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General helices and a theorem of Lancret
Manuel Barros
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Source: Crossref
Published: May 1, 1997
DOI: 10.1090/s0002-9939-97-03692-7
Open original source ↗Source 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.
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