Torus invariant special Lagrangian submanifolds in the canonical bundle of toric positive Kähler Einstein manifolds
[摘要] References(12)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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[效力级别] [学科分类] 数学(综合)
[关键词] geodesic spehres;horospheres;tubes around totally geodesic complex hypersurfaces;Sasakian magnetic fields;circular trajectories;extrinsic shapes;length spectrum;complex hyperbolic spaces [时效性]