$#A+1 = 5 n = 0
$#C+1 = 5 : ~/encyclopedia/old_files/data/E036/E.0306330 Euclidean connection
2 KB (251 words) - 19:38, 5 June 2020
...finitesimal connection $\Gamma$ is given. It is also defined for any fibre bundle $E$ associated to $P$ whose fibres are copies of some representation space
...hisms form a Lie group $\Phi_x$, which is called the holonomy group of the connection $\Gamma$ at $x$.
3 KB (540 words) - 15:11, 19 November 2023
$#A+1 = 24 n = 0
$#C+1 = 24 : ~/encyclopedia/old_files/data/S091/S.0901810 Symplectic connection
2 KB (338 words) - 02:36, 14 September 2022
...group $G$ and defined by the [[Connection form|connection form]] $\theta$ on $P$ by the formula
...s a measure of the deviation of the given connection from the locally flat connection characterized by the condition $\Omega\equiv0$. It satisfies the Bianchi id
913 bytes (134 words) - 15:07, 19 November 2023
...ntal spaces of $\Gamma$. Hence $\Gamma$ is an $m$-dimensional distribution on $Y$.
There are three main ways to interpret an Ehresmann connection $\Gamma$:
6 KB (926 words) - 16:46, 1 July 2020
$#A+1 = 47 n = 0
A smooth distribution on a smooth fibre bundle $ E $
3 KB (524 words) - 17:36, 13 January 2021
$#A+1 = 62 n = 0
A Hermitian metric on a complex vector space $ V $
4 KB (681 words) - 03:41, 21 March 2022
$#A+1 = 73 n = 0
...c structures studied in classical differential geometry. It is defined for a given differentiable manifold $ M ^ {n} $
6 KB (860 words) - 17:33, 5 June 2020
$#A+1 = 79 n = 0
$#C+1 = 79 : ~/encyclopedia/old_files/data/N067/N.0607090 Non\AAhlinear connection
7 KB (1,089 words) - 12:15, 18 February 2022
$#A+1 = 41 n = 0
$#C+1 = 41 : ~/encyclopedia/old_files/data/C025/C.0205170 Connection object
4 KB (598 words) - 17:46, 4 June 2020
$#A+1 = 67 n = 0
$#C+1 = 67 : ~/encyclopedia/old_files/data/C025/C.0205150 Connection form
5 KB (683 words) - 14:33, 21 March 2022
$#A+1 = 75 n = 0
$#C+1 = 75 : ~/encyclopedia/old_files/data/L059/L.0509140 Linear connection
6 KB (870 words) - 22:17, 5 June 2020
$#A+1 = 122 n = 0
$#C+1 = 122 : ~/encyclopedia/old_files/data/C025/C.0205180 Connections on a manifold
9 KB (1,365 words) - 18:18, 19 January 2021
$#A+1 = 87 n = 0
...restricting the principal fibres of frames. The process of canonization of a frame is included in the method of prolongations and restrictions.
7 KB (1,000 words) - 01:15, 19 March 2022
$#A+1 = 120 n = 0
$#C+1 = 120 : ~/encyclopedia/old_files/data/C024/C.0204730 Conformal connection
11 KB (1,486 words) - 17:46, 4 June 2020
An auxiliary field, not physical and known as a ghost field, which was introduced in the quantization procedure of non-Abel
...a } ( x ) T _ { a }$ (respectively, $\overline { c } = \overline { c } ^ { a } ( x ) T_a $). Although the Faddeev–Popov ghosts anti-commute, they are
8 KB (1,181 words) - 20:50, 24 January 2021
$#A+1 = 66 n = 0
''on an $ n $-
6 KB (923 words) - 17:42, 6 January 2024
...d R.L. Mills [[#References|[a2]]]. The circle group is thereby replaced by a non-Abelian compact [[Lie group|Lie group]] dictated by the (observed class
...{ M } \langle F _ { A } \wedge * F _ { A } \rangle$ to any connection $A$ on $\xi $; here $*$ refers to the Hodge star operator (cf. also [[Laplace oper
7 KB (1,013 words) - 16:45, 1 July 2020
$#A+1 = 198 n = 0
$#C+1 = 198 : ~/encyclopedia/old_files/data/C025/C.0205140 Connection
17 KB (2,530 words) - 19:28, 17 January 2024
$#A+1 = 65 n = 0
A conformal structure on a vector space $ V $
6 KB (864 words) - 17:46, 4 June 2020