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NCTS Seminar in Differential Geometry
 
16:00 - 17:00, March 3, 2016 (Thursday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Calibrated Submanifolds in Bundle Manifolds of Special Homolomy
Chung-Jun Tsai (National Taiwan University)

In manifolds of special holonomy, it is interesting to study calibrated submanifolds, which are volume minimizer in their homology classes. We study the calibrated submanifolds in several model spaces of manifolds of special holonomy. These model spaces are all total spaces of some vector bundles, and the zero section is a calibrated submanifold. We show that the zero section is dynamically stable under the mean curvature flow. This is a joint work with Mu-Tao Wang.



 

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