Weyl tensor
measure of the curvature of a pseudo-Riemannian manifold
| rdfs:label |
"Weyl tensor"@en
|
|
skos:alt |
"Weyl curvature"@en
"Weyl curvature tensor"@en
|
| schema:description |
"measure of the curvature of a pseudo-Riemannian manifold"@en
|
|
schema:date |
"2026-09-06T08:33:43+00:00"^^xsd:dateTime |
| schema:version | 2540965431 |
| wikibase:identifiers | 6 |
| wikibase:sitelinks | 10 |
| wikibase:statements | 11 |
| p:P10283 | wd:statement/Q869108-F94FD90F-8A27-429C-833B-0A7384C02F34 |
| p:P10376 | wd:statement/Q869108-7e3414cd-4063-1081-5617-103eeca74879 |
| p:P138 | wd:statement/Q869108-216b14ec-4173-8a9b-6e54-66a85a28a2bb |
| p:P2534 | wd:statement/Q869108-C2F8CE45-4709-4FB6-B49F-3E9355321D4D |
| p:P279 | wd:statement/Q869108-ba1deded-44d4-63b8-a6e1-b6b408fe5bfa |
| p:P2812 | wd:statement/Q869108-35021ac9-4349-49ed-bcd4-c172989e2c3e |
| p:P31 | wd:statement/Q869108-752e81cc-4f69-fba7-ece6-fcf21465d673 |
| p:P4215 | wd:statement/Q869108-A607ADF7-13A6-4522-8859-B2FA1741428D |
| p:P6104 | wd:statement/Q869108-CE330809-1737-4F1D-96D5-1436CF81D132 |
| p:P6366 | wd:statement/Q869108-3CBB58C3-1459-436C-AF42-94BD3CD3786E |
| p:P646 | wd:statement/Q869108-FFD18453-E276-46E8-97B5-755867EBCB1C |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C198959055" |
| wdt:P10376 | "mathematics/weyl-tensor" |
| wdt:P138 | Hermann Weyl |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi><mi>ℓ</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi><mi>ℓ</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">−</mo><mn>2</mn></mrow></mrow></mfrac></mrow><mo stretchy="false">(</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>m</mi></mrow></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>ℓ</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ℓ</mi></mrow></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>ℓ</mi></mrow></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>m</mi></mrow></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ℓ</mi></mrow></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">−</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">−</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow><mi>R</mi><mo stretchy="false">(</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ℓ</mi></mrow></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">−</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>m</mi></mrow></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>ℓ</mi></mrow></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | tensor |
| wdt:P2812 | "WeylTensor" |
| wdt:P31 | mathematical concept |
| wdt:P4215 | "Weyl tensor" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "198959055" |
| wdt:P646 | "/m/03_gcm" |
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