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In differential geometry, Riemannian geometry is the study of smooth manifolds with Riemannian metrics; i.e. a choice of positive-definite quadratic form on a manifold's tangent spaces which varies smoothly from point to point. This gives in particular local ideas of angle, length of curves, and volume. From those some other global quantities can be derived, by integrating local contributions.
This category has the following 8 subcategories, out of 8 total.
Pages in category "Riemannian geometry"
The following 124 pages are in this category, out of 124 total. This list may not reflect recent changes (learn more).