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Australasian Research Symposium on Lie Groups, Algebraic Groups, Quantum Groups, and Their Representations (LAQ'2001)
December 7-10, 2001
The University of Auckland
Auckland, New Zealand

Organizers
Rod Gover (University of Auckland), Vladimir Pestov (Victoria University of Wellington)

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An introduction to generalized exterior forms and their application
by
David Robinson
King's College London
Coauthors: Pawel Nurowski (Warsaw University)

A few years ago, in order to deal with a problem in the application of twistor theory to curved space-times, Sparling introduced p-forms, where p can be negative. The algebra and calculus of these generalized exterior forms have recently been developed. This talk will provide an introduction to generalized forms. It will include a discussion of Cartan's structure equations and generalized connections. Generalized (Hodge) star-, codifferential- and Laplace-operators will also be defined. A number of applications to physical systems, including general relativity, will be outlined.

Date received: October 27, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahw-16.