Connected Sum of CR Manifolds with Positive CR Yamabe Constant

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.