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Seminar
FIELD Math: CMC
DATE August 14 (Mon), 2017
TIME 16:00-17:30
PLACE 8309
SPEAKER Sui-Chung
HOST Hong, Jaehyun
INSTITUTE East China Normal University
TITLE Splitting holomorphic tangent sequence in locally Hermitian symmetric spaces
ABSTRACT A complex submanifold is said to have splitting holomorphic tangent sequence if the pullback of the ambient holomorphic tangent bundle splits holomorphically as a direct sum of its own tangent bundle and normal bundle. This is a complex analytic condition on the submanifold. We are going to look at its possible geometric implications when the ambient space is a locally Hermitian symmetric space. It turns out that one can obtain total geodesy under certain dimension restrictions. This is a joint work with N. Mok.
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