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

Kodai Mathematical Journal

Kotaro Kawai¹ 

[1] Graduate School of Mathematical Science University of Tokyo

关键词: geodesic spehres;    horospheres;    tubes around totally geodesic complex hypersurfaces;    Sasakian magnetic fields;    circular trajectories;    extrinsic shapes;    length spectrum;    complex hyperbolic spaces;   

DOI  :  10.2996/kmj/1320935557

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 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.

【 授权许可】

Unknown