2014/08/13 by Huai-Dong Cao, Cao, Huai-Dong, Shu-Cheng Chang +4
Mathematics · Physics and Astronomy · #32V05 (Primary) #53C12 (Secondary) #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:32V05 #msc:53C12
paper · pdf · doi:10.48550/arxiv.1408.2922
Revised version;Theorem 1.3 improved; Section 5 rewritten; Appendix added
openalex publication_date 2014/08/13 · arxiv created 2015/10/15 · arxiv updated 2015/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.