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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2008; 45(2): 393-404

Printed March 1, 2008

Copyright © The Korean Mathematical Society.

Biharmonic Legendre curves in Sasakian space forms

Dorel Fetcu

Gh. Asachi Technical University

Abstract

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Biharmonic Legendre curves in a Sasakian space form are studied. A non-existence result in a 7-dimensional 3-Sasakian manifold is obtained. Explicit formulas for some biharmonic Legendre curves in the 7-sphere are given.

Keywords: Sasakian space form, Legendre curve, biharmonic curve

MSC numbers: 53C42, 53B25

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