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August, 2004 A note on mean curvature, Maslov class and symplectic area of Lagrangian immersions
Kai Cieliebak, Edward Goldstein
J. Symplectic Geom. 2(2): 261-266 (August, 2004).

Abstract

In this note we prove a simple relation between the mean curvature form, symplectic area, and the Maslov class of a Lagrangian immersion in a Kähler-Einstein manifold. An immediate consequence is that in Kähler-Einstein manifolds with positive scalar curvature, minimal Lagrangian immersions are monotone.

Citation

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Kai Cieliebak. Edward Goldstein. "A note on mean curvature, Maslov class and symplectic area of Lagrangian immersions." J. Symplectic Geom. 2 (2) 261 - 266, August, 2004.

Information

Published: August, 2004
First available in Project Euclid: 1 September 2004

zbMATH: 1080.53078
MathSciNet: MR2108376

Rights: Copyright © 2004 International Press of Boston

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Vol.2 • No. 2 • August, 2004
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