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February 2008 Pseudo-Einstein CR-structures on real hypersurfaces in a complex space form
Jong Taek CHO
Hokkaido Math. J. 37(1): 1-17 (February 2008). DOI: 10.14492/hokmj/1253539581

Abstract

We introduce the pseudo-Einstein structure on real hypersurfaces in a K\"ahlerian manifold, namely, the Ricci curvature tensor for the generalized Tanaka-Webster connection (restricted) on the Levi subbundle $D$ is proportional to the Levi form. In particular, we give a classification of pseudo-Einstein Hopf-hypersurfaces in a non-flat complex space form.

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Jong Taek CHO. "Pseudo-Einstein CR-structures on real hypersurfaces in a complex space form." Hokkaido Math. J. 37 (1) 1 - 17, February 2008. https://doi.org/10.14492/hokmj/1253539581

Information

Published: February 2008
First available in Project Euclid: 21 September 2009

zbMATH: 1145.53013
MathSciNet: MR2395075
Digital Object Identifier: 10.14492/hokmj/1253539581

Subjects:
Primary: 53C15
Secondary: 53B20, 53C25

Rights: Copyright © 2008 Hokkaido University, Department of Mathematics

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Vol.37 • No. 1 • February 2008
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