paper

On gap rigidity problems for compact Hermitian symmetric spaces

arXiv:2012.08926 · 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.

29 pages