MARC details
000 -LEADER |
fixed length control field |
02338nam a22003377a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240625194801.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240625b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783030801069 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
514.7 |
Item number |
LEE-I |
100 ## - MAIN ENTRY--PERSONAL 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, distribution, etc. |
Switzerland : |
Name of publisher, distributor, etc. |
Springer Cham, |
Date of publication, distribution, etc. |
2018. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xiii, 437p. : |
Other physical details |
210 illustrations |
490 ## - SERIES STATEMENT |
Series statement |
Graduate texts in mathematics, |
Volume/sequential designation |
176. |
International Standard Serial Number |
0072-5285 ; |
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.<br/><br/>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-Riemannianmetrics, 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 or geographic name as entry element |
Differential geometry. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Riemannian geometry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Riemannian metrics |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Riemannian submanifolds |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Gauss-Bonnet theorem |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Jacobi fields |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Curvature and topology |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Geodesics |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Levi-Cevita connection |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of Contents |
Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-3-319-91755-9/1">https://link.springer.com/content/pdf/bfm:978-3-319-91755-9/1</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/54131909-introduction-to-riemannian-manifolds?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/54131909-introduction-to-riemannian-manifolds?ref=nav_sb_ss_1_13#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Universal Decimal Classification |
Koha item type |
NBHM Books |