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Stability of Biharmonic Legendrian Submanifolds in Sasakian Space Forms

Published online by Cambridge University Press:  20 November 2018

Toru Sasahara
Toru Sasahara*
Affiliation:
Department of System and Information Technology, Hachinohe Institute of Technology, 88-1 Ohbiraki Myo Hachinohe Aomori, 031-8501, Japan. e-mail: sasahara@hi-tech.ac.jp
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Abstract

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Biharmonic maps are defined as critical points of the bienergy. Every harmonic map is a stable biharmonic map. In this article, the stability of nonharmonic biharmonic Legendrian submanifolds in Sasakian space forms is discussed.

Keywords

53C4253C40biharmonic mapsSasakian manifoldsLegendrian submanifolds
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 3 , 01 September 2008 , pp. 448 - 459
Copyright
Copyright © Canadian Mathematical Society 2008

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