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Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane

The automorphisms of a two-generator free group $mathsf F_2$ acting on the space of orientation-preserving isometric actions of $mathsf F_2;

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Complex Kleinian Groups

automorphisms of higher dimensional complex projective spaces? These two theories are different in higher dimensions. In the first case we are talking;

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Combinatorial and Geometric Group Theory

This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ;

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Hyperbolic Geometry From A Local Viewpoint

infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains;

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Hyperbolic Geometry from a Local Viewpoint

infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains;

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Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio;

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Office Hours With a Geometric Group Theorist

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri;

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Differential Geometry - Proceedings Of The Viii International Colloquium

submanifolds in symmetric spaces, cohomogeneity one actions on hyperbolic spaces and rigidity of geodesic spheres in space forms. Geometric;

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Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

The study of geodesic flows on homogenous spaces is an area of research that has yielded some fascinating developments. This book, first;

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The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed. (From the preface);

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Continuous Bounded Cohomology of Locally Compact Groups

hyperbolic spaces and on Teichmüller spaces. A special effort has been made to provide detailed proofs or references in quite some generality.;

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Flexibility of Group Actions on the Circle

and Fuchsian groups. Limit groups are shown to admit large collections of faithful actions on the circle with disjoint rotation spectra. For;

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Hyperbolic Geometry

The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries;

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Geometry and Dynamics in Gromov Hyperbolic Metric Spaces

This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces;

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Beyond Hyperbolicity

to this rich and active field. The first two parts are devoted to mini-courses and expository articles on coarse median spaces;

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Submanifolds and Holonomy

chapter on polar actions on symmetric spaces of noncompact type New section on the existence of slices and principal orbits for isometric actions;

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Hyperbolic Manifolds and Kleinian Groups

of hyperbolic manifolds, and at the same time complex dynamical approach was strongly developed by Sullivan. This book provides fundamental results and;

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Profinite Graphs and Groups

of automorphisms of free pro-p groups. The final part of the book is dedicated to applications of the profinite theory to abstract groups, with sections on;

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Groups Acting on Hyperbolic Space

the inversions in spheres. The ge ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and;

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Spherical CR Geometry and Dehn Surgery (AM-165)

groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of closed real hyperbolic 3;

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Geometry and Discrete Mathematics

This two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two;

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London Mathematical Society Student Texts

in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups;

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Introduction to Non-Euclidean Geometry

postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book.Topics include hyperbolic plane;

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Topics in Differential Geometry

forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. The layout;

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Path Integrals, Hyperbolic Spaces And Selberg Trace Formulae (2nd Edition)

. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions;

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Group Theory From A Geometrical Viewpoint

of hyperbolic groups, Coxeter groups, Tits buildings and actions on real trees. All these are very active subjects.;

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A Short Course in Automorphic Functions

of the hyperbolic plane. The necessary hyperbolic geometry is developed in the text. Chapter two develops automorphic functions and forms via the;

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