Metrical and dynamical aspects in complex analysis / Léa Blanc-Centi, editor.

Format:

Book

Contributor:

Blanc-Centi, Léa, editor.

Series:

Lecture notes in mathematics (Springer-Verlag) ; 2195.

Lecture notes in mathematics (Springer-Verlag). CEMPI subseries.

Lecture notes in mathematics, 0075-8434 ; 2195. CEMPI subseries

Language:

English

Subjects (All):

Complex manifolds.

Mathematical analysis.

Physical Description:

xiv, 171 pages ; 24 cm.

Place of Publication:

Cham, Switzerland : Springer, [2017]

Summary:

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 sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.

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.

Notes:

Includes bibliographical references (page 171).

ISBN:

9783319658360

3319658360

OCLC:

994639717