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Home > Art, Film & Photography > Fiber Bundles: Covering Space, Connection Form, Jet Bundle, Hopf Fibration, Fiber Bundle, Seifert Fiber Space, Principal Bundle, Frame Bundle
Fiber Bundles: Covering Space, Connection Form, Jet Bundle, Hopf Fibration, Fiber Bundle, Seifert Fiber Space, Principal Bundle, Frame Bundle

Fiber Bundles: Covering Space, Connection Form, Jet Bundle, Hopf Fibration, Fiber Bundle, Seifert Fiber Space, Principal Bundle, Frame Bundle


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 40. Chapters: Covering space, Connection form, Jet bundle, Hopf fibration, Fiber bundle, Seifert fiber space, Principal bundle, Frame bundle, Associated bundle, Stiefel manifold, Reduction of the structure group, Classifying space, Solder form, Unit tangent bundle, Pullback bundle, Section, Universal bundle, Bundle map, Fiber bundle construction theorem, Circle bundle, I-bundle, Vertical bundle, Covariant classical field theory, Torus bundle, Surface bundle over the circle, Exterior covariant derivative, Leray-Hirsch theorem, Line field, Subbundle, Horizontal form. Excerpt: 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. Jets may also be seen as the coordinate free versions of taylor expansions. Historically, jet bundles are attributed to Ehresmann, and were an advance on the method (prolongation) of Elie Cartan, of dealing geometrically with higher derivatives, by imposing differential form conditions on newly-introduced formal variables. Jet bundles are sometimes called sprays, although sprays usually refer more specifically to the associated vector field induced on the corresponding bundle (e.g., the geodesic spray on Finsler manifolds.) More recently, jet bundles have appeared as a concise way to describe phenomena associated with the derivatives of maps, particularly those associated with the calculus of variations. Consequently, the jet bundle is now recognized as the correct domain for a geometrical covariant field theory and much work is done in general relativistic formulations of fields using this approach. Let be a fiber bundle in a category of manifolds and let, with . Let denote the set of all local sections whose domain ...


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Product Details
  • ISBN-13: 9781156468166
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 42
  • Spine Width: 2 mm
  • Weight: 95 gr
  • ISBN-10: 1156468167
  • Publisher Date: 13 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Covering Space, Connection Form, Jet Bundle, Hopf Fibration, Fiber Bundle, Seifert Fiber Space, Principal Bundle, Frame Bundle
  • Width: 189 mm


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