Riemannian Geometry
Author:   Peter Petersen
Publisher:   Springer International Publishing AG
Edition:   3rd ed. 2016
Volume:   171
ISBN:  

9783319266527


Pages:   499
Publication Date:   31 March 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Riemannian Geometry


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Full Product Details

Author:   Peter Petersen
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   3rd ed. 2016
Volume:   171
Dimensions:   Width: 15.50cm , Height: 3.20cm , Length: 23.50cm
Weight:   9.927kg
ISBN:  

9783319266527


ISBN 10:   3319266527
Pages:   499
Publication Date:   31 March 2016
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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.

Reviews

This is a very advanced textbook on metric and algebraic proofs of critical theorems in the field of metric spaces involving manifolds and other 3D structures. ... First, definitions, theorems, proofs, and exercises abound throughout every section of this 500 page mathematics book. The history of development in the area is comprehensive. ... The experts will find this a useful research tool. ... I recommend this book for researchers having a strong background to begin with. (Joseph J. Grenier, Amazon.com, June, 2016)


Author Information

Peter Petersen is a Professor of Mathematics at UCLA. His current research is on various aspects of Riemannian geometry. Professor Petersen has authored two important textbooks for Springer: Riemannian Geometry in the GTM series and Linear Algebra in the UTM series.

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