. 1503-1509
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2162098
Page Count: 7
You can always find the topics here!Topics: Curvature, Mathematical theorems, Cylinders, Vector fields, Killing, Mathematical helices, Mathematical problems, Sine function, Closed curves, Euclidean space
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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.
Proceedings of the American Mathematical Society © 1997 American Mathematical Society