2008Wiley series in probability and statisticsRequires access

The Riemannian Structure of Shape Spaces

David G. Kendall, D. Barden, T. K. Carne, Hoanh-Su Le

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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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What this paper is about

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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Available abstract

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

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