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Normal form of a metric admitting a parallel field of planes (1992)

Thompson, G.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 33 (1992), S. 4008-4010

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Local coordinate normal forms for two classes of metrics are obtained. The first class is comprised of those metrics that have a field of degenerate, but not necessarily null, planes, thereby extending a result of A. G. Walker. The second class of metrics are Artinian metrics that possess a pair of parallel, complementary, null distributions. This latter class is shown to be equivalent to a certain class of symplectic forms.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.529851

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