Metrical and Dynamical Aspects in Complex Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Geometry
Cover of the book Metrical and Dynamical Aspects in Complex Analysis by , Springer International Publishing
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Author: ISBN: 9783319658377
Publisher: Springer International Publishing Publication: November 3, 2017
Imprint: Springer Language: English
Author:
ISBN: 9783319658377
Publisher: Springer International Publishing
Publication: November 3, 2017
Imprint: Springer
Language: English

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.

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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.

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