Ricci curvature (Q2012): Difference between revisions

@@ Property / instance of @@
+tensor field
@@ Property / instance of: tensor field / rank @@
+Normal rank
@@ Property / named after @@
+Gregorio Ricci-Curbastro
@@ Property / named after: Gregorio Ricci-Curbastro / rank @@
+Normal rank
@@ Property / Freebase ID @@
+/m/01pdpm
@@ Property / Freebase ID: /m/01pdpm / rank @@
+Normal rank
@@ Property / Freebase ID: /m/01pdpm / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / MathWorld ID @@
+RicciCurvatureTensor
@@ Property / MathWorld ID: RicciCurvatureTensor / rank @@
+Normal rank
@@ Property / nLab ID @@
+Ricci curvature
@@ Property / nLab ID: Ricci curvature / rank @@
+Normal rank
@@ Property / time of discovery or invention @@
+sTimestamp +1900-00-00T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 10 years
Before 0
After 0
-Timestamp
++1900-00-00T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+years
 Before
 After
@@ Property / time of discovery or invention: 1900s / rank @@
+Normal rank
@@ Property / discoverer or inventor @@
+Gregorio Ricci-Curbastro
@@ Property / discoverer or inventor: Gregorio Ricci-Curbastro / rank @@
+Normal rank
@@ Property / defining formula @@
+ $\operatorname {Ric} (X,Y)=\operatorname {tr} (\operatorname {Riem} (X,-)Y)$ 
\operatorname{Ric}(X,Y)= \operatorname{tr}(\operatorname{Riem}(X,-)Y)
+Normal rank
@@ Property / Microsoft Academic ID @@
+12089564
@@ Property / Microsoft Academic ID: 12089564 / rank @@
+Normal rank
@@ Property / OpenAlex ID @@
+C12089564
@@ Property / OpenAlex ID: C12089564 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C12089564 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / ScienceDirect topic ID @@
+mathematics/ricci-tensor
@@ Property / ScienceDirect topic ID: mathematics/ricci-tensor / rank @@
+Normal rank
@@ Property / in defining formula @@
+ $\operatorname {Ric}$ 
\operatorname{Ric}
@@ Property / in defining formula: $\operatorname {Ric}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\operatorname {Ric}$ / qualifier @@
+symbol represents: Ricci curvature
@@ Property / in defining formula @@
+ $\operatorname {Riem}$ 
\operatorname{Riem}
@@ Property / in defining formula: $\operatorname {Riem}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\operatorname {Riem}$ / qualifier @@
+symbol represents: Riemann curvature tensor
@@ Property / PlanetMath ID @@
+RicciTensor
@@ Property / PlanetMath ID: RicciTensor / rank @@
+Normal rank

Latest revision as of 16:18, 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