Contact structures, CR Yamabe invariant, and connected sum
Differential Geometry
2019-11-11 v2
Abstract
We propose a global invariant for contact manifolds which admit a strictly pseudoconvex CR structure, analogous to the Yamabe invariant . We prove that this invariant is non-decreasing under handle attaching and under connected sum. We then give a lower bound on in a particular case.
Keywords
Cite
@article{arxiv.1812.01506,
title = {Contact structures, CR Yamabe invariant, and connected sum},
author = {Gautier Dietrich},
journal= {arXiv preprint arXiv:1812.01506},
year = {2019}
}