Para Hyperk Hler Geometry Of The Deformation Space Of Maximal Globally Hyperbolic Anti De Sitter Three Manifolds
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Para Hyperk Hler Geometry Of The Deformation Space Of Maximal Globally Hyperbolic Anti De Sitter Three Manifolds
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Author : Filippo Mazzoli
language : en
Publisher: American Mathematical Society
Release Date : 2025-02-25
Para Hyperk Hler Geometry Of The Deformation Space Of Maximal Globally Hyperbolic Anti De Sitter Three Manifolds written by Filippo Mazzoli and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-25 with Mathematics categories.
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Some Isoparametric Hypersurfaces Of A Complex Hyperbolic Space And Their Counterparts In Anti De Sitter Space Time
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Author : Michael H. Vernon
language : en
Publisher:
Release Date : 1985
Some Isoparametric Hypersurfaces Of A Complex Hyperbolic Space And Their Counterparts In Anti De Sitter Space Time written by Michael H. Vernon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Hypersurfaces categories.
Hyperbolic Complex Spaces
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Author : Shoshichi Kobayashi
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-05-06
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 1998-05-06 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.
Foundations Of Hyperbolic Manifolds
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Author : John G. Ratcliffe
language : en
Publisher: Springer Science & Business Media
Release Date : 1994
Foundations Of Hyperbolic Manifolds written by John G. 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 1994 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. 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, Chapters 1-7, is concerned with hyperbolic geometry and discrete groups. The second part, Chapters 8-12, is devoted to the theory of hyperbolic manifolds. The third part, Chapter 13, integrates the first two parts in a development of the theory of hyperbolic orbifolds. There are over 500 exercises in this book and more than 180 illustrations.
Hyperbolicity Equations For Cusped 3 Manifolds And Volume Rigidity Of Representations
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Author : Stefano Francaviglia
language : en
Publisher: Edizioni della Normale
Release Date : 2005-10-01
Hyperbolicity Equations For Cusped 3 Manifolds And Volume Rigidity Of Representations written by Stefano Francaviglia and has been published by Edizioni della Normale this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-01 with Mathematics categories.
One of the most useful tools for studying hyperbolic 3-manifolds is the technique of ideal triangulations, introduced by Thurston to understand the hyperbolic structure of the complement of the figure-eight knot. If a 3-manifold is equipped with an ideal triangulation, one tries to construct a hyperbolic structure on the manifold by defining the structure on each tetrahedron and then by requiring global compatibility. Straight hyperbolic ideal tetrahedra are parameterized by complex numbers with positive imaginary part, and compatibility translates into algebraic equations in the parameters. In most of this work we consider generalized solutions of the compatibility equations, without restrictions on the imaginary part, and we investigate which such solutions define a global structure. We begin by facing, and essentially solving in full generality, the analogous two-dimensional Euclidean problem. We then study explicit examples of cusped 3-manifold, exhibiting a variety of different phenomena. Finally, we introduce a certain notion of geometric solution, we prove existence and uniqueness results for such solutions, and we characterize them in terms of the volume of their (suitably defined) holonomy. The last part of the thesis is devoted to the study of the volume function on the character variety of a hyperbolic 3-manifold. Our main result here is the proof of a rigidity theorem for representations of maximal volume.
Beyond Hyperbolicity
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Author : Mark Hagen
language : en
Publisher: Cambridge University Press
Release Date : 2019-07-11
Beyond Hyperbolicity written by Mark Hagen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-11 with Mathematics categories.
Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.
Introduction To Complex Hyperbolic Spaces
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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 1987-05-04
Introduction To Complex Hyperbolic Spaces written by Serge Lang 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 1987-05-04 with Mathematics categories.
Since the appearance of Kobayashi's book, there have been several re sults at the basic level of hyperbolic spaces, for instance Brody's theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc. which make it worthwhile to have a systematic exposition. Although of necessity I re produce some theorems from Kobayashi, I take a different direction, with different applications in mind, so the present book does not super sede Kobayashi's. My interest in these matters stems from their relations with diophan tine geometry. Indeed, if X is a projective variety over the complex numbers, then I conjecture that X is hyperbolic if and only if X has only a finite number of rational points in every finitely generated field over the rational numbers. There are also a number of subsidiary conjectures related to this one. These conjectures are qualitative. Vojta has made quantitative conjectures by relating the Second Main Theorem of Nevan linna theory to the theory of heights, and he has conjectured bounds on heights stemming from inequalities having to do with diophantine approximations and implying both classical and modern conjectures. Noguchi has looked at the function field case and made substantial progress, after the line started by Grauert and Grauert-Reckziegel and continued by a recent paper of Riebesehl. The book is divided into three main parts: the basic complex analytic theory, differential geometric aspects, and Nevanlinna theory. Several chapters of this book are logically independent of each other.
The Arithmetic Of Hyperbolic 3 Manifolds
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Author : Colin Maclachlan
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
The Arithmetic Of Hyperbolic 3 Manifolds written by Colin Maclachlan 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 2003 with Mathematics categories.
Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots of problems; Brings together much of the existing literature of Kleinian groups in a clear and concise way; At present no such text exists
Slant Geometry Of Spacelike Hypersurfaces In Hyperbolic Space And De Sitter Space
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Author :
language : en
Publisher:
Release Date : 2010
Slant Geometry Of Spacelike Hypersurfaces In Hyperbolic Space And De Sitter Space written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Analytical And Geometric Aspects Of Hyperbolic Space
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Author : D. B. A. Epstein
language : en
Publisher: CUP Archive
Release Date : 1987-03-19
Analytical And Geometric Aspects Of Hyperbolic Space written by D. B. A. Epstein and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-03-19 with Mathematics categories.
This work and its companion volume form the collected papers from two symposia held at Durham and Warwick in 1984. Volume I contains an expository account by David Epstein and his students of certain parts of Thurston's famous mimeographed notes. This is preceded by a clear and comprehensive account by S. J. Patterson of his fundamental work on measures on limit sets of Kleinian groups.