Open Access
October 2011 Torus invariant special Lagrangian submanifolds in the canonical bundle of toric positive Kähler Einstein manifolds
Kotaro Kawai
Kodai Math. J. 34(3): 519-535 (October 2011). DOI: 10.2996/kmj/1320935557

Abstract

In this paper we construct torus invariant special Lagrangian submanifolds in the canonical bundle KM of the toric positive Kähler Einstein manifold M. We construct a Ricci-flat metric on KM using the Calabi ansatz to show that KM is a Calabi-Yau manifold. Then, using moment map techniques developed in [6], we construct special Lagrangian submanifolds in KM.

Citation

Download Citation

Kotaro Kawai. "Torus invariant special Lagrangian submanifolds in the canonical bundle of toric positive Kähler Einstein manifolds." Kodai Math. J. 34 (3) 519 - 535, October 2011. https://doi.org/10.2996/kmj/1320935557

Information

Published: October 2011
First available in Project Euclid: 10 November 2011

zbMATH: 1236.53059
MathSciNet: MR2855838
Digital Object Identifier: 10.2996/kmj/1320935557

Rights: Copyright © 2011 Tokyo Institute of Technology, Department of Mathematics

Vol.34 • No. 3 • October 2011
Back to Top