In differential geometry, the term curvature tensor may refer to:
- the Riemann curvature tensor of a Riemannian manifold — see also Curvature of Riemannian manifolds;
- the curvature of an affine connection or covariant derivative (on tensors);
- the curvature form of an Ehresmann connection: see Ehresmann connection, connection (principal bundle) or connection (vector bundle). It is one of the numbers that are important in the Einstein field equations.
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Tensor Calculus Lecture 8: Embedded Surfaces and the Curvature Tensor
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Classroom Aid - Riemannian Curvature Tensor
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General Relativity, Lecture 10: Curvature. Riemann Tensor. Ricci Tensor.
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This page was last edited on 14 November 2023, at 07:37