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Fiber bundle (translated from German)
Fiber bundle Fiber bundle is in that Mathematics , particularly in that ... a different global structure possesses. Each fiber bundle consists of one constant surjektiven Illustration ?: E ... Special fiber bundles are z.B. Vector bundle , which a fundamental role with the mathematical ... play. Table of contents Definition A fiber bundle becomes by the data (E, B, ?, ...
http://de.wikipedia.org/wiki/Faserbündel - 9k - Cached (German) - Wikipedia (German) - Similar pages
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Fiber bundle
Fiber bundle In mathematics, in particular in topology, a fiber bundle (or fibre bundle) is a space which locally looks like ... possess a different global structure. Every fiber bundle consists of a continuous surjective map π ... onto the first coordinate, is a fiber bundle. This is called the trivial bundle. ...
http://en.wikipedia.org/wiki/Fiber_bundle - 14k - Cached - Similar pages
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Jet bundle
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 form. Historically, jet ...
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Tangent bundle
Tangent bundle In mathematics, the tangent bundle of a differentiable manifold M, denoted by ... x. Topology and smooth structure The tangent bundle comes equipped with a natural topology (not ... R n . When this happens the tangent bundle is said to be trivial. Just as manifolds are locally modelled ...
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Vector bundle (translated from German)
Vector bundle Vector bundle (or sometimes in more detail Vector space bundle) are families of Vector spaces , by the ... topological area are parameterized. Descriptive a vector bundle consists of one vector space each for ... most well-known example of a vector bundle is that Tangential bundle one differentiable ...
http://de.wikipedia.org/wiki/Vektorbündel - 8k - Cached (German) - Wikipedia (German) - Similar pages
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Talk:Fiber bundle
Talk:Fiber bundle spelling I find the inconsistency between the ... the body, renaming the article to "Fiber bundle" seems better. However, I'm new here ... there should be an explanation why locally trivial fibrations can have different fibers, as a ... every projective module comes from a vector bundle with globally constant fiber. Maybe for now ... B to be connected in our fiber bundle article, and be done with it? ...
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Vector bundle
Vector bundle In mathematics, a vector bundle is a geometrical construct where to every ... variety). A typical example is the tangent bundle of a differentiable manifold: to every point ... at that point; this yields the "normal bundle" of the curve. This article deals mostly ... as extra structure on an underlying real bundle. Definition and first consequences A real ...
http://en.wikipedia.org/wiki/Vector_bundle - 12k - Cached - Similar pages
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Cotangent bundle
Cotangent bundle In differential geometry, the cotangent bundle of a manifold is the vector bundle of all the cotangent spaces at every ... cotangent sheaf) Smooth sections of the cotangent bundle are differential one-forms. Definition of the ... of M. Thus it defines a vector bundle on M: the cotangent bundle. The ...
http://en.wikipedia.org/wiki/Cotangent_bundle - 10k - Cached - Similar pages
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Talk:Tangent bundle
Talk:Tangent bundle You mean tangent bundle is a term used in auto mechanics ... Automobile → differential → derivative → tangent bundle. Yes, I'm bored :) Fropuff 00:54 ... stated, is because I found the tangent bundle page very hard to understand for anybody ... at least intuitively think of the tangent bundle that way? Oleg Alexandrov 15:25, ...
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Tautological bundle (translated from German)
Tautological bundle Into that mathematical Areas that Topology and ... math>V is the straight line bundle, its Fiber in one point bundle define; it is < a vector bundle ...
http://de.wikipedia.org/wiki/Tautologisches_Bündel - 2k - Cached (German) - Wikipedia (German) - Similar pages
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