CR and Holomorphic Embeddings and Pseudo-conformally Flat Metrics

preprint2012arXivOpen access

Abstract

We study the non-embddability property for a class of real hypersurfaces, called real hypersurfaces of involution type, into the sphere in the low codimensional case, by making use of property of a naturally related Gauss curvature. We also study rigidity problems for conformal maps between a class of Kähler manifolds with pseud-conformally flat metrics.

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