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On a CR Transversality Problem Through the Approach of the Chern–Moser Theory

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Abstract

In this paper, we give a geometric condition for a CR map, which sends a CR non-umbilical Levi non-degenerate hypersurface in ℂn+1 into the hyperquadric in ℂn+2 with the same signature, to be CR transversal.

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Acknowledgement

X. Huang was supported in part by NSF-1101481.

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Correspondence to Yuan Zhang.

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Communicated by Alexander Isaev.

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Huang, X., Zhang, Y. On a CR Transversality Problem Through the Approach of the Chern–Moser Theory. J Geom Anal 23, 1780–1793 (2013). https://doi.org/10.1007/s12220-012-9305-5

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  • DOI: https://doi.org/10.1007/s12220-012-9305-5

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