Connected sum of spherical CR manifolds with positive CR Yamabe constant

Jih-Hsin Cheng; Hung-Lin Chiu

paper

Connected sum of spherical CR manifolds with positive CR Yamabe constant

arXiv:1805.08485

Abstract

Suppose $M_{1}$ and $M_{2}$ are two closed (compact with no boundary) spherical 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 spherical CR structure with positive CR Yamabe constant.

comments in the introduction and some references added

References in corpus (1)

On Conformal Qc Geometry, Spherical Qc Manifolds and Convex Cocompact Subgroups of $Sp (n + 1, 1)$