On gap rigidity problems for compact Hermitian symmetric spaces

2020/12/16 by Cong Ding, Ding, Cong
#Geometry and complex manifolds #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.1016/j.difgeo.2023.102015

Abstract

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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