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CR submanifolds with vanishing second fundamental forms

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Abstract

In this paper, we show that all CR immersions from smooth Levi-nondegenerate hypersurfaces into hyperquadrics with vanishing CR second fundamental forms are necessarily linear fractional.

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Acknowledgments

Both authors would like to thank Professor X. Huang and S. Ji for helpful discussions.

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Correspondence to Yuan Zhang.

Additional information

Yuan Yuan: Supported in part by National Science Foundation Grant DMS-1412384. Yuan Zhang: Supported in part by National Science Foundation Grant DMS-1501024.

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Yuan, Y., Zhang, Y. CR submanifolds with vanishing second fundamental forms. Geom Dedicata 183, 169–180 (2016). https://doi.org/10.1007/s10711-016-0152-6

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  • DOI: https://doi.org/10.1007/s10711-016-0152-6

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