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oriented bundle

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  • Frame bundle — In mathematics, a frame bundle is a principal fiber bundle F(E) associated to any vector bundle E. The fiber of F(E) over a point x is the set of all ordered bases, or frames, for Ex. The general linear group acts naturally on F(E) via a change… …   Wikipedia

  • Circle bundle — In mathematics, an (oriented) circle bundle is an oriented fiber bundle where the fiber is the circle , or, more precisely, a principal U(1) bundle. It is homotopically equivalent to a complex line bundle. In physics, circle bundles are the… …   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

  • 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

  • Helix bundle — A helix bundle is a small protein fold composed of several alpha helices that are usually nearly parallel or antiparallel to each other. Three helix bundlesThree helix bundles are among the smallest and fastest known cooperatively folding… …   Wikipedia

  • LAMP (software bundle) — LAMP is an acronym for a solution stack of free, open source software, originally coined from the first letters of Linux (operating system), Apache HTTP Server, MySQL (database software) and Perl/PHP/Python, principal components to build a viable …   Wikipedia

  • DAMP (software bundle) — DAMP is a solution stack of computer software, usually free software or open source software, that is used to run dynamic Web sites or servers running the proprietary Darwin operating system. The acronym is derived from the original acronym LAMP …   Wikipedia

  • Capability management — is a high level integrative management function, with particular application in the context of defence. Contents 1 Overview 2 Capability management topics 2.1 Capability …   Wikipedia

  • Spin structure — In differential geometry, a spin structure on an orientable Riemannian manifold allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry. Spin structures have wide applications to mathematical …   Wikipedia

  • Seifert fiber space — A Seifert fiber space is a 3 manifold together with a nice decomposition as a disjoint union of circles. In other words it is a S^1 bundle (circle bundle) over a 2 dimensional orbifold. Most small 3 manifolds are Seifert fiber spaces, and they… …   Wikipedia

  • Euler class — In mathematics, specifically in algebraic topology, the Euler class, named after Leonhard Euler, is a characteristic class of oriented, real vector bundles. Like other characteristic classes, it measures how quot;twisted quot; the vector bundle… …   Wikipedia

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