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Titlebook: Metrical and Dynamical Aspects in Complex Analysis; Léa Blanc-Centi Book 2017 Springer International Publishing AG 2017 Complex Dynamics.C

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发表于 2025-3-21 16:45:10 | 显示全部楼层 |阅读模式
书目名称Metrical and Dynamical Aspects in Complex Analysis
编辑Léa Blanc-Centi
视频video
概述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
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Metrical and Dynamical Aspects in Complex Analysis;  Léa Blanc-Centi Book 2017 Springer International Publishing AG 2017 Complex Dynamics.C
描述.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..
出版日期Book 2017
关键词Complex Dynamics; Convex Domains; Gromov Hyperbolicity; Kobayashi Metric; Quasi-conformal Mappings; 32F45
版次1
doihttps://doi.org/10.1007/978-3-319-65837-7
isbn_softcover978-3-319-65836-0
isbn_ebook978-3-319-65837-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG 2017
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Gromov Hyperbolic Spaces and Applications to Complex Analysis, give a short presentation of the theory of Gromov hyperbolic spaces and their boundaries. Then, we will see that the Heisenberg group can be seen as the boundary at infinity of the complex hyperbolic space. This fact will be used in Chap. 2 to give an idea of the proof of the celebrated Mostow rigi
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Book 2017he 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
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https://doi.org/10.1007/978-3-319-65837-7Complex Dynamics; Convex Domains; Gromov Hyperbolicity; Kobayashi Metric; Quasi-conformal Mappings; 32F45
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