paper

Non-embeddable torus and CR Paneitz operator

arXiv:2606.24508

Abstract

The CR Paneitz operator is closely related to several important problems in CR geometry. In this paper, we study the CR Paneitz operator on non-embeddable three-dimensional tori. Under mild assumptions, we show that it possesses infinitely many negative eigenvalues. We also provide concrete examples satisfying the assumptions.

24 pages

Non-embeddable torus and CR Paneitz operator · wovepaper