Riemannian Geometry
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 comb...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2016, 2016
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| Edition: | 3rd ed. 2016 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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