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Differential geometry of submanifolds of projective space

Differential Geometry 2007-05-23 v1 Algebraic Geometry

Abstract

These are lecture notes on the rigidity of submanifolds of projective space "resembling" compact Hermitian symmetric spaces in their homogeneous embeddings. Recent results are surveyed, along with their classical predecessors. The notes include an introduction to moving frames in projective geometry, an exposition of the Hwang-Yamaguchi ridgidity theorem and a new variant of the Hwang-Yamaguchi theorem.

Cite

@article{arxiv.math/0609507,
  title  = {Differential geometry of submanifolds of projective space},
  author = {J. M. Landsberg},
  journal= {arXiv preprint arXiv:math/0609507},
  year   = {2007}
}

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16 pages