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Introduction to riemannian manifolds (Record no. 35077)

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
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Universal Decimal Classification     SMS Library SMS Library 28/05/2024   514.7 LEE-I N436 25/06/2024 25/06/2024 NBHM Books
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