Template:Riemannian geometry: Difference between revisions

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Revision as of 23:12, 20 December 2021

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 * [[Inner product space|Inner product]]
 * [[Metric tensor]]
-** [[Levi-Civita connection]]
+** [[Levi-Civita connection|Levi-Civita]] [[Metric connection|connection]]
 ** [[Metric signature|Signature]]
 ** [[Raising and lowering indices]]

v t e Riemannian geometry (Glossary)
Basic concepts	Curvature tensor Scalar Sectional Smooth manifold Exponential map Geodesic Inner product Metric tensor Levi-Civita connection Signature Raising and lowering indices Riemannian manifold Torsion
Types of manifolds	Hyperbolic Pseudo-Riemannian Riemannian Sub-Riemannian
Main results	Fundamental theorem of Riemannian geometry Gauss's lemma Hopf–Rinow theorem Nash embedding theorem Schur's lemma
Tensors	Covariant derivative Musical isomorphism Ricci curvature flow Riemannian volume form
Generalizations	Finsler Hermitian manifold Hilbert manifold Kenmotsu Pseudo-Riemannian manifold