2013/04/07 by Tanran Zhang, Zhang, Tanran
Mathematics · Medicine · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Pelvic and Acetabular Injuries #math.CV
paper · pdf · doi:10.48550/arxiv.1304.2004
arxiv created 2013/04/07 · openalex publication_date 2013/04/07 · arxiv updated 2013/04/09 · openalex created_date 2022/03/05 · openalex updated_date 2026/07/28
The asymptotic behavior of conformal metrics with negative curvatures near an isolated singularity for at most second order derivatives was described by Kraus and Roth in one of their papers in 2008. Our work improves one estimate of theirs and shows the estimate for higher order derivatives near an isolated singularity by means of potential theory. We also give some limits of Minda-type for SK-metrics near the origin. Combining these limits with the Ahlfors' lemma, we provide some observations SK-metrics.