Injective Hyperbolicity for quotients of balls and polydisks
John Erik Fornaess, Maria Trybula, Erlend Fornaess Wold
TL;DR
This paper investigates the properties of the injective Kobayashi metric on complex surfaces, focusing on quotients of balls and polydisks, to understand their hyperbolic geometry.
Contribution
It introduces the concept of injective hyperbolicity for quotients of complex balls and polydisks, providing new insights into their geometric structure.
Findings
Characterization of injective hyperbolicity in these quotients
Conditions under which these surfaces exhibit hyperbolic behavior
Connections between injective Kobayashi metric and complex surface geometry
Abstract
In this article we study the injective Kobayashi metric on complex surfaces.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometric Analysis and Curvature Flows · Geometry and complex manifolds