CR Yamabe constant and inequivalent CR structures
Differential Geometry
2025-04-09 v2 Complex Variables
Abstract
The CR Yamabe constant is an invariant of a compact strongly pseudoconvex CR manifold and plays an important role in CR geometry. We show some integral formulae of the CR Yamabe constant. We also construct an infinite-dimensional family of strongly pseudoconvex CR structures with varying CR Yamabe constants and a compact simply-connected manifold admitting two strongly pseudoconvex CR structures with different signs of the CR Yamabe constant.
Keywords
Cite
@article{arxiv.2210.16443,
title = {CR Yamabe constant and inequivalent CR structures},
author = {Chanyoung Sung and Yuya Takeuchi},
journal= {arXiv preprint arXiv:2210.16443},
year = {2025}
}