Natural Operations in Differential Geometry

Natural Operations in Differential Geometry by Ivan Kolar, Peter W. Michor, Jan Slovak.

The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op­ erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we m...

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Bibliographic Details
Main Authors: Kolar, Ivan (Author), Michor, Peter W. (Author), Slovak, Jan (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.
Edition:1st ed. 1993.
Series:Springer eBook Collection.
Subjects:
Differential geometry.
Quantum computers.
Spintronics.
Geometry.
Quantum physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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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