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VOL. 10 | 2009 On the Geometry of Biharmonic Submanifolds in Sasakian Space Forms
Dorel Fetcu, Cezar Oniciuc

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

Abstract

We classify all proper-biharmonic Legendre curves in a Sasakian space form and point out some of their geometric properties. Then we provide a method for constructing anti-invariant proper-biharmonic submanifolds in Sasakian space forms. Finally, using the Boothby-Wang fibration, we determine all proper-biharmonic Hopf cylinders over homogeneous real hypersurfaces in complex projective spaces.

Information

Published: 1 January 2009
First available in Project Euclid: 13 July 2015

zbMATH: 1181.31003
MathSciNet: MR2757833

Digital Object Identifier: 10.7546/giq-10-2009-171-182

Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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