Differential geometry of submanifolds of projective space

Details Differential geometry of submanifolds of projective space Differential geometry of submanifolds of projective space

2006-09-18

arxiv.org/abs/math/0609507v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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.

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