The Riemannian Structure of Shape Spaces
David G. Kendall, D. Barden, T. K. Carne, Hoanh-Su Le
Abstract
David G. Kendall, D. Barden, T. K. Carne, Hoanh-Su Le
Abstract
The prelims comprise: The Riemannian metric The Riemannian curvature tensor The metric re-expressed through natural local vector fields The Riemannian curvature tensor
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The prelims comprise: The Riemannian metric The Riemannian curvature tensor The metric re-expressed through natural local vector fields The Riemannian curvature tensor
Key concepts: Fundamental theorem of Riemannian geometry, Riemann curvature tensor, Curvature of Riemannian manifolds, Levi-Civita connection, Scalar curvature, Ricci curvature, Curvature, Pure mathematics