Hyperbolic Manifolds And Holomorphic Mappings PDF Download
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Author | : Shoshichi Kobayashi |
Publisher | : World Scientific |
Total Pages | : 161 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9812564969 |
Download Hyperbolic Manifolds and Holomorphic Mappings Book in PDF, ePub and Kindle
The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections ?invariant metrics and pseudo-distances? and ?hyperbolic complex manifolds? within the section ?holomorphic mappings?. The invariant distance introduced in the first edition is now called the ?Kobayashi distance?, and the hyperbolicity in the sense of this book is called the ?Kobayashi hyperbolicity? to distinguish it from other hyperbolicities. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed. The new edition adds comments on the most recent developments in the field.
Author | : Shoshichi Kobayashi |
Publisher | : World Scientific Publishing Company |
Total Pages | : 161 |
Release | : 2005-11-02 |
Genre | : Mathematics |
ISBN | : 9813101938 |
Download Hyperbolic Manifolds And Holomorphic Mappings: An Introduction (Second Edition) Book in PDF, ePub and Kindle
The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections “invariant metrics and pseudo-distances” and “hyperbolic complex manifolds” within the section “holomorphic mappings”. The invariant distance introduced in the first edition is now called the “Kobayashi distance”, and the hyperbolicity in the sense of this book is called the “Kobayashi hyperbolicity” to distinguish it from other hyperbolicities. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed. The new edition adds comments on the most recent developments in the field.
Author | : Shoshichi Kobayashi |
Publisher | : |
Total Pages | : 192 |
Release | : 1970 |
Genre | : Mathematics |
ISBN | : |
Download Hyperbolic Manifolds and Holomorphic Mappings Book in PDF, ePub and Kindle
Author | : Shōshichi Kobayashi |
Publisher | : |
Total Pages | : 148 |
Release | : 1987 |
Genre | : Complex manifolds |
ISBN | : |
Download Hyperbolic Manifolds and Holomorphic Mappings Book in PDF, ePub and Kindle
Author | : Shoshichi Kobayashi |
Publisher | : |
Total Pages | : 148 |
Release | : 1970 |
Genre | : |
ISBN | : |
Download Hyperbolic manifolds and holomorphic mappings. Kobayashi Book in PDF, ePub and Kindle
Author | : Donald A. Eisenman |
Publisher | : American Mathematical Soc. |
Total Pages | : 84 |
Release | : 1970 |
Genre | : Analytic functions |
ISBN | : 0821812963 |
Download Intrinsic Measures on Complex Manifolds and Holomorphic Mappings Book in PDF, ePub and Kindle
Author | : H. Shiga |
Publisher | : |
Total Pages | : 21 |
Release | : 1999 |
Genre | : |
ISBN | : |
Download On Rigidity and Finiteness Theorems for Holomorphic Mappings of Complex Hyperbolic Manifolds Book in PDF, ePub and Kindle
Author | : Shoshichi Kobayashi |
Publisher | : Springer Science & Business Media |
Total Pages | : 480 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662035820 |
Download Hyperbolic Complex Spaces Book in PDF, ePub and Kindle
In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.
Author | : Franc Forstnerič |
Publisher | : Springer |
Total Pages | : 569 |
Release | : 2017-09-05 |
Genre | : Mathematics |
ISBN | : 3319610589 |
Download Stein Manifolds and Holomorphic Mappings Book in PDF, ePub and Kindle
This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds. Oka theory is the field of complex analysis dealing with global problems on Stein manifolds which admit analytic solutions in the absence of topological obstructions. The exposition in the present volume focuses on the notion of an Oka manifold introduced by the author in 2009. It explores connections with elliptic complex geometry initiated by Gromov in 1989, with the Andersén-Lempert theory of holomorphic automorphisms of complex Euclidean spaces and of Stein manifolds with the density property, and with topological methods such as homotopy theory and the Seiberg-Witten theory. Researchers and graduate students interested in the homotopy principle in complex analysis will find this book particularly useful. It is currently the only work that offers a comprehensive introduction to both the Oka theory and the theory of holomorphic automorphisms of complex Euclidean spaces and of other complex manifolds with large automorphism groups.
Author | : Franc Forstnerič |
Publisher | : Springer Science & Business Media |
Total Pages | : 501 |
Release | : 2011-08-27 |
Genre | : Mathematics |
ISBN | : 3642222501 |
Download Stein Manifolds and Holomorphic Mappings Book in PDF, ePub and Kindle
The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.