Kodai Mathematical Journal

Torus invariant special Lagrangian submanifolds in the canonical bundle of toric positive Kähler Einstein manifolds

Kotaro Kawai

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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.

Article information

Source
Kodai Math. J., Volume 34, Number 3 (2011), 519-535.

Dates
First available in Project Euclid: 10 November 2011

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1320935557

Digital Object Identifier
doi:10.2996/kmj/1320935557

Mathematical Reviews number (MathSciNet)
MR2855838

Zentralblatt MATH identifier
1236.53059

Citation

Kawai, Kotaro. Torus invariant special Lagrangian submanifolds in the canonical bundle of toric positive Kähler Einstein manifolds. Kodai Math. J. 34 (2011), no. 3, 519--535. doi:10.2996/kmj/1320935557. https://projecteuclid.org/euclid.kmj/1320935557


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