Corpus ID: 117078692

Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces

@article{Bryant2000RigidityAQ,
  title={Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces},
  author={R. Bryant},
  journal={arXiv: Differential Geometry},
  year={2000}
}
  • R. Bryant
  • Published 2000
  • Mathematics
  • arXiv: Differential Geometry
  • I use local differential geometric techniques to prove that the algebraic cycles in certain extremal homology classes in Hermitian symmetric spaces are either rigid (i.e., deformable only by ambient motions) or quasi-rigid (roughly speaking, foliated by rigid subvarieties in a nontrivial way). These rigidity results have a number of applications: First, they prove that many subvarieties in Grassmannians and other Hermitian symmetric spaces cannot be smoothed (i.e., are not homologous to a… CONTINUE READING
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