Keywords

#riemannian_geometry

Riemannian geometry

Branch of differential geometry

Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric. This gives, in particular, local notions of angle, length of curves, surface area and volume. From those, some other global quantities can be derived by integrating local contributions.

Thu 15th

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Riemannian geometry Pseudo-Riemannian manifold Riemannian manifold Differential geometry Exponential map (Riemannian geometry) Elliptic geometry Sub-Riemannian manifold Geometry Glossary of Riemannian and metric geometry List of formulas in Riemannian geometry
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