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Flatness of CR Submanifolds in a Sphere

Complex Variables 2015-05-14 v1 Differential Geometry

Abstract

Let MM be the image of a smooth CR embedding of a strictly pseudoconvex CR real hypersurface into a sphere. If the CR second fundamental form of MM vanishes, we show that MM is a totally geodesic submanifold.

Keywords

Cite

@article{arxiv.0911.0340,
  title  = {Flatness of CR Submanifolds in a Sphere},
  author = {Shanyu Ji and Yuan Yuan},
  journal= {arXiv preprint arXiv:0911.0340},
  year   = {2015}
}

Comments

Dedicated to Professor Yang, Lo on the Occasion of his 70th Birthday