TY - JOUR
T1 - The CR almost schur lemma and lee conjecture
AU - Chen, Jui Tang
AU - Saotome, Takanari
AU - Wu, Chin Tung
PY - 2012/3
Y1 - 2012/3
N2 - In this paper, we first derive the CR analogue of the almost Schur lemma on a pseudo-Hermitian (2n+1)-manifold (M,J,) for n > 2. 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.
AB - In this paper, we first derive the CR analogue of the almost Schur lemma on a pseudo-Hermitian (2n+1)-manifold (M,J,) for n > 2. 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.
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U2 - 10.1215/21562261-1503763
DO - 10.1215/21562261-1503763
M3 - Article
AN - SCOPUS:84879770791
SN - 2156-2261
VL - 52
SP - 89
EP - 98
JO - Kyoto Journal of Mathematics
JF - Kyoto Journal of Mathematics
IS - 1
ER -