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On slant curves in Sasakian 3-manifolds

Published online by Cambridge University Press:  17 April 2009

Jong Taek Cho ,
Jun-Ichi Inoguchi  and
Ji-eun Lee
Jong Taek Cho
Affiliation:
Department of Mathematics, Chonnam National University, CNU The Institute of Basic Science, Kwangju, 500–757, Korea, e-mail: jtcho@chonnam.ac.kr
Jun-Ichi Inoguchi
Affiliation:
Department of Mathematics, Graduate School, Chonnam National University, Kwangju, 500–757, Korea
Ji-eun Lee
Affiliation:
Department of Mathematics Education, Utsunomiya University, Utsunomiya 321–8505, Japan, e-mail: inoguchi@cc.utsunomiya-u.ac.jp
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A classical theorem by Lancret says that a curve in Euclidean 3-space is of constant slope if and only if its ratio of curvature and torsion is constant. In this paper we study Lancret type problems for curves in Sasakian 3-manifolds.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 359 - 367
Copyright
Copyright © Australian Mathematical Society 2006

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