Natural Operations in Differential Geometry

Natural Operations in Differential Geometry book cover

Natural Operations in Differential Geometry

Author(s): Ivan Kolar Pro (Editor), Peter W Michor (Editor), Jan Slovak (Editor)

  • Publisher: Springer
  • Publication Date: 15 Jan. 2014
  • Language: English
  • Print length: 444 pages
  • ISBN-10: 3662029510
  • ISBN-13: 9783662029510

Book Description

I. Manifolds and Lie Groups.- II. Differential Forms.- III. Bundles and Connections.- IV. Jets and Natural Bundles.- V. Finite Order Theorems.- VI. Methods for Finding Natural Operators.- VII. Further Applications.- VIII. Product Preserving Functors.- IX. Bundle Functors on Manifolds.- X. Prolongation of Vector Fields and Connections.- XI. General Theory of Lie Derivatives.- XII. Gauge Natural Bundles and Operators.- References.- List of symbols.- Author index.

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