Kodai Mathematical Journal

CR Weyl geometry and connections of the canonical bundle

Takaaki Ohkubo

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Abstract

A nondegenerate CR manifold has a natural conformal class consisting of hermitian forms, which are called Levi forms, on the hyperdistribution. It is important to study the objects on CR manifolds which are independent of the choice of Levi forms. A CR Einstein-Weyl structure defined in [8] is one of such objects. Our purpose is to find nondegenerate CR manifolds with CR Einstein-Weyl structures.

In this paper, we shall obtain many examples of CR Einstein-Weyl manifolds. These examples are actually derived from the fact that CR Einstein-Weyl structures are closely concerned with connections of the canonical bundle of CR manifolds.

Article information

Source
Kodai Math. J., Volume 29, Number 1 (2006), 113-143.

Dates
First available in Project Euclid: 23 March 2006

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1143122390

Digital Object Identifier
doi:10.2996/kmj/1143122390

Mathematical Reviews number (MathSciNet)
MR2222170

Zentralblatt MATH identifier
1104.53042

Citation

Ohkubo, Takaaki. CR Weyl geometry and connections of the canonical bundle. Kodai Math. J. 29 (2006), no. 1, 113--143. doi:10.2996/kmj/1143122390. https://projecteuclid.org/euclid.kmj/1143122390


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