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| Author | : R. D. Canary |
| Publisher | : Cambridge University Press |
| Total Pages | : 356 |
| Release | : 2006-04-13 |
| Genre | : Mathematics |
| ISBN | : 9781139447195 |
Download Fundamentals of Hyperbolic Manifolds Book in PDF, ePub and Kindle
Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an up-to-date bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds.
| Author | : John Ratcliffe |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 794 |
| Release | : 2006-08-23 |
| Genre | : Mathematics |
| ISBN | : 0387331972 |
Download Foundations of Hyperbolic Manifolds Book in PDF, ePub and Kindle
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.
| Author | : John G. Ratcliffe |
| Publisher | : Springer Nature |
| Total Pages | : 800 |
| Release | : 2019-10-23 |
| Genre | : Mathematics |
| ISBN | : 3030315975 |
Download Foundations of Hyperbolic Manifolds Book in PDF, ePub and Kindle
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.
| Author | : Richard Douglas Canary |
| Publisher | : |
| Total Pages | : 348 |
| Release | : 2014-05-14 |
| Genre | : Geometry, Hyperbolic |
| ISBN | : 9781139126939 |
Download Fundamentals of Hyperbolic Geometry Book in PDF, ePub and Kindle
Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work.
| Author | : Albert Marden |
| Publisher | : Cambridge University Press |
| Total Pages | : 535 |
| Release | : 2016-02 |
| Genre | : Mathematics |
| ISBN | : 1107116740 |
Download Hyperbolic Manifolds Book in PDF, ePub and Kindle
This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.
| Author | : Katsuhiko Matsuzaki |
| Publisher | : Clarendon Press |
| Total Pages | : 265 |
| Release | : 1998-04-30 |
| Genre | : Mathematics |
| ISBN | : 0191591203 |
Download Hyperbolic Manifolds and Kleinian Groups Book in PDF, ePub and Kindle
A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis. After 1960, Ahlfors and Bers were the leading researchers of Kleinian groups and helped it to become an active area of complex analysis as a branch of Teichmüller theory. Later, Thurston brought a revolution to this area with his profound investigation of hyperbolic manifolds, and at the same time complex dynamical approach was strongly developed by Sullivan. This book provides fundamental results and important theorems which are needed for access to the frontiers of the theory from a modern viewpoint.
| Author | : Michael Kapovich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 500 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 9780817639044 |
Download Hyperbolic Manifolds and Discrete Groups Book in PDF, ePub and Kindle
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.
| 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 | : John Ratcliffe |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2008-11-01 |
| Genre | : Mathematics |
| ISBN | : 9780387512969 |
Download Foundations of Hyperbolic Manifolds Book in PDF, ePub and Kindle
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.
| 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.
