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ON LEGENDRE CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS

Part of: Variational problems in infinite-dimensional spaces

Published online by Cambridge University Press:  05 November 2009

JI-EUN LEE
JI-EUN LEE*
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea (email: [email protected])
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Abstract

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We find necessary and sufficient conditions for a Legendre curve in a Sasakian manifold to have: (i) a pseudo-Hermitian parallel mean curvature vector field; (ii) a pseudo-Hermitian proper mean curvature vector field in the normal bundle.

Keywords

Legendre curvescontact pseudo-Hermitian CR-manifoldpseudo-Hermitian minimalpseudo-Hermitian mean curvature vector field

MSC classification

Secondary: 58E20: Harmonic maps , etc.
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 1 , February 2010 , pp. 156 - 164
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

References

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