Coverart for item
The Resource Riemannian Geometry, by Peter Petersen, (electronic resource)

Riemannian Geometry, by Peter Petersen, (electronic resource)

Label
Riemannian Geometry
Title
Riemannian Geometry
Statement of responsibility
by Peter Petersen
Creator
Subject
Language
eng
Summary
Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few Works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory. The book will appeal to a readership that have a basic knowledge of standard manifold theory, including tensors, forms, and Lie groups. Important revisions to the third edition include: a substantial addition of unique and enriching exercises scattered throughout the text; inclusion of an increased number of coordinate calculations of connection and curvature; addition of general formulas for curvature on Lie Groups and submersions; integration of variational calculus into the text allowing for an early treatment of the Sphere theorem using a proof by Berger; incorporation of several recent results about manifolds with positive curvature; presentation of a new simplifying approach to the Bochner technique for tensors with application to bound topological quantities with general lower curvature bounds. From reviews of the first edition: "The book can be highly recommended to all mathematicians who want to get a more profound idea about the most interesting achievements in Riemannian geometry. It is one of the few comprehensive sources of this type." ―Bernd Wegner, ZbMATH
Member of
http://library.link/vocab/creatorDate
1962-
http://library.link/vocab/creatorName
Petersen, Peter
Image bit depth
0
Literary form
non fiction
Series statement
Graduate Texts in Mathematics,
Series volume
171
http://library.link/vocab/subjectName
  • Mathematics
  • Differential geometry
Label
Riemannian Geometry, by Peter Petersen, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-26654-1
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- 1. Riemannian Metrics.-2. Derivatives -- 3. Curvature -- 4. Examples -- 5. Geodesics and Distance -- 6. Sectional Curvature Comparison I.- 7. Ricci Curvature Comparison.- 8. Killing Fields -- 9. The Bochner Technique -- 10. Symmetric Spaces and Holonomy -- 11. Convergence -- 12. Sectional Curvature Comparison II -- Bibliography -- Index
Control code
978-3-319-26654-1
Dimensions
unknown
Edition
3rd ed. 2016.
Extent
1 online resource (xviii, 499 pages)
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319266541
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-26654-1
Other physical details
50 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)945365475
Label
Riemannian Geometry, by Peter Petersen, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-26654-1
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- 1. Riemannian Metrics.-2. Derivatives -- 3. Curvature -- 4. Examples -- 5. Geodesics and Distance -- 6. Sectional Curvature Comparison I.- 7. Ricci Curvature Comparison.- 8. Killing Fields -- 9. The Bochner Technique -- 10. Symmetric Spaces and Holonomy -- 11. Convergence -- 12. Sectional Curvature Comparison II -- Bibliography -- Index
Control code
978-3-319-26654-1
Dimensions
unknown
Edition
3rd ed. 2016.
Extent
1 online resource (xviii, 499 pages)
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319266541
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-26654-1
Other physical details
50 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)945365475

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