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Torus invariant special Lagrangian submanifolds in the canonical bundle of toric positive Kähler Einstein manifolds
Kotaro Kawai
Source: Kodai Math. J. Volume 34, Number 3
(2011), 519-535.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.kmj/1320935557
Digital Object Identifier: doi:10.2996/kmj/1320935557
Mathematical Reviews number (MathSciNet): MR2855838
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2012 © Tokyo Institute of Technology, Department of Mathematics
Kodai Mathematical Journal
