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 ...
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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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Add this copy of Spaces of Constant Curvature to cart. $93.00, good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1984 by Publish or Perish.
Add this copy of Spaces of Constant Curvature to cart. $32.00, good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1967 by McGraw-Hill.
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Seller's Description:
Good in Good jacket. McGraw-Hill, 1967. Jacket soiled/rubbed, small red sticker on back, edges rubbed with minor tearing, ~1.5cm tear at top rear corner; cover very lightly rubbed, corners lightly rubbed, spine ends lightly bumped/rubbed; edges soiled and marked in violet ink; ffep has erasures, rear endpapers have minor soiling; binding tight; cover, edges, and interior intact and clean except as noted. hardcover. Good/Good.
Add this copy of Spaces of Constant Curvature (McGraw-Hill Series in to cart. $43.99, very good condition, Sold by Robert Harper Books rated 5.0 out of 5 stars, ships from Hyattsville, MD, UNITED STATES, published 1967 by McGraw-Hill.
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Very Good in Unclipped jacket. Size: 8x5x1; First ed.; 408 p., clean and unmarked anywhere on strong paper only very mildly age-toned; binding tight; boards fine, well protected by glossy dj. with just enough edge wear to keep this from being "like new."
Add this copy of Spaces of Constant Curvature to cart. $59.65, good condition, Sold by Alibris rated 5.0 out of 5 stars, ships from NV, USA, published 1967 by McGraw-Hill.
Add this copy of Spaces of Constant Curvature to cart. $110.00, like new condition, Sold by BingoBooks2 rated 4.0 out of 5 stars, ships from Vancouver, WA, UNITED STATES, published 1967 by mcgraw hill.
