Complex geometry of groups January 5-11, 1998, Olmué, Chile

Cover of: Complex geometry of groups |

Published by American Mathematical Society in Providence, R.I .

Written in English

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  • Rieman surfaces -- Congresses.,
  • Kleinian groups -- Congresses.

Edition Notes

Includes bibliographical references.

Book details

StatementAngel Carocca, Víctor González-Aguilera, Rubí E. Rodríguez, editors.
SeriesContemporary mathematics,, 240, Contemporary mathematics (American Mathematical Society) ;, v. 240.
ContributionsCarocca, Angel, 1965-, González-Aguilera, Víctor, 1950-, Rodríguez, Rubí E., 1953-, Iberoamerican Congress on Geometry (1st : 1998 : Olmué, Chile)
LC ClassificationsQA333 .I24 1998
The Physical Object
Paginationix, 286 p. :
Number of Pages286
ID Numbers
Open LibraryOL40085M
ISBN 100821813811
LC Control Number99030206

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The approaches are varied, including Kleinian groups, quasiconformal mappings and Teichmüller spaces, function theory, moduli spaces, automorphism groups, algebraic geometry, and more. Readership Graduate students and research mathematicians interested in functions of a complex.

mathematics, for example the study of complex analysis or hyperbolic geomety. Our hope is that, at the end of a one-semester course, this book will have helped the reader to learn some geometry, some group theory and a bit about complex numbers.

We hope that she or he will have experienced some of the richness and unity. The book is largely self-contained There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory.

Both are enlivened by examples related to groups An attractive feature is the attempt to convey some informal 'wisdom' rather than only the precise definitions. Geometry of Complex Numbers: Circle Geometry, Moebius Transformation, Non-Euclidean Geometry is an undergraduate textbook on geometry, whose topics include circles, the complex plane, inversive geometry, and non-Euclidean was written by Hans Schwerdtfeger, and originally published in as Volume 13 of the Mathematical Expositions series of the University of Toronto Press.

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Everyday low prices and free delivery on eligible : Paperback. Geometric Group Theory Preliminary Version Under revision. The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov’s Theorem on groups of polynomial growth.

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Peano", Università di Torino, PRIN Real and Complex Manifolds: Topology, Geometry and holomorphic dynamics. This book, which was originally published in and has been translated and revised by the author from notes of a course, is an introduction to certain central ideas in group theory and geometry.

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Notes on Differential Geometry and Lie Groups. This note covers the following topics: Matrix Exponential; Some Matrix Lie Groups, Manifolds and Lie Groups, The Lorentz Groups, Vector Fields, Integral Curves, Flows, Partitions of Unity, Orientability, Covering Maps, The Log-Euclidean Framework, Spherical Harmonics, Statistics on Riemannian Manifolds, Distributions and the Frobenius Theorem.

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The classification of transitive G-spaces -- 7. G-morphisms -- 8. Group actions in group theory -- 9. Actions count -- Geometry: an introduction -- The axiomatisation of geometry -- Affine geometry -- Projective geometry -- Euclidean geometry -- Finite groups of isometries -- Complex numbers and quaternions -- Lectures on Lie groups and geometry S.

Donaldson Ma Abstract These are the notes of the course given in Autumn and Spring Two good books (among many): Adams: Lectures on Lie groups (U.

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The only book of its kind written specifically for undergraduates which explains the links between these two important mathematical groups. The authors explain these links by recourse to symmetry, a study of groups providing a good means of measuring geometrical symmetry.

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Generalized complex geometry is a new kind of geometrical structure which contains complex and symplectic geometry as its extremal special cases. In [16] the operators φ and ∂ ¯ (see ) and the corresponding cohomology were defined for the generalized complex structure. Modern geometry is expressed with group theory.

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We quickly learn to identify the axis of symmetry and. These lecture notes were created using material from Prof. Helgason's books Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis, intermixed with new content created for the class. The notes are self-contained except for some details about topological groups for which we refer to Chevalley's Theory of Lie.

Preface This text is intended for a one or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields.

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