Christoffel symbol

in Riemannian geometry, the coefficient of the Levi-Civita connection of a Riemannian metric
rdfs:label
"Christoffel symbol"@en
skos:altLabel
"Christoffel symbols"@en
schema:description
"in Riemannian geometry, the coefficient of the Levi-Civita connection of a Riemannian metric"@en
schema:dateModified "2026-09-12T12:16:39+00:00"^^xsd:dateTime
schema:version 2544529799
wikibase:identifiers 14
wikibase:sitelinks 28
wikibase:statements 25
p:P10037 wd:statement/Q847816-f0642fd3-4f2f-c91e-d479-5b1dcb890add
p:P10283 wd:statement/Q847816-11928B70-1400-47E1-98E5-6DEEA416EA36
p:P10376 wd:statement/Q847816-53770d5a-4321-8d57-9830-cc4a2c7cc89b
wd:statement/Q847816-cc95637c-4306-7b27-83c7-2ac5fd477366
p:P11514 wd:statement/Q847816-7F3CD01B-54C2-48C7-A1CF-582E93CAF45F
p:P12975 wd:statement/Q847816-1778f9cb-441a-53f8-ac0f-ca68cd13e312
p:P138 wd:statement/q847816-6999725D-823C-46D0-9368-3D7E94A3CA93
p:P2534 wd:statement/Q847816-c158b621-476f-cbf0-7327-8ec2ceee1ef2
p:P2812 wd:statement/Q847816-e1173e7b-4bc0-61d7-dc24-954c46c18961
p:P31 wd:statement/Q847816-a5e946d5-499e-e22b-6a16-8dc80ede05b6
wd:statement/Q847816-ce5377a6-4144-b445-022d-4b5286bbeb1a
p:P3417 wd:statement/Q847816-CF1FEF9B-5DEB-4E98-9494-5461B437B27E
p:P4215 wd:statement/Q847816-1d541ebb-4ddf-d5cf-358c-44c84055ab0c
p:P575 wd:statement/Q847816-53ebc4bf-4ce5-80e1-b2c8-ff3f0a714750
p:P61 wd:statement/Q847816-fc61b8ee-40bb-d5e6-295b-623d1c8e873c
p:P6104 wd:statement/Q847816-A1E9BCAC-C0D8-4463-9A88-00FE2985BA7E
p:P6366 wd:statement/Q847816-13A0B499-02E9-4B8A-9EE0-356265CD5C09
p:P646 wd:statement/Q847816-2FF99E32-944A-49D0-AD31-CCE234B17A86
p:P7235 wd:statement/Q847816-68db49f4-44a4-010d-71ef-09d3c9d1c892
wd:statement/Q847816-a9960b8f-4d5d-3efc-fca7-9c13a837b71d
wd:statement/Q847816-b19af5c4-4fe9-41c5-c654-05c395c96952
wd:statement/Q847816-c2e73c42-4649-a7b7-26c8-ff7f50f013c5
p:P7554 wd:statement/Q847816-fc6fa760-4d27-b450-d199-c1d611b77ddd
p:P7726 wd:statement/Q847816-becc456e-4450-f9af-cd97-1f22607930d2
p:P9621 wd:statement/Q847816-635490aa-46f7-b9f7-204a-f5e22b7c62aa
p:direct-normalized/P6366 <https://makg.org/entity/77850982>
wdt:P10037 "simboli-di-christoffel"
wdt:P10283 "C77850982"
wdt:P10376 "engineering/christoffel-symbol"
"mathematics/christoffel-symbol"
wdt:P11514 "simvoly-kristoffelia-7e88b1"
wdt:P12975 "1550"
wdt:P138 Elwin Bruno Christoffel
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"><msubsup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow></msubsup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi><mi>&#x03C3;</mi></mrow></mrow></msup><mo stretchy="false">(</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi><mi>&#x03C3;</mi></mrow></mrow></msub><mo stretchy="false">+</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03C3;</mi></mrow></mrow></msub><mo stretchy="false">&#x2212;</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow></msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow></msub><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2812 "ChristoffelSymbol"
wdt:P31 mathematical concept
coefficient
wdt:P3417 "Christoffel-Symbols"
wdt:P4215 "Christoffel symbols"
wdt:P575 "1869-01-01T00:00:00+00:00"^^xsd:dateTime
wdt:P61 Elwin Bruno Christoffel
wdt:P6104 WikiProject Mathematics
wdt:P6366 "77850982"
wdt:P646 "/m/04zmmw"
wdt:P7235 "<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>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><msubsup><mi mathvariant="normal">&#x0393;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><mi>&#x03BD;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow></msubsup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><msup> <mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><msub><mo stretchy="false">&#x22EF;</mo><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7554 "Christoffel_symbol"
wdt:P7726 "ChristoffelSymbols"
wdt:P9621 "simboli-di-christoffel"
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