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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 the end of Chapter 12 there is a new appendix describing some of the recent work on discrete subgroups of Lie groups with application to space forms of pseudo-riemannian symmetric spaces. Additional references have been added to this sixth edition as well.
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Book Description Condition: New. Seller Inventory # 12272743-n
Book Description Amer Mathematical Society, 2011. HRD. Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Seller Inventory # KB-9780821852828
Book Description American Mathematical Society. Hardcover. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780821852828
Book Description American Mathematical Society, 2010. Hardcover. Condition: New. 6. Seller Inventory # DADAX0821852825
Book Description Chelsea Pub Co, 2011. Hardcover. Condition: Brand New. 6th edition. 420 pages. 10.10x7.30x1.10 inches. In Stock. Seller Inventory # z-0821852825
Book Description American Mathematical Society, 2010. Hardcover. Condition: New. Never used!. Seller Inventory # P110821852825
Book Description American Mathematical Society, 2010. Hardcover. Condition: New. Brand New!. Seller Inventory # VIB0821852825
Book Description 2010. Hardcover. Condition: New. 6th. Hardcover. This sixth edition illustrates the high degree of interplay between group theory and geometry. The reader will benefit from the very concise treatments of riemannian and pseu.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 420 pages. 0.930. Seller Inventory # 9780821852828