Abstract
Suppose \(M_{1}\) and \(M_{2}\) are 3-dimensional closed (compact without boundary) CR manifolds with positive CR Yamabe constant. In this note, we show that the connected sum of \(M_{1}\) and \(M_{2}\) also admits a CR structure with positive CR Yamabe constant.
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Acknowledgements
J.-H. Cheng (resp. H.-L. Chiu) would like to thank the Ministry of Science and Technology of Taiwan, R.O.C. for the support of the project: MOST 107-2115-M-001-011- (resp. MOST 106-2115-M-007-017-MY3). J.-H. Cheng would also like to thank the National Center for Theoretical Sciences for the constant support.
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Cheng, JH., Chiu, HL. & Ho, P.T. Connected Sum of CR Manifolds with Positive CR Yamabe Constant. J Geom Anal 31, 298–311 (2021). https://doi.org/10.1007/s12220-019-00261-9
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DOI: https://doi.org/10.1007/s12220-019-00261-9