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BIHARMONIC LAGRANGIAN SURFACES OF CONSTANT MEAN CURVATURE IN COMPLEX SPACE FORMS

Published online by Cambridge University Press:  01 September 2007

TORU SASAHARA
TORU SASAHARA*
Affiliation:
Department of Mathematics, Oita National College of Technology, 1666 Maki, Oita 870-0150, Japan e-mail: t-sasa@oita-ct.ac.jp
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Abstract

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Biharmonic Lagrangian surfaces of constant mean curvature in complex space forms are classified. A further important point is that new examples of marginally trapped biharmonic Lagrangian surfaces in an indefinite complex Euclidean plane are obtained. This fact suggests that Chen and Ishikawa's classification of marginally trapped biharmonic surfaces [6] is not complete.

Keywords

Primary 53C42Secondary 53B25.
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 3 , September 2007 , pp. 497 - 507
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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