Ricci curvature (Q2012): Difference between revisions

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Property / instance of
 
Property / instance of: tensor field / rank
 
Normal rank
Property / named after
 
Property / named after: Gregorio Ricci-Curbastro / rank
 
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Property / Freebase ID
 
/m/01pdpm
Property / Freebase ID: /m/01pdpm / rank
 
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Property / Freebase ID: /m/01pdpm / reference
 
stated in: Freebase Data Dumps
publication date: 28 October 2013
Timestamp+2013-10-28T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 day
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Property / MathWorld ID
 
RicciCurvatureTensor
Property / MathWorld ID: RicciCurvatureTensor / rank
 
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Property / nLab ID
 
Ricci curvature
Property / nLab ID: Ricci curvature / rank
 
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Property / time of discovery or invention
 
1900s
Timestamp+1900-00-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision10 years
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Property / time of discovery or invention: 1900s / rank
 
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Property / discoverer or inventor
 
Property / discoverer or inventor: Gregorio Ricci-Curbastro / rank
 
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Property / defining formula
 

\operatorname{Ric}(X,Y)= \operatorname{tr}(\operatorname{Riem}(X,-)Y)
Property / defining formula: / rank
 
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Property / Microsoft Academic ID
 
12089564
Property / Microsoft Academic ID: 12089564 / rank
 
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Property / OpenAlex ID
 
C12089564
Property / OpenAlex ID: C12089564 / rank
 
Normal rank
Property / OpenAlex ID: C12089564 / reference
 
stated in: OpenAlex
retrieved: 26 January 2022
Timestamp+2022-01-26T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 day
Before0
After0

reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
Property / ScienceDirect topic ID
 
mathematics/ricci-tensor
Property / ScienceDirect topic ID: mathematics/ricci-tensor / rank
 
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Property / in defining formula
 

\operatorname{Ric}
Property / in defining formula: / rank
 
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Property / in defining formula: / qualifier
 
Property / in defining formula
 

\operatorname{Riem}
Property / in defining formula: / rank
 
Normal rank
Property / in defining formula: / qualifier
 
Property / PlanetMath ID
 
RicciTensor
Property / PlanetMath ID: RicciTensor / rank
 
Normal rank

Latest revision as of 15:18, 29 July 2024

2-tensor obtained as a contraction of the Riemann curvature 4-tensor on a Riemannian manifold (or, more generally, a smooth manifold equipped with affine connection)
  • Ricci curvature tensor
  • Ricci tensor
Language Label Description Also known as
English
Ricci curvature
2-tensor obtained as a contraction of the Riemann curvature 4-tensor on a Riemannian manifold (or, more generally, a smooth manifold equipped with affine connection)
  • Ricci curvature tensor
  • Ricci tensor

Statements

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1900s
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Identifiers

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/m/01pdpm
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RicciCurvatureTensor
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Ricci curvature
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12089564
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mathematics/ricci-tensor
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RicciTensor
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