Tsukuba Journal of Mathematics

CR Einstein-Weyl structures

Takaaki Ohkubo and Kunio Sakamoto

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Abstract

An Einstein-Weyl structure is a natural generalization of an Einstein structure within the framework of conformal geometry. We are interested in considering an Einstein-Weyl structure on a CR manifold. A CR manifold has a conformal structure only on its hyperdistribution. In this paper, on a CR manifold we naturally define an Einstein-Weyl structure closely related to the conformal structure on the hyperdistribution.

Article information

Source
Tsukuba J. Math., Volume 29, Number 2 (2005), 309-361.

Dates
First available in Project Euclid: 30 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1496164961

Digital Object Identifier
doi:10.21099/tkbjm/1496164961

Mathematical Reviews number (MathSciNet)
MR2177017

Zentralblatt MATH identifier
1104.53043

Citation

Ohkubo, Takaaki; Sakamoto, Kunio. CR Einstein-Weyl structures. Tsukuba J. Math. 29 (2005), no. 2, 309--361. doi:10.21099/tkbjm/1496164961. https://projecteuclid.org/euclid.tkbjm/1496164961


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