Hokkaido Mathematical Journal

Pseudo-Einstein CR-structures on real hypersurfaces in a complex space form

Jong Taek CHO

Full-text: Open access

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.

Article information

Source
Hokkaido Math. J., Volume 37, Number 1 (2008), 1-17.

Dates
First available in Project Euclid: 21 September 2009

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1253539581

Digital Object Identifier
doi:10.14492/hokmj/1253539581

Mathematical Reviews number (MathSciNet)
MR2395075

Zentralblatt MATH identifier
1145.53013

Subjects
Primary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
Secondary: 53B20: Local Riemannian geometry 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

Keywords
real hypersurfaces complex space forms the g.-Tanaka-Webster connection, pseudo-Einstein structures g.-Tanaka-Webster flat structures

Citation

CHO, Jong Taek. Pseudo-Einstein CR-structures on real hypersurfaces in a complex space form. Hokkaido Math. J. 37 (2008), no. 1, 1--17. doi:10.14492/hokmj/1253539581. https://projecteuclid.org/euclid.hokmj/1253539581


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