Levi-Civita connection (Q2938): Difference between revisions

@@ Property / Freebase ID @@
+/m/01k_nn
@@ Property / Freebase ID: /m/01k_nn / rank @@
+Normal rank
@@ Property / Freebase ID: /m/01k_nn / 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 / subclass of @@
+vector bundle connection
@@ Property / subclass of: vector bundle connection / rank @@
+Normal rank
@@ Property / subclass of @@
+affine connection
@@ Property / subclass of: affine connection / rank @@
+Normal rank
@@ Property / named after @@
+Tullio Levi-Civita
@@ Property / named after: Tullio Levi-Civita / rank @@
+Normal rank
@@ Property / defining formula @@
+ ${\begin{aligned}\nabla g&=0\\\nabla _{X}Y-\nabla _{Y}X&=[X,Y]\end{aligned}}$ 
\begin{aligned}\nabla g &= 0 \\ \nabla_XY-\nabla_YX&=[X,Y]\end{aligned}
+Normal rank
@@ Property / MathWorld ID @@
+Levi-CivitaConnection
@@ Property / MathWorld ID: Levi-CivitaConnection / rank @@
+Normal rank
@@ Property / MathWorld ID: Levi-CivitaConnection / reference @@
+imported from Wikimedia project: Spanish Wikipedia
@@ Property / Microsoft Academic ID @@
+129049296
@@ Property / Microsoft Academic ID: 129049296 / rank @@
+Normal rank
@@ Property / nLab ID @@
+Levi-Civita connection
@@ Property / nLab ID: Levi-Civita connection / rank @@
+Normal rank
@@ Property / OpenAlex ID @@
+C129049296
@@ Property / OpenAlex ID: C129049296 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C129049296 / 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 / in defining formula @@
+ $\nabla$ 
\nabla
@@ Property / in defining formula: $\nabla$ / rank @@
+Normal rank
@@ Property / in defining formula: $\nabla$ / qualifier @@
+symbol represents: Levi-Civita connection
@@ Property / in defining formula @@
+ $g$ 
g
@@ Property / in defining formula: $g$ / rank @@
+Normal rank
@@ Property / in defining formula: $g$ / qualifier @@
+symbol represents: Riemannian metric
@@ Property / in defining formula @@
+ $[-,-]$ 
[-,-]
@@ Property / in defining formula: $[-,-]$ / rank @@
+Normal rank
@@ Property / in defining formula: $[-,-]$ / qualifier @@
+symbol represents: Lie derivative
@@ Property / in defining formula @@
+ $X$ 
X
@@ Property / in defining formula: $X$ / rank @@
+Normal rank
@@ Property / in defining formula: $X$ / qualifier @@
+symbol represents: vector field
@@ Property / in defining formula @@
+ $Y$ 
Y
@@ Property / in defining formula: $Y$ / rank @@
+Normal rank
@@ Property / in defining formula: $Y$ / qualifier @@
+symbol represents: vector field