Metrical and Dynamical Aspects in Complex Analysis

• Corporate Author: SpringerLink (Online service)
• Other Authors: Blanc-Centi, Léa (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2195
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Functions of complex variables.; Hyperbolic geometry.; Several Complex Variables and Analytic Spaces.; Hyperbolic Geometry.; Dynamical Systems and Ergodic Theory.

The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sens...

Table of Contents:

• 1. Invariant Distances
• 2. Dynamics in Several Complex Variables
• 3. Gromov Hyperbolic Spaces and Applications to Complex Analysis
• 4. Gromov Hyperbolicity of Bounded Convex Domains
• 5. Quasi-conformal Mappings
• 6. Carleson Measures and Toeplitz Operators. References.