On Three-dimensional CR Yamabe Solitons
Differential Geometry
2015-10-16 v3
Abstract
In this paper, we investigate the geometry and classification of three-dimensional CR Yamabe solitons. In the compact case, we show that any 3-dimensional CR Yamabe soliton must have constant Tanaka-Webster scalar curvature; we also obtain a classification under the assumption that their potential functions are in the kernel of the CR Paneitz operator. In the complete case, we obtain a structure theorem on the diffeomorphism types of complete 3-dimensional pseudo-gradient CR Yamabe solitons (shrinking, or steady, or expanding) of vanishing torsion.
Keywords
Cite
@article{arxiv.1408.2922,
title = {On Three-dimensional CR Yamabe Solitons},
author = {Huai-Dong Cao and Shu-Cheng Chang and Chih-Wei Chen},
journal= {arXiv preprint arXiv:1408.2922},
year = {2015}
}
Comments
Revised version;Theorem 1.3 improved; Section 5 rewritten; Appendix added