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A panoramic view of Riemannian geometry
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Old and New Euclidean Geometry and Analysis
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Chapter 2
Transition: The Need for a More General Framework
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Chapter 3
Surfaces from Gauß to Today
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Chapter 4
Riemann’s Blueprints for Architecture in Myriad Dimensions
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Chapter 5
A One Page Panorama
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Chapter 6
Riemannian Manifolds as Metric Spaces and the Geometric Meaning of Sectional and Ricci Curvature
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Chapter 7
Volumes and Inequalities on Volumes of Cycles
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Chapter 8
Transition: The Next Two Chapters
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Chapter 9
Riemannian Manifolds as Quantum Mechanical Worlds: The Spectrum and Eigenfunctions of the Laplacian
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Chapter 10
Riemannian Manifolds as Dynamical Systems: the Geodesic Flow and Periodic Geodesics
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Chapter 11
What is the Best Riemannian Metric on a Compact Manifold?
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Chapter 12
From Curvature to Topology
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Chapter 13
Holonomy Groups and Kähler Manifolds
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Chapter 14
Some Other Important Topics
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Chapter 15
The Technical Chapter
Overall attention for this book and its chapters
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Mentioned by
twitter
2
X users
syllabi
6
institutions with syllabi
wikipedia
20
Wikipedia pages
Citations
dimensions_citation
306
Dimensions
Readers on
mendeley
41
Mendeley
citeulike
1
CiteULike
Book overview
1. Old and New Euclidean Geometry and Analysis
2. Transition: The Need for a More General Framework
3. Surfaces from Gauß to Today
4. Riemann’s Blueprints for Architecture in Myriad Dimensions
5. A One Page Panorama
6. Riemannian Manifolds as Metric Spaces and the Geometric Meaning of Sectional and Ricci Curvature
7. Volumes and Inequalities on Volumes of Cycles
8. Transition: The Next Two Chapters
9. Riemannian Manifolds as Quantum Mechanical Worlds: The Spectrum and Eigenfunctions of the Laplacian
10. Riemannian Manifolds as Dynamical Systems: the Geodesic Flow and Periodic Geodesics
11. What is the Best Riemannian Metric on a Compact Manifold?
12. From Curvature to Topology
13. Holonomy Groups and Kähler Manifolds
14. Some Other Important Topics
15. The Technical Chapter
Summary
X
Syllabi
Wikipedia
Dimensions citations
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
9
syllabi from
6
institutions on Open Syllabus Project.
Institution
Syllabi count
Course subject areas covered
University of Pennsylvania
4
Business, Computer Science
North Bengal University
1
Unknown
Ruprecht-Karls-Universität Heidelberg
1
Biology, Education
Universität Köln
1
Unknown
University of Leicester
1
Medicine
Wesleyan University
1
Unknown