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- W2912884163 abstract "We study the second fundamental form of semi-isometric CR immersions from strictly pseudoconvex CR manifolds into Kahler manifolds. As an application, we give a precise condition for the CR umbilicality of real hypersurfaces, extending an well-known theorem by Webster on the nonexistence of CR umbilical points on generic real ellipsoids. As other applications, we extend the linearity theorem of Ji-Yuan for CR immersions into spheres with vanishing second fundamental form to the important case of three-dimensional manifolds, and prove the ``first gap'' theorem in the spirit of Webster, Faran, Cima-Suffridge, and Huang for semi-isometric CR immersions into a complex euclidean space of ``low'' codimension. Our new approach to the linearity theorem is based on the study of the first positive eigenvalue of the Kohn Laplacian." @default.
- W2912884163 created "2019-02-21" @default.
- W2912884163 creator A5084738609 @default.
- W2912884163 date "2019-01-22" @default.
- W2912884163 modified "2023-09-27" @default.
- W2912884163 title "Semi-isometric CR immersions of CR manifolds into Kahler manifolds and applications" @default.
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