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Foundations of Hyperbolic Manifolds

This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a;

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Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142

Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston;

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Hyperbolic Manifolds

the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and;

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Hyperbolic Manifolds And Holomorphic Mappings

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic;

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Hyperbolic Manifolds And Holomorphic Mappings

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic;

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Introduction To Spectral Theory And Inverse Problem On Asymptotically Hyperbolic Manifolds

problems for the Laplace-Beltrami operators on asymptotically hyperbolic manifolds. Based upon the classical stationary scattering theory in n, the;

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Hyperbolic Manifolds and Discrete Groups

Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3;

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Spherical CR Geometry and Dehn Surgery (AM-165)

This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete;

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Hyperbolic Manifolds and Kleinian Groups

A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Moebius;

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Fundamentals of Hyperbolic Geometry

Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's;

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Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology

Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading;

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The Structure of Groups with a Quasiconvex Hierarchy

right-angled Artin groups. The book culminates by establishing a remarkable theorem about the nature of hyperbolic groups that are constructible;

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The Structure of Groups with a Quasiconvex Hierarchy

right-angled Artin groups. The book culminates by establishing a remarkable theorem about the nature of hyperbolic groups that are constructible;

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London Mathematical Society Lecture Note Series

The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having;

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Foliations and the Geometry of 3-Manifolds

dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces;

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Handbook of Group Actions V

, geometric group theory, diffeomorphism groups of manifolds, mapping class groups, three-dimensional topology, hyperbolic manifolds, automorphism;

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London Mathematical Society Lecture Note Series

assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot;

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Emerging Topics on Differential Equations and Their Applications

Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems.;

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The Geometrization Conjecture

which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and more volume collapsed. The second half of the;

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Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader;

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The Geometry and Topology of Coxeter Groups. (LMS-32)

in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell;

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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110

, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants;

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Outer Circles

the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary;

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Illustrating Mathematics

theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space;

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Mean Curvature Flow and Isoperimetric Inequalities

hyperbolic manifolds.;

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London Mathematical Society Lecture Note Series

The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and;

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Complex Analysis with Applications to Number Theory

, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics;

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