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Natural operations in differential geometry

Author: Ivan Kolář; Jan Slovák; Peter W Michor
Publisher: [Place of publication not identified] : [publisher not identified], 1999.
Series: Electronic library of mathematics.
Edition/Format:   eBook : Document : English : Corr. electronic versionView all editions and formats
Summary:
Electronic version of book originally published in 1993.
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Details

Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ivan Kolář; Jan Slovák; Peter W Michor
ISBN: 0387562354 9780387562353 3540562354 9783540562351
OCLC Number: 82715932
Notes: Title from home page viewed Nov. 6, 2000.
Details: System requirements: Internet access; Web browser.; Mode of access: World Wide Web via Internet.; Downloadable as one file: HYPER-DVI (838,207 bytes), Postscript (1,330,587 bytes), PDF (2,945,143 bytes).
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.
Series Title: Electronic library of mathematics.
Responsibility: by Ivan Kolar, Jan Slovak and Peter W. Michor.

Abstract:

The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.  Read more...

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