Contents
- Smooth Manifolds
- Smooth Manifolds, Submanifolds
- Smooth Mappings between Smooth Manifolds
- Bump Functions and Partitions of Unity
- Tangent Spaces
- Derivatives of Smooth Maps
- Vector Fields on Smooth Manifolds, The Lie Bracket
- Affine Connections on Smooth Manifolds
- Vector Fields along Smooth Maps
- Covariant Differentiation of Vector Fields along Curves
- Vector Fields along Parameterized Surfaces
- Riemannian Manifolds
- The Levi-Civita Connection
- Geometry of Surfaces in R 3
- Geodesics in Riemannian Manifolds
- Length-Minimizing Curves in Riemannian Manifolds
- Geodesic Spheres and Gauss’ Lemma
- Complete Riemannian Manifolds
- Local Isometries and Covering Maps
- Jacobi Fields
- Flat Riemannian manifolds
- The Cartan-Hadamard Theorem, The Second Variation of Energy
| Description : | Download A Course in Riemannian Geometry course, Free book by David R. Wilkins. |
| Level : | Beginners |
| Created : | March 30, 2016 |
| Size : | 429.77 KB |
| File type : | |
| Pages : | 72 |
| Author : | David R. Wilkins |
| Downloads: | 210 |
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