Connected sum of CR manifolds with positive CR Yamabe constant

Jih-Hsin Cheng; Hung-Lin Chiu; Pak Tung Ho

doi:10.1007/s12220-019-00261-9 10.1007/s12220-019-00261-9
  10.1007/s12220-019-00261-9

Connected sum of CR manifolds with positive CR Yamabe constant

Differential Geometry 2019-09-02 v2

Authors: Jih-Hsin Cheng , Hung-Lin Chiu , Pak Tung Ho

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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.

Keywords

cr manifolds cr yamabe constant connected sum 3-dimensional closed manifolds cr structure

Cite

@article{arxiv.1901.01357,
  title  = {Connected sum of CR manifolds with positive CR Yamabe constant},
  author = {Jih-Hsin Cheng and Hung-Lin Chiu and Pak Tung Ho},
  journal= {arXiv preprint arXiv:1901.01357},
  year   = {2019}
}

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