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On gap rigidity problems for compact Hermitian symmetric spaces

Differential Geometry 2021-12-09 v2

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.

Keywords

Cite

@article{arxiv.2012.08926,
  title  = {On gap rigidity problems for compact Hermitian symmetric spaces},
  author = {Cong Ding},
  journal= {arXiv preprint arXiv:2012.08926},
  year   = {2021}
}

Comments

29 pages

R2 v1 2026-06-23T21:00:54.942Z