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
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
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