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arXiv · 0911.0340

Flatness of CR Submanifolds in a Sphere

Shanyu Ji·Yuan Yuan
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Abstract

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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Shanyu Ji, Yuan Yuan. 2009-11-02. Flatness of CR Submanifolds in a Sphere. https://doi.org/10.1007/s11425-010-0052-4

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