Introduction to Riemannian Manifolds (Record no. 60511)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02131nam a22002417a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240708b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030801069 (PB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 514.7 |
| Item number | LEE |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Lee, John M. |
| 245 ## - TITLE STATEMENT | |
| Title | Introduction to Riemannian Manifolds |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cham |
| Name of publisher | Springer |
| Year of publication | 2018 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiii, 437p. |
| Other physical details | ill. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate Texts in Mathematics |
| Volume number/sequential designation | 176 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes References (415-418) and Index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. What Is Curvature? <br/>2. Riemannian Metrics <br/>3. Model Riemannian Manifolds <br/>4. Connections <br/>5. The Levi-Cevita Connection <br/>6. Geodesics and Distance <br/>7. Curvature <br/>8. Riemannian Submanifolds <br/>9. The Gauss–Bonnet Theorem <br/>10. Jacobi Fields <br/>11. Comparison Theory <br/>12. Curvature and Topology |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian Manifolds: An Introduction to Curvature. Numerous exercises and problem sets provide the student with opportunities to practice and develop skills; appendices contain a brief review of essential background material. While demonstrating the uses of most of the main technical tools needed for a careful study of Riemannian manifolds, this text focuses on ensuring that the student develops an intimate acquaintance with the geometric meaning of curvature. The reasonably broad coverage begins with a treatment of indispensable tools for working with Riemannian metrics such as connections and geodesics. Several topics have been added, including an expanded treatment of pseudo-Riemannian metrics, a more detailed treatment of homogeneous spaces and invariant metrics, a completely revamped treatment of comparison theory based on Riccati equations, and a handful of new local-to-global theorems, to name just a few highlights |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential Geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Riemannian geometry |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) |
|---|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | First Floor, Rack No: 30, Shelf No: 34 | 514.7 LEE | 78075 | BOOKS | Gratis by NBHM |