Date and Time

Riemannian geometry: (Record no. 6830)

000 -LEADER
fixed length control field 04534cam a22005535i 4500
001 - CONTROL NUMBER
control field 11319450
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160920171744.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr n
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s1987 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540204930 (Pbk)
Terms of availability Euro 16.99
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-97026-9
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (WaSeSS)ssj0001298324
040 ## - CATALOGING SOURCE
Modifying agency WaSeSS
Transcribing agency IISERB
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA641-670
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBMP
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT012030
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36 G138R3
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gallot, Sylvestre.
9 (RLIN) 5537
210 10 - ABBREVIATED TITLE
Abbreviated title Riemannian Geometry
222 ## - KEY TITLE
Key title Mathematics Collection
245 10 - TITLE STATEMENT
Title Riemannian geometry:
Statement of responsibility, etc by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine.
250 ## - EDITION STATEMENT
Edition statement 3rd
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Heidelberg:
Name of publisher, distributor, etc Springer,
Date of publication, distribution, etc 2004.
300 ## - PHYSICAL DESCRIPTION
Extent xv, 322p.
490 1# - SERIES STATEMENT
Series statement Universitext,
International Standard Serial Number 0172-5939
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note I: Differential Manifolds -- A. from Submanifolds to Abstract Manifolds -- B. Tangent Bundle -- C. Vector Fields: -- D. Baby lie Groups -- E. Covering maps and Fibrations -- F. Tensors -- G. Exterior forms -- H. Appendix: Partitions of Unity -- II: Riemannian Metrics -- A. Existence Theorems and first Examples -- B. Covariant Derivative -- C. Geodesics -- III: Curvature -- A. the Curvature Tensor -- B. first Second Variation of arc-Length and Energy -- C. Jacobi Vector Fields -- D. Riemannian Submersions and Curvature -- E. The Behavior of Length and Energy in the Neighborhood of a Geodesic -- F. Manifolds with Constant Sectional Curvature -- G. Topology and Curvature -- H. Curvature and Volume -- I. Curvature and Growth of the Fundamental Group -- J. Curvature and Topology -- K. Curvature and Representations of the Orthogonal Group -- Chapitre IV: Analysis on Manifolds and the Ricci Curvature -- A. Manifolds with Boundary -- B. Bishop's Inequality Revisited -- C. Differential forms and Cohomology -- D. Basic Spectral Geometry -- E. Some Examples of Spectra -- F. The Minimax Principle -- V. Riemannian Submanifolds.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access License restrictions may limit access.
520 ## - SUMMARY, ETC.
Summary, etc Traditional point of view: pinched manifolds 147 Almost flat pinching 148 Coarse point of view: compactness theorems of Gromov and Cheeger 149 K. CURVATURE AND REPRESENTATIONS OF THE ORTHOGONAL GROUP Decomposition of the space of curvature tensors 150 Conformally flat manifolds 153 The second Bianchi identity 154 CHAPITRE IV : ANALYSIS ON MANIFOLDS AND THE RICCI CURVATURE A. MANIFOLDS WITH BOUNDARY Definition 155 The Stokes theorem and integration by parts 156 B. BISHOP'S INEQUALITY REVISITED 159 Some commutations formulas Laplacian of the distance function 160 Another proof of Bishop's inequality 161 The Heintze-Karcher inequality 162 C. DIFFERENTIAL FORMS AND COHOMOLOGY The de Rham complex 164 Differential operators and their formal adjoints 165 The Hodge-de Rham theorem 167 A second visit to the Bochner method 168 D. BASIC SPECTRAL GEOMETRY 170 The Laplace operator and the wave equation Statement of the basic results on the spectrum 172 E. SOME EXAMPLES OF SPECTRA 172 Introduction The spectrum of flat tori 174 175 Spectrum of (sn, can) F. THE MINIMAX PRINCIPLE 177 The basic statements VIII G. THE RICCI CURVATURE AND EIGENVALUES ESTIMATES Introduction 181 Bishop's inequality and coarse estimates 181 Some consequences of Bishop's theorem 182 Lower bounds for the first eigenvalue 184 CHAPTER V : RIEMANNIAN SUBMANIFOLDS A. CURVATURE OF SUBMANIFOLDS Introduction 185 Second fundamental form 185 Curvature of hypersurfaces 187 Application to explicit computations of curvature 189 B. CURVATURE AND CONVEXITY 192 The Hadamard theorem C.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
9 (RLIN) 5538
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global differential geometry.
9 (RLIN) 5539
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Cell aggregation
General subdivision Mathematics.
9 (RLIN) 5540
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics.
9 (RLIN) 5541
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
9 (RLIN) 5538
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential Geometry.
9 (RLIN) 5542
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Manifolds and Cell Complexes (incl. Diff.Topology).
9 (RLIN) 5543
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Methods in Physics.
9 (RLIN) 5544
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Numerical and Computational Physics.
9 (RLIN) 5545
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Hulin, Dominique.
9 (RLIN) 5546
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Lafontaine, Jacques.
9 (RLIN) 5547
773 0# - HOST ITEM ENTRY
Title Springer eBooks
773 #0 - HOST ITEM ENTRY
Title SpringerLink ebooks - Mathematics and Statistics (Archive)
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783540179238
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Universitext,
9 (RLIN) 5549
856 40 - ELECTRONIC LOCATION AND ACCESS
Public note Full text available from SpringerLink ebooks - Mathematics and Statistics (Archive)
910 ## - USER-OPTION DATA (OCLC)
User-option data Vendor-generated brief record
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Source of classification or shelving scheme Damaged status Not for loan Koha item type Date acquired Current Location Withdrawn status Total Checkouts Barcode Lost status Shelving location Full call number Date last seen Cost, normal purchase price Total Renewals Permanent Location Price effective from Cost, replacement price Source of acquisition Date checked out
   Books2015-08-19Central Library, IISER Bhopal 86998 General Section516.36 G138R32021-03-121030.272Central Library, IISER Bhopal2015-08-191287.84312021-03-12



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