Einstein Summation — Topic Summaries
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Manifolds 26 | Ricci Calculus
Ricci (tensor) calculus is introduced as a coordinate-based toolkit for doing differentiation and integration on manifolds—especially useful in...
Manifolds 26 | Ricci Calculus [dark version]
Ricci calculus—often called tensor calculus—is presented as a coordinate-based shorthand for doing differential geometry on manifolds. The central...
Manifolds 33 | Riemannian Metrics [dark version]
Riemannian geometry starts by turning an abstract smooth manifold into a space where distance, lengths, and angles actually make sense. The key move...