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Differential Geometry: Curves - Surfaces - Manifolds, Second edition

About this Title

Wolfgang Kühnel, University of Stuttgart, Stuttgart, Germany. Translated by Bruce Hunt

Publication: The Student Mathematical Library
Publication Year 2002: Volume 16
ISBN: 978-0-8218-3988-1 (print)
DOI: http://dx.doi.org/10.1090/stml/016
MathSciNet review: MR1882174
MSC: Primary 53-01

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Table of Contents

Chapters

• Chapter 1. Notations and prerequisites from analysis
• Chapter 2. Curves in $\mathbb {R}^n$
• Chapter 3. The local theory of surfaces
• Chapter 4. The intrinsic geometry of surfaces
• Chapter 5. Riemannian manifolds
• Chapter 6. The curvature tensor
• Chapter 7. Spaces of constant curvature
• Chapter 8. Einstein spaces