An edition of A Panoramic View of Riemannian Geometry (2003)

A Panoramic View of Riemannian Geometry

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Cover of: A Panoramic View of Riemannian Geometry by Marcel Berger
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July 6, 2019 | History
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An edition of A Panoramic View of Riemannian Geometry (2003)

A Panoramic View of Riemannian Geometry

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Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann.

Publish Date
Publisher
Springer Berlin Heidelberg
Language
English
Pages
824

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Previews available in: English

Subjects
Global differential geometry, Mathematics

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Edition Availability
Cover of: A Panoramic View of Riemannian Geometry
A Panoramic View of Riemannian Geometry
2003, Springer Berlin Heidelberg
electronic resource / in English
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Book Details

Table of Contents

From the contents: Euclidean Geometry and Analysis: Old but also Some New
Gauss' Contributions on Surfaces and also some more Recent Things
What Riemann Did and Other Things
Metric Properties of Riemannian Manifolds and the Geometric Meaning of Sectional and Ricci Curvature
Volumes and Isoic Type Inequalities in Riemannian Manifolds
Riemannian Manifolds as Quantum Mechanic Objects: The Spectrum and the Eigenfunctions of Laplacian
The Search for Distinguished Metrics: What is the Best Riemannian Metric on a Given Compact Manifold?
From Curvature to Topology
Global Parallel Transport and another Riemannian Hierarchy: Holonomy Groups and Kähler Manifolds
Some other important Topics
The Technical chapter.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg

Classifications

Dewey Decimal Class
516.36
Library of Congress
QA641-670

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xlvi, 824 p.)
Number of pages
824

ID Numbers

Open Library
OL27079617M
Internet Archive
panoramicviewrie00berg_862
ISBN 10
364262121X, 3642182453
ISBN 13
9783642621215, 9783642182457
OCLC/WorldCat
851821086

Source records

Internet Archive item record
Better World Books record
Better World Books record

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July 6, 2019 Created by MARC Bot import new book