theory of fiber bundles with a structure group G {\displaystyle G} (a topological group) allows an operation of creating an associated bundle, in which the...
11 KB (1,705 words) - 00:42, 23 January 2024
In mathematics, a frame bundle is a principal fiber bundle F ( E ) {\displaystyle F(E)} associated with any vector bundle E {\displaystyle E} . The fiber...
17 KB (3,035 words) - 21:35, 9 September 2024
In mathematics, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product X × G {\displaystyle...
20 KB (3,316 words) - 03:26, 28 October 2024
Gauge theory (mathematics) (section Associated bundles)
theory is the general study of connections on vector bundles, principal bundles, and fibre bundles. Gauge theory in mathematics should not be confused...
72 KB (11,468 words) - 14:27, 13 June 2024
In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally...
29 KB (4,085 words) - 13:01, 12 September 2024
any fiber bundle associated to P {\displaystyle P} via the associated bundle construction. In particular, on any associated vector bundle the principal...
20 KB (3,438 words) - 18:25, 10 October 2024
Ehresmann connection (section Associated bundles)
on any smooth fiber bundle. In particular, it does not rely on the possible vector bundle structure of the underlying fiber bundle, but nevertheless, linear...
23 KB (3,155 words) - 16:33, 10 January 2024
which two such bundles are isomorphic. The theorem is important in the associated bundle construction where one starts with a given bundle and surgically...
5 KB (677 words) - 10:34, 19 September 2021
gauge theory, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify...
45 KB (8,674 words) - 19:49, 24 October 2024
Look up bundle in Wiktionary, the free dictionary. Bundle or Bundling may refer to: Bundling (packaging), the process of using straps to bundle up items...
2 KB (331 words) - 01:00, 21 June 2023