Some Curves on Three Dimensional Kenmotsu Space Forms

Authors : Ashis MONDAL

Pages : 153-157

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Publication Date : 2018-04-15

Article Type : Research Paper

Abstract : The object of the present paper is to study slant curves, $C$-parallel slant curves on Kenmotsu space forms. As a particular case we consider Legendre curves and integral curves of the Reeb vector fields. We show that on such manifolds Legendre curves do not exist and the slant integral curves of the Reeb vector fields are a geodesics. We also study biharmonic curves on such manifolds. An example is given.
Keywords : Kenmotsu space forms, Legendre curves, slant curves