It is intended to be used both as a textbook and as a reference. JavaScript is currently disabled, this site works much better if you This book is an exposition of the theoretical foundations of hyperbolic manifolds. The first part is concerned with hyperbolic geometry and discrete groups. Authors: After reading this book, the reader will have the necessary background to study the current research on hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic groups. Over 10 million scientific documents at your fingertips. Victor V. Pambuccian, Zentralblatt MATH, Vol. This book is an exposition of the theoretical foundations of hyperbolic manifolds. The book is divided into three parts. It is a both a textbook and a reference. It is intended to be used both as a textbook and as a reference. Foundations of Hyperbolic Manifolds John G. Ratcliffe. price for Spain After reading this book, the reader will have the necessary background to study the current research on hyperbolic manifolds. Graduate Texts in Mathematics This book is an exposition of the theoretical foundations of hyperbolic manifolds. ...you'll find more products in the shopping cart. It is intended to be used both as a textbook and as a reference. Springer is part of, Please be advised Covid-19 shipping restrictions apply. This heavily class-tested 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. We have a dedicated site for United Kingdom. The book is divided into three parts. This book is an exposition of the theoretical foundations of hyperbolic manifolds. It seems that you're in United Kingdom. This service is more advanced with JavaScript available, Part of the The main results are Mostow’s rigidity theorem and the determination of the global geometry of hyperbolic manifolds of finite volume. The first part is concerned with hyperbolic … The treatment of the material is … The first part is concerned with hyperbolic geometry and discrete groups. Particular emphasis has been placed on readability and completeness of ar gument. The new main results are Schl\¬afli’s differential formula and the $n$-dimensional Gauss-Bonnet theorem. The first part is concerned with hyperbolic geometry and discrete groups. The first part is concerned with hyperbolic … 107.6.166.154, Department of Mathematics, Stevenson Center 1326, https://doi.org/10.1007/978-0-387-47322-2, Springer Science+Business Media, LLC 2006. Not logged in The exposition is at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. John G. Ratcliffe is Professor of Mathematics at Vanderbilt University. It is intended to be used both as a textbook and as a reference. © 2020 Springer Nature Switzerland AG. 1106 (8), 2007. It is intended to be used both as a textbook and as a reference. Color adds a new dimension to figures throughout. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic groups. Over 40 new lemmas, theorems, and corollaries feature, along with more than 70 additional exercises. This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. CYBER DEAL: 50% off all Springer eBooks | Get this offer! Part of Springer Nature. 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. 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. John G. Ratcliffe is a Professor of Mathematics at Vanderbilt University. book series A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. 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 main result is Poincare«s fundamental polyhedron theorem. enable JavaScript in your browser. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. 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 main results are the characterization of hyperbolic reflection groups and Euclidean crystallographic groups. Not affiliated 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. This third edition greatly expands upon the second with an abundance of additional content, including a section dedicated to arithmetic hyperbolic groups. (gross), © 2020 Springer Nature Switzerland AG. 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 main results are the The exposition if at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. This book is an exposition of the theoretical foundations of hyperbolic manifolds. Designed to be useful as both textbook and a reference, this book renders a real service to the mathematical community by putting together the tools and prerequisites needed to enter the territory of Thurston’s formidable theory of hyperbolic 3-manifolds […] Every chapter is followed by historical notes, with attributions to the relevant literature, both of the originators of the idea present in the chapter and of modern presentation thereof. 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. The book is divided into three parts. (GTM, volume 149). It is a both a textbook and a reference. This book is an exposition of the theoretical foundations of hyperbolic manifolds. The second part is devoted to the theory of hyperbolic manifolds.