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2009 On the Geometry of Biharmonic Submanifolds in Sasakian Space Forms
Dorel Fetcu, Cezar Oniciuc
J. Geom. Symmetry Phys. 14: 21-34 (2009). DOI: 10.7546/jgsp-14-2009-21-34

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 the Sasakian space forms. Finally, using the Boothby-Wang fibration, we determine all proper-biharmonic Hopf cylinders over homogeneous real hypersurfaces in complex projective spaces.

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Dorel Fetcu. Cezar Oniciuc. "On the Geometry of Biharmonic Submanifolds in Sasakian Space Forms." J. Geom. Symmetry Phys. 14 21 - 34, 2009. https://doi.org/10.7546/jgsp-14-2009-21-34

Information

Published: 2009
First available in Project Euclid: 24 May 2017

zbMATH: 1201.53062
MathSciNet: MR2536497
Digital Object Identifier: 10.7546/jgsp-14-2009-21-34

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

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