Curvature symmetries (Q5946227)
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scientific article; zbMATH DE number 1658528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Curvature symmetries |
scientific article; zbMATH DE number 1658528 |
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Curvature symmetries (English)
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18 March 2004
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This paper is the new section 5 of the author's paper ``Affine connection complexes'', which appeared ibid. 59, 215-227 (1999; Zbl 0956.53014). Here is given the proof of Proposition 5.4.: The Riemannian curvature tensor \(R(g)\in\otimes^4\varepsilon\) of any Riemannian manifold \((M,g)\) is a symmetric element of the submodule \(A^2\varepsilon\otimes A^2\varepsilon\otimes^4\varepsilon\).
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curvature homomorphism
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Levi-Civita connection
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Riemann curvature
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