Spaces of Constant Curvature (Record no. 59205)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03336nam a22003497a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220512120131.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220512b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821852828 |
| 028 ## - DISTRIBUTOR NAME | |
| Distributor Name | :Technical Bureau India Pvt. Ltd. |
| Distributor address | :E/261, Shastri Nagar Delhi |
| Bill Number | :TB345 |
| Bill Date | :TB345 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 513.85 WOL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Wolf, Joseph Albert |
| 245 ## - TITLE STATEMENT | |
| Title | Spaces of Constant Curvature |
| Statement of responsibility, etc | / Joseph Albert Wolf |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Providence, R.I. |
| Name of publisher, distributor, etc | : AMS Chelsea Pub |
| Date of publication, distribution, etc | ©2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xv, 420p. |
| Other physical details | : illustrations |
| Dimensions | ; 27 cm |
| 365 ## - TRADE PRICE | |
| Price amount | 4746 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | Affine differential geometry --<br/>Riemannian curvature --<br/>Flat Riemannian manifolds --<br/>Representations of finite groups --<br/>Vincent's work on the spherical space form problem --<br/>The classification of fixed point free groups --<br/>The solution to the spherical space form problem --<br/>Rieman symmetric spaces --<br/>Space forms of irreducible symmetric spaces --<br/>Locally symmetric spaces of non-negative curvature --<br/>Spaces of constant curvature --<br/>Locally isotropic manifolds. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | <br/>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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Arithmetic |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Spaces of constant curvature. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry, Riemannian. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Riemannian manifolds. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential geometry -- Global differential geometry -- Symmetric spaces. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential geometry -- Global differential geometry -- Homogeneous manifolds. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential geometry -- Global differential geometry -- Lorentz manifolds, manifolds with indefinite metrics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic geometry -- Algebraic groups -- Classical groups (geometric aspects) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Lie algebras of linear algebraic groups. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential geometry -- Research exposition (monographs, survey articles) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Riemannian manifolds. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Wolf, Joseph Albert, |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Barcode | Date last seen | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Not For Loan | SNU LIBRARY | SNU LIBRARY | 12/05/2022 | Technical Bureau India Pvt. Ltd. | 4746.00 | 513.85 WOL | 28720 | 12/05/2022 | 12/05/2022 | Books | Books Shifted in Mathematics Dept. |