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Proofs of existence of local potentials for trace-free symmetric 2-forms using dimensionally dependent identities
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2005 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, Vol. 54, no 3, 251-261 p.Article in journal (Refereed) Published
Abstract [en]

We exploit four-dimensional tensor identities to give a very simple proof of the existence of a Lanczos potential for a Weyl tensor in four dimensions with any signature, and to show that the potential satisfies a simple linear second-order differential equation, e.g., a wave equation in Lorentz signature. Furthermore, we exploit higher-dimensional tensor identities to obtain the analogous results for (m, m)-forms in 2m dimensions. © 2004 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
2005. Vol. 54, no 3, 251-261 p.
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Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-22885DOI: 10.1016/j.geomphys.2004.09.008Local ID: 2232OAI: oai:DiVA.org:liu-22885DiVA: diva2:243198
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2011-01-12

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Edgar, Brian

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