论文标题

关于紧凑型隐居对称空间的间隙刚度问题

On gap rigidity problems for compact Hermitian symmetric spaces

论文作者

Ding, Cong

论文摘要

我们证明了在不可约合的紧凑型赫尔米利亚对称空间中的对角线曲线的间隙定理,这是与MOK在非合理情况下获得的定理的双重类比。在证据的激励下,我们为更高维度的次符号提供了较弱的间隙刚度问题的定理。

We prove a gap rigidity theorem for diagonal curves in irreducible compact Hermitian symmetric spaces of tube type, which is a dual analogy to a theorem obtained by Mok in noncompact case. Motivated by the proof we give a theorem on weaker gap rigidity problems for higher dimensional submanifolds.

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