Flatness of CR Submanifolds in a Sphere

Details Flatness of CR Submanifolds in a Sphere Flatness of CR Submanifolds in a Sphere

2009-11-02

arxiv.org/abs/0911.0340v1

Mathematics

Complex Variables

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

Scientific paper

Let $M$ 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 $M$
vanishes, we show that $M$ is a totally geodesic submanifold.

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