Overview
- Offers a new point of view on geometric complex analysis
- Collects together notes in several very active areas of research
- Includes expository presentations and numerous applications
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2195)
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Table of contents (6 chapters)
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Metrical and Dynamical Aspects in Complex Analysis
Editors: Léa Blanc-Centi
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-65837-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-65836-0Published: 04 November 2017
eBook ISBN: 978-3-319-65837-7Published: 03 November 2017
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 173
Topics: Several Complex Variables and Analytic Spaces, Hyperbolic Geometry, Dynamical Systems and Ergodic Theory