Nonlinear analysis on manifolds, Monge-Ampère equations

@inproceedings{Aubin1982NonlinearAO,
  title={Nonlinear analysis on manifolds, Monge-Amp{\`e}re equations},
  author={Thierry Aubin},
  year={1982}
}
1 Riemannian Geometry.- 1. Introduction to Differential Geometry.- 1.1 Tangent Space.- 1.2 Connection.- 1.3 Curvature.- 2. Riemannian Manifold.- 2.1 Metric Space.- 2.2 Riemannian Connection.- 2.3 Sectional Curvature. Ricci Tensor. Scalar Curvature.- 2.4 Parallel Displacement. Geodesic.- 3. Exponential Mapping.- 4. The Hopf-Rinow Theorem.- 5. Second Variation of the Length Integral.- 5.1 Existence of Tubular Neighborhoods.- 5.2 Second Variation of the Length Integral.- 5.3 Myers' Theorem.- 6… Expand
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