Estimates for the squeezing function near strictly pseudoconvex boundary points with applications. (English) Zbl 1436.32047
Summary: An extension of the estimates for the squeezing function of strictly pseudoconvex domains obtained recently by J. E. Fornæss and E. F. Wold [in: Complex analysis and geometry. KSCV 10. Proceedings of the 10th symposium, Gyeongju, Korea, August 2014. Tokyo: Springer. 135–147 (2015; Zbl 1330.32009)] is applied to derive sharp boundary behaviours of invariant metrics and Bergman curvatures.
MSC:
| 32F45 | Invariant metrics and pseudodistances in several complex variables |
| 53C23 | Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces |
Keywords:
squeezing function; strictly pseudoconvex boundary point; Bergman; Carathéodory and Kobayashi metrics; Bergman curvaturesCitations:
Zbl 1330.32009References:
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