Hyperbolic Manifolds And Holomorphic Mappings
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Hyperbolic Manifolds And Holomorphic Mappings
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Author : Shoshichi Kobayashi
language : en
Publisher: World Scientific
Release Date : 2005
Hyperbolic Manifolds And Holomorphic Mappings written by Shoshichi Kobayashi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
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.
Hyperbolic Manifolds And Holomorphic Mappings
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Author : Shoshichi Kobayashi
language : en
Publisher:
Release Date : 1970
Hyperbolic Manifolds And Holomorphic Mappings written by Shoshichi Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
Hyperbolic Manifolds And Holomorphic Mappings
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Author : Shōshichi Kobayashi
language : en
Publisher:
Release Date : 1987
Hyperbolic Manifolds And Holomorphic Mappings written by Shōshichi Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Complex manifolds categories.
Hyperbolic Manifolds And Holomorphic Mappings
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Author : Shoshichi Kobayashi
language : en
Publisher:
Release Date : 2005
Hyperbolic Manifolds And Holomorphic Mappings written by Shoshichi Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Intrinsic Measures On Complex Manifolds And Holomorphic Mappings
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Author : Donald A. Eisenman
language : en
Publisher: American Mathematical Soc.
Release Date : 1970
Intrinsic Measures On Complex Manifolds And Holomorphic Mappings written by Donald A. Eisenman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Analytic functions categories.
Lectures On The Automorphism Groups Of Kobayashi Hyperbolic Manifolds
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Author : Alexander Isaev
language : en
Publisher: Springer
Release Date : 2007-03-11
Lectures On The Automorphism Groups Of Kobayashi Hyperbolic Manifolds written by Alexander Isaev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-11 with Mathematics categories.
In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups that were extensively studied in the 1950s-70s.
Hyperbolic Complex Spaces
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Author : Shoshichi Kobayashi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Hyperbolic Complex Spaces written by Shoshichi Kobayashi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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.
Stein Manifolds And Holomorphic Mappings
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Author : Franc Forstnerič
language : en
Publisher: Springer
Release Date : 2017-09-05
Stein Manifolds And Holomorphic Mappings written by Franc Forstnerič and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Mathematics categories.
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.
Foundations Of Hyperbolic Manifolds
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Author : John Ratcliffe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Foundations Of Hyperbolic Manifolds written by John Ratcliffe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.
Hyperbolic Manifolds And Discrete Groups
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Author : Michael Kapovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-04
Hyperbolic Manifolds And Discrete Groups written by Michael Kapovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-04 with Mathematics categories.
Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.