foundations of hyperbolic manifolds

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November 29th, 2020

This book is an exposition of the theoretical foundations of hyperbolic manifolds. The second edition is a thorough revision of the first edition that embodies hundreds of changes, corrections, and additions, including over sixty new lemmas, theorems, and corollaries. It is a both a textbook and a reference. The first part is concerned with hyperbolic … It is intended to be used both as a textbook and as a reference. The new main results are Schl\¬afli’s differential formula and the $n$-dimensional Gauss-Bonnet theorem. The exposition is at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. The first part is concerned with hyperbolic geometry and discrete groups. John G. Ratcliffe is Professor of Mathematics at Vanderbilt University. It is intended to be used both as a textbook and as a reference. enable JavaScript in your browser. © 2020 Springer Nature Switzerland AG. We have a dedicated site for United Kingdom. It is intended to be used both as a textbook and as a reference. Authors: (gross), © 2020 Springer Nature Switzerland AG. The main results are the 1106 (8), 2007. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic groups. After reading this book, the reader will have the necessary background to study the current research on hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Ratcliffe, John G. This book is an exposition of the theoretical foundations of hyperbolic manifolds. The first part is concerned with hyperbolic geometry and discrete groups. The main result is Poincare«s fundamental polyhedron theorem. It is intended to be used both as a textbook and as a reference. The main results are Mostow’s rigidity theorem and the determination of the global geometry of hyperbolic manifolds of finite volume. The exposition if at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. This heavily class-tested 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. Part of Springer Nature. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic groups. The first part is concerned with hyperbolic geometry and discrete groups. Not logged in Springer is part of, Please be advised Covid-19 shipping restrictions apply. It is a both a textbook and a reference. price for Spain This book is an exposition of the theoretical foundations of hyperbolic manifolds. Particular emphasis has been placed on readability and completeness of ar­ gument. It seems that you're in United Kingdom. Over 10 million scientific documents at your fingertips. book series Victor V. Pambuccian, Zentralblatt MATH, Vol. It is intended to be used both as a textbook and as a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. Please review prior to ordering, Expands on the second edition by including over 40 new lemmas, theorems, and corollaries, as well as a new section dedicated to arithmetic hyperbolic groups, Offers a highly readable and self-contained exposition of the theoretical foundations of hyperbolic manifolds, Provides readers with over 70 new exercises and features figures in color throughout, ebooks can be used on all reading devices, Institutional customers should get in touch with their account manager, Usually ready to be dispatched within 3 to 5 business days, if in stock, The final prices may differ from the prices shown due to specifics of VAT rules. The book is divided into three parts. This book is an exposition of the theoretical foundations of hyperbolic manifolds. The second part is devoted to the theory of hyperbolic manifolds. Foundations of Hyperbolic Manifolds John G. Ratcliffe. This book is an exposition of the theoretical foundations of hyperbolic manifolds. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic groups. (GTM, volume 149). Over 40 new lemmas, theorems, and corollaries feature, along with more than 70 additional exercises. JavaScript is currently disabled, this site works much better if you Foundations of hyperbolic manifolds by Ratcliffe, John G., 1948-Publication date 1994 Topics Geometry, Hyperbolic, Hyperbolic spaces Publisher New York : Springer-Verlag Collection inlibrary; printdisabled; trent_university; internetarchivebooks Digitizing sponsor Kahle/Austin Foundation Contributor Internet Archive Language English. The first part is concerned with hyperbolic … ...you'll find more products in the shopping cart. The treatment of the material is … The main results are the characterization of hyperbolic reflection groups and Euclidean crystallographic groups. It is intended to be used both as a textbook and as a reference. This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. Graduate Texts in Mathematics After reading this book, the reader will have the necessary background to study the current research on hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. His research interests range from low-dimensional topology and hyperbolic manifolds to cosmology. The book is divided into three parts. CYBER DEAL: 50% off all Springer eBooks | Get this offer! This book is an exposition of the theoretical foundations of hyperbolic manifolds. Color adds a new dimension to figures throughout.

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