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...

any fiber bundle associated to P {\displaystyle P} via the associated bundle construction. In particular, on any associated vector bundle the principal...

In mathematics, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product X × G {\displaystyle...

In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally...

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...

theory is the general study of connections on vector bundles, principal bundles, and fibre bundles. Gauge theory in mathematics should not be confused...

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...

which two such bundles are isomorphic. The theorem is important in the associated bundle construction where one starts with a given bundle and surgically...

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...

geometry, a stable principal bundle is a generalisation of the notion of a stable vector bundle to the setting of principal bundles. The concept of stability...

In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X...

some composite bundle E → P / H → X {\displaystyle E\to P/H\to X} , where E → P / H {\displaystyle E\to P/H} is some associated bundle to P → P / H {\displaystyle...

be extended to an arbitrary vector bundle, and to some principal fiber bundles. This metric is often called a bundle metric, or fibre metric. If M is a...

algebra bundle is a vector bundle. Examples include the tensor-algebra bundle, exterior bundle, and symmetric bundle associated to a given vector bundle, as...

a density is a section of a certain line bundle, called the density bundle. An element of the density bundle at x is a function that assigns a volume...

phenomena associated with the derivatives of maps, particularly those associated with the calculus of variations. Consequently, the jet bundle is now recognized...

mathematics, an adjoint bundle is a vector bundle naturally associated with any smooth principal bundle. The fibers of the adjoint bundle carry a Lie algebra...

A tangent bundle is the collection of all of the tangent spaces for all points on a manifold, structured in a way that it forms a new manifold itself....

bundle of an associated bundle is the bundle associated to the dual representation of the structure group. The dual bundle of the tangent bundle of a differentiable...

H} -bundle Q {\displaystyle Q} and an isomorphism ϕ Q : Q × H G → P {\displaystyle \phi _{Q}\colon Q\times _{H}G\to P} of the associated bundle to the...

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...

Humble Bundle, Inc. is a digital storefront for video games, which grew out of its original offering of Humble Bundles, collections of games sold at a...

RBBB with associated first degree AV block RBBB with associated tachycardia RBBB Bundle branch block Intraventricular block Left bundle branch block...

on the frame bundle of a manifold or the induced connection on any associated bundle — such a connection is equivalently given by a Cartan connection for...

the conformal group (see associated bundle). The term tractor is a portmanteau of "Tracy Thomas" and "twistor", the bundle having been introduced first...

the associated bundle construction. The Borel–Weil–Bott theorem says that all representations of G arise as the cohomologies of such line bundles. If...

concept of a principal connection, in which the geometry of the principal bundle is tied to the geometry of the base manifold using a solder form. Cartan...

especially in Pennsylvania Dutch Country. Bundling is associated with the Amish as a form of courtship. Bundling, or "bed courting", is believed to have...

the associated bundle O ⁡ ( M ) × σ + { − 1 , + 1 } {\displaystyle \operatorname {O} (M)\times _{\sigma _{+}}\{-1,+1\}} where O(M) is the bundle of pseudo-orthogonal...

In mathematics, the tautological bundle is a vector bundle occurring over a Grassmannian in a natural tautological way: for a Grassmannian of k {\displaystyle...