The Kobayashi metric in the normal direction and the mapping problem

2008/10/06 by Siqi Fu, Fu, Siqi
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.0810.1063

Abstract

Estimates of the Kobayashi metric in the normal direction are used to study the mapping problem in several complex variables.

Related

• The Caratheodory and Kobayashi metrics and applications in complex analysis
• Comparison of Invariant Metrics
• The Kobayashi metric for non-convex complex ellipsoids
• The Carathéodory and Kobayashi/Royden Metrics by Way of Dual Extremal Problems
• On the Kobayashi metrics on Riemannian manifolds