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Ideal Lagrangian immersions in complex space forms

Published online by Cambridge University Press:  01 May 2000

BANG-YEN CHEN
BANG-YEN CHEN
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, U.S.A. e-mail: bychen@ math.msu.edu
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Abstract

Roughly speaking, an ideal immersion of a Riemannian manifold into a space form is an isometric immersion which produces the least possible amount of tension from the ambient space at each point of the submanifold. In this paper we study Lagrangian immersions in complex space forms which are ideal. We prove that all Lagrangian ideal immersions in a complex space form are minimal. We also determine ideal Lagrangian submanifolds in complex space forms.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 3 , May 2000 , pp. 511 - 533
Copyright
The Cambridge Philosophical Society 2000

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