Kyoto Journal of Mathematics

The CR almost Schur lemma and Lee conjecture

Jui-Tang Chen, Takanari Saotome, and Chin-Tung Wu

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In this paper, we first derive the CR analogue of the almost Schur lemma on a pseudo-Hermitian (2n+1)-manifold (M,J,θ) for n2. Second, we study a sufficient condition for the existence of a pseudo-Einstein contact form when the CR structure of M has vanishing first Chern class which is related to the J. M. Lee conjecture.

Article information

Kyoto J. Math., Volume 52, Number 1 (2012), 89-98.

First available in Project Euclid: 19 February 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 32V05: CR structures, CR operators, and generalizations 32V20: Analysis on CR manifolds
Secondary: 53C56: Other complex differential geometry [See also 32Cxx]


Chen, Jui-Tang; Saotome, Takanari; Wu, Chin-Tung. The CR almost Schur lemma and Lee conjecture. Kyoto J. Math. 52 (2012), no. 1, 89--98. doi:10.1215/21562261-1503763.

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