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2019 On the curvature of the Fefferman metric of contact Riemannian manifolds
Masayoshi Nagase
Tohoku Math. J. (2) 71(3): 425-436 (2019). DOI: 10.2748/tmj/1568772179

Abstract

It is known that a contact Riemannian manifold carries a generalized Fefferman metric on a circle bundle over the manifold. We compute the curvature of the metric explicitly in terms of a modified Tanno connection on the underlying manifold. In particular, we show that the scalar curvature descends to the pseudohermitian scalar curvature multiplied by a certain constant. This is an answer to a problem considered by Blair-Dragomir.

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Masayoshi Nagase. "On the curvature of the Fefferman metric of contact Riemannian manifolds." Tohoku Math. J. (2) 71 (3) 425 - 436, 2019. https://doi.org/10.2748/tmj/1568772179

Information

Published: 2019
First available in Project Euclid: 18 September 2019

zbMATH: 07155351
MathSciNet: MR4012356
Digital Object Identifier: 10.2748/tmj/1568772179

Subjects:
Primary: 53B30
Secondary: 53D15

Rights: Copyright © 2019 Tohoku University

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Vol.71 • No. 3 • 2019
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