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Spaces of Constant Curvature (Ams Chelsea Publishing) by Joseph Albert Wolf is a nonfiction available to read on EtoBox.

What is Spaces of Constant Curvature (Ams Chelsea Publishing) about?

This book is the sixth edition of the classic Spaces of Constant Curvature, first published in 1967, with the previous (fifth) edition published in 1984. It illustrates the high degree of interplay between group theory and geometry. The reader will benefit from the very concise treatments of riemannian and pseudo-riemannian manifolds and their curvatures, of the representation theory of finite groups, and of indications of recent progress in discrete subgroups of Lie groups. Part I is a brief introduction to differentiable manifolds, covering spaces, and riemannian and pseudo-riemannian geometry. It also contains a certain amount of introductory material on symmetry groups and space forms, indicating the direction of the later chapters. Part II is an updated treatment of euclidean space form. Part III is Wolf's classic solution to the Clifford–Klein Spherical Space Form Problem. It starts with an exposition of the representation theory of finite groups. Part IV introduces riemannian symmetric spaces and extends considerations of spherical space forms to space forms of riemannian symmetric spaces. Finally, Part V examines space form problems on pseudo-riemannian symmetric spaces. At

Who reads Spaces of Constant Curvature (Ams Chelsea Publishing)?

Author

Joseph Albert Wolf

Publisher

American Mathematical Society

Published

2010

Language

EN

ISBN

9781470473655

Category

nonfiction

Subjects

Mathematics, Stem