R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Rigidity of calibrated submanifolds in some local examples of manifolds with special holonomy
Chung-Jun Tsai (National Taiwan University)
We will show that the zero section is the unique special Lagrangian submanifolds in the Stenzel metric on the cotangent bundles of spheres (or the Eguchi-Hanson metric in dimension 4). The rigidity results also holds for the zero section in the local G2 and Spin (7) constructed by Bryant--Salamon. This is based on an ongoing project with M.-T. Wang.