Hyperbolic Geometry from a Local Viewpoint by Linda Keen
Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems.-
Undergraduate Algebraic Geometry
-
The Prime Number Theorem
-
Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean type
-
Notes on Hamiltonian Dynamical Systems
-
LMSST: 24 Lectures on Elliptic Curves
-
A Brief Guide to Algebraic Number Theory
-
Designs, Graphs, Codes and their Links
-
Logic, Induction and Sets
-
Fourier Analysis on Finite Groups and Applications
-
Introduction to Combinators and (lambda) Calculus
-
Representation Theorems in Hardy Spaces
-
Introduction to Approximate Groups
-
The Block Theory of Finite Group Algebras
-
Hyperbolic Geometry
-
Random Graphs, Geometry and Asymptotic Structure
-
Undergraduate Commutative Algebra
- Nearly Invariant Subspaces and their Applications
-
Celestial Mechanics
-
Sets and Transfinite Algebra
-
The Shrikhande Graph
-
Topics in Cyclic Theory
-
An Introduction to the Theory of Graph Spectra
-
Clifford Algebras: An Introduction
-
The Riemann Hypothesis for Function Fields
-
Introduction to Banach Algebras, Operators, and Harmonic Analysis
-
Fast Track to Forcing
-
The Block Theory of Finite Group Algebras: Volume 1
-
Computational Algebraic Geometry
-
Lectures on Kahler Geometry
-
Fourier Analysis: Volume 1, Theory
-
Semigroups of Linear Operators
-
An Introduction to Noncommutative Noetherian Rings
-
The Calculus of Braids
-
A Gentle Introduction to Homological Mirror Symmetry
-
Set Theory
-
Tensor Products of C*-Algebras and Operator Spaces
-
Introductory Lectures on Rings and Modules
'Here new and interesting results are collected and presented for a target audience of graduate students and researchers, but the first half of the book is well accessible also for undergraduate students, and indeed everyone who is interested in an introduction to hyperbolic geometry' Internationale Mathematische Nachrichten
Linda Keen is a Professor of Mathematics at the City University of New York, Lehman College and the Graduate Center. Nikola Lakic is an Associate Professor of Mathematics at the City University of New York, Lehman College and the Graduate Center.
| SKU | Unavailable |
| ISBN 13 | 9780521682244 |
| ISBN 10 | 052168224X |
| Title | Hyperbolic Geometry from a Local Viewpoint |
| Author | Linda Keen |
| Series | London Mathematical Society Student Texts |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2007-03-08 |
| Number of pages | 282 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |