Riemannian manifolds: an introduction to curvature (Record no. 44513)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01570cam a2200229 a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 970417s1997 nyua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387983226 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.373 |
| Item number | LEE |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lee, John M. |
| 245 10 - TITLE STATEMENT | |
| Title | Riemannian manifolds: an introduction to curvature |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | New York: |
| Name of publisher, distributor, etc | Springer, |
| Date of publication, distribution, etc | 1997. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 224 p.: |
| Other physical details | ill.; |
| Dimensions | 24 cm. |
| 365 ## - TRADE PRICE | |
| Price type code | INR |
| Price amount | 1610.77 |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Graduate texts in mathematics; vol.176 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This text is designed for a one-quarter or one-semester graduate course on Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced study of Riemannian manifolds. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics, and then introduces the curvature tensor as a way of measuring whether a Riemannian manifold is locally equivalent to Euclidean space. Submanifold theory is developed next in order to give the curvature tensor a concrete quantitative interpretation. The remainder of the text is devoted to proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and the characterization of manifolds of constant curvature. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Riemannian manifolds |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Curvature |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Riemannian metrics |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Bonnet theorem |
| 942 ## - ADDED ENTRY ELEMENTS (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 | Total Checkouts | Total Renewals | Full call number | Barcode | Date last seen | Date last borrowed | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | IIT Gandhinagar | IIT Gandhinagar | 29/06/2016 | Himanshu Books | 1610.77 | 29 | 1 | 516.373 LEE | 023640 | 02/05/2024 | 27/04/2024 | Books |
