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A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form

Differential Geometry 2013-04-19 v2

Abstract

We prove an extension of a theorem of A.Ros on a characterization of seven compact Kaehler submanifolds by holomorphic pinching to certain submanifolds of the complex Grassmannian manifolds.

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Cite

@article{arxiv.1304.3993,
  title  = {A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form},
  author = {Isami Koga and Yasuyuki Nagatomo},
  journal= {arXiv preprint arXiv:1304.3993},
  year   = {2013}
}

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9 pages