Category:Riemannian geometry
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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.
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Riemannian geometry"
The following 87 pages are in this category, out of 87 total.
C
- Cartan–Karlhede algorithm
- Cheeger constant
- Christoffel symbols
- Clifford bundle
- Clifford module bundle
- Collapsing manifold
- Geodesic manifold
- Conformal map
- Conformally flat manifold
- Conjugate points
- Constant curvature
- Constraint counting
- Cotton tensor
- Covariance and contravariance of vectors
- Curvature invariant
- Curved space