Levi-Civita connection
the unique torsion-free affine connection that preserves a given (pseudo-)Rimannian metric
| rdfs:label |
"Levi-Civita connection"@en
|
|
skos:alt |
"קשר לוי-צ'יוויטה"@he |
| "קשר לוי-צ'יויטה"@he | |
| schema:description |
"the unique torsion-free affine connection that preserves a given (pseudo-)Rimannian metric"@en
|
|
schema:date |
"2026-10-25T15:06:41+00:00"^^xsd:dateTime |
| schema:version | 2560723703 |
| wikibase:identifiers | 6 |
| wikibase:sitelinks | 16 |
| wikibase:statements | 16 |
| p:P10283 | wd:statement/Q548675-BD37312B-1854-43ED-AC2A-49C984AF83A9 |
| p:P12975 | wd:statement/Q548675-daf5972b-4c59-04fa-cc82-1c7a8ab7fa60 |
| p:P138 | wd:statement/Q548675-4b14e9b5-4fe6-6121-082d-ec0f8ab13eff |
| p:P2534 | wd:statement/Q548675-1409A6A3-12E2-407F-B1C3-F578264FA725 |
| p:P279 | wd:statement/Q548675-2f0ba1a0-425a-25b8-f590-44f4a21628e6 |
| wd:statement/Q548675-61b890b1-4acf-16ee-1dd8-e91fad87ba24 | |
| p:P2812 | wd:statement/Q548675-7861DF64-0234-4EA5-AB5B-84F317D17307 |
| p:P4215 | wd:statement/Q548675-991240FB-B6E9-4EA0-926C-441B9351FB57 |
| p:P6104 | wd:statement/Q548675-9A00C7EE-ABC7-4F75-B44E-1AF84D3C868D |
| p:P6366 | wd:statement/Q548675-E2A12C08-BDCB-4978-AEA8-B1FF53BFDE6E |
| p:P646 | wd:statement/Q548675-F9EEED0E-A73B-4910-9A82-6FF7B98CA479 |
| p:P7235 | wd:statement/Q548675-1ffd683d-4003-f445-9dcb-d4800fabbcd9 |
| wd:statement/Q548675-889f2e9b-4953-3b11-2963-6d149a387574 | |
| wd:statement/Q548675-b1ad5280-443f-6a86-e2be-333c6a9e900d | |
| wd:statement/Q548675-be390507-4588-14d9-8674-17e9abb5b693 | |
| wd:statement/Q548675-fcaa2cd4-4870-728e-24f1-69adcb8c2996 | |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C129049296" |
| wdt:P12975 | "5918" |
| wdt:P138 | wd:Q353438 |
| 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"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><mi mathvariant="normal">∇</mi><mi>g</mi></mtd><mtd><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>X</mi></mrow></msub><mi>Y</mi><mo stretchy="false">−</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>Y</mi></mrow></msub><mi>X</mi></mtd><mtd><mo stretchy="false">=</mo><mo stretchy="false">[</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo stretchy="false">]</mo></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | wd:Q1371213 |
| wd:Q521075 | |
| wdt:P2812 | "Levi-CivitaConnection" |
| wdt:P4215 | "Levi-Civita connection" |
| wdt:P6104 | wd:Q8487137 |
| wdt:P6366 | "129049296" |
| wdt:P646 | "/m/01k_nn" |
| 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"><mi mathvariant="normal">∇</mi></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"><mi>X</mi></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"><mi>Y</mi></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"><mi>g</mi></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"><mo stretchy="false">[</mo><mo stretchy="false">−</mo><mo>,</mo><mo stretchy="false">−</mo><mo stretchy="false">]</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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