The second CR Yamabe invariant

Pak Tung Ho

Vol. 280 (2016), No. 2, 371–400

DOI: 10.2140/pjm.2016.280.371

Abstract

Let $\left(M,\theta \right)$ be a compact strictly pseudoconvex CR manifold of real dimension $2n+1$ with a contact form $\theta$. Motivated by the work of Ammann and Humbert, we define the second CR Yamabe invariant, which is a natural generalization of the CR Yamabe invariant, and study its properties in this paper.

Keywords

CR manifold, CR Yamabe problem, CR Yamabe invariant

Mathematical Subject Classification 2010

Primary: 32V20, 32V05

Secondary: 53C17

Milestones

Received: 3 June 2014

Revised: 18 May 2015

Accepted: 10 June 2015

Published: 28 January 2016