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Topological Methods
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Hanspeter Kraft
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Seminar on transformation groups
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A. Borel
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Groups, a Path to Geometry
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R P Burn
Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of ...
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Equivariant surgery theories and their periodicity properties
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Karl Heinz Dovermann
The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways. This book discusses some basic properties that such theories have in common. Special emphasis is placed on analogs of the fourfold periodicity theorems in ordinary surgery and the roles of standard general position ...
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Transformation Groups and Invariant Measures: Set-Theoretical Aspects
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A. B. Kharazishvili
This book is devoted to some topics of the general theory of invariant and quasi-invariant measures. Such measures are usually defined on various sigma-algebras of subsets of spaces equipped with transformation groups, and there are close relationships between purely algebraic properties of these groups and the corresponding properties of ...
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Transformation Groups in Differential Geometry
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Shoshichi Kobayashi
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Cohomological Methods in Transformation Groups Cohomological Methods in Transformation Groups
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C Allday, Volker Puppe
This is an introduction to topics in the theory of transformations groups, aimed at graduate students and research workers in algebraic topology.
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Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity, I
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Eldar Straume
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Lie-Bäcklund transformations in applications
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Robert Leonard Anderson, N. Kh Ibragimov
Presents an introduction to the classical treatment of Backlund and general surface transformations and includes detailed and accessible techniques for constructing both groups of tranformations which will be of great value to the scientist and engineer in the analysis of mathematical models of physical phenomena.
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Iutam Symposium on Transformation Problems in Composite & Active Materials
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Yehia A Bahei-El-Din, George J Dvorak, International Union of Theoretical & App
This book contains papers contributed to the IUTAM Symposium on Transformation Problems in Composite and Active Materials which was held in Cairo, Egypt in March 1997. The chapters address uncoupled and coupled transformation problems in composite and smart materials and their structures. The book is organized into six sections covering the ...
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Differential Equations and Group Methods for Scientists and Engineers
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James M Hill, Hill M Hill
Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial ...
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The theory of transformation groups
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Katsuo Kawakubo
This book presents an introduction to the theory of transformation groups which will be suitable for all those coming to the subject for the first time. The emphasis is on the study of compact Lie groups acting on manifolds. Throughout, much care is taken to illustrate concepts and results with examples and applications. Numerous exercises are ...
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Transformation Groups Applied to Mathematical Physics
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Nail H Ibragimov
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Geometry of Spherical Space Form Groups
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Peter B Gilkey, Peter B Gilkey (Editor)
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Continuous Flows in the Plane
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Anatole Beck
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Incidence and Symmetry in Design and Architecture
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Jenny A Baglivo, Jack E Graver, Leslie Martin (Editor)
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Topological Transformation Groups
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Deane Montgomery, Leo Zippin
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Group Invariance in Engineering Boundary Value Problems
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R. Seshadri
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G Surgery II
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Ted Petrie, Karl H. Dovermann
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Involutions on Manifolds
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Santiago Lopez De Medrano
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Discrete Groups in Space and Uniformization Problems
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Apanasov
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Geometry of Groups of Transformations
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Andri Lichnerowicz, Professor Andre Lichnerowicz, Andra(c) Lichnerowicz
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Theorie Der Transformationsgruppen
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Sophus Lie
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Transformation groups
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Tammo tom Dieck
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Almost-Bieberbach Groups: Affine and Polynomial Structures
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Karel Dekimpe
Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. ...
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