Metric Tensor — 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 34 | Examples for Riemannian Manifolds
Riemannian manifolds gain their geometry from a smoothly varying inner product on each tangent space, and the most practical way to build that...
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...