CR $Q$-curvature and CR pluriharmonic functions
Differential Geometry
2022-10-13 v2 Complex Variables
Abstract
In this paper, we show that the CR -curvature is orthogonal to the space of CR pluriharmonic functions on any closed strictly pseudoconvex CR manifold of dimension at least five. To this end, we obtain a cohomological expression of the integral of the product of the CR -curvature and a CR pluriharmonic function.
Keywords
Cite
@article{arxiv.2109.09962,
title = {CR $Q$-curvature and CR pluriharmonic functions},
author = {Yuya Takeuchi},
journal= {arXiv preprint arXiv:2109.09962},
year = {2022}
}
Comments
10 pages, final version