2018/01/23 by Shu-Cheng Chang, Chang, Shu-Cheng, Yingbo Han +3 · 5 citations
Mathematics · #32V05 #32V20 #53C56 #Complex dimension #Complex manifold #Conjecture #Curvature #Differential Geometry (math.DG) #Dimension (graph theory) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holomorphic and Operator Theory #Holomorphic function #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Scalar curvature #Sectional curvature #Torsion (gastropod) #math.DG #msc:32V05 #msc:32V20 #msc:53C56
paper · pdf · doi:10.48550/arxiv.1801.07428
published in arXiv (Cornell University) (Cornell University) · update the first equality in formula (5.12) and some references
openalex publication_date 2018/01/23 · arxiv created 2018/04/17 · arxiv updated 2018/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This is the very first paper to focus on the CR analogue of Yau's uniformization conjecture in a complete noncompact pseudohermitian (2n+1)-manifold of vanishing torsion (i.e. Sasakian manifold) which is an odd dimensional counterpart of Kähler geometry. In this paper, we mainly deal with the problem of the sharp dimension estimate of CR holomorphic functions in a complete noncompact pseudohermitian manifold of vanishing torsion with nonnegative pseudohermitian bisectional curvature.