- induced bundle
- мат.индуцированное расслоение
English-Russian scientific dictionary. 2008.
induced bundle
Смотреть что такое "induced bundle" в других словарях:
Induced representation — In mathematics, and in particular group representation theory, the induced representation is one of the major general operations for passing from a representation of a subgroup H to a representation of the (whole) group G itself. It was initially … Wikipedia
Bundle map — In mathematics, a bundle map (or bundle morphism) is a morphism in the category of fiber bundles. There are two distinct, but closely related, notions of bundle map, depending on whether the fiber bundles in question have a common base space.… … Wikipedia
Pullback bundle — In mathematics, a pullback bundle or induced bundle is a useful construction in the theory of fiber bundles. Given a fiber bundle pi; : E rarr; B and a continuous map f : B prime; rarr; B one can define a pullback of E by f as a bundle f * E over … Wikipedia
Banach bundle — In mathematics, a Banach bundle is a vector bundle each of whose fibres is a Banach space, i.e. a complete normed vector space, possibly of infinite dimension.Definition of a Banach bundleLet M be a Banach manifold of class C p with p ≥ 0, called … Wikipedia
Tangent bundle — In mathematics, the tangent bundle of a smooth (or differentiable) manifold M , denoted by T ( M ) or just TM , is the disjoint unionThe disjoint union assures that for any two points x 1 and x 2 of manifold M the tangent spaces T 1 and T 2 have… … Wikipedia
Connection (vector bundle) — This article is about connections on vector bundles. See connection (mathematics) for other types of connections in mathematics. In mathematics, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; … Wikipedia
Connection (principal bundle) — This article is about connections on principal bundles. See connection (mathematics) for other types of connections in mathematics. In mathematics, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way … Wikipedia
Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… … Wikipedia
Clifford bundle — In mathematics, a Clifford bundle is an algebra bundle whose fibers have the structure of a Clifford algebra and whose local trivializations respect the algebra structure. There is a natural Clifford bundle associated to any (pseudo) Riemannian… … Wikipedia
Unit tangent bundle — In mathematics, the unit tangent bundle of a Finsler manifold ( M , || . ||), denoted by UT( M ) or simply UT M , is a fiber bundle over M given by the disjoint union:mathrm{UT} (M) := coprod {x in M} left{ v in mathrm{T} {x} (M) left| | v | {x} … Wikipedia
Jet bundle — In differential geometry, the jet bundle is a certain construction which makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to write differential equations on sections of a fiber bundle in an invariant… … Wikipedia
