✦ LIBER ✦

Differential equations and conformal geometry

✍ Scribed by Simonetta Frittelli; Niky Kamran; Ezra T. Newman

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 119 KB
Volume: 43
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(01)00088-2

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✦ Synopsis

It has recently been proved [3] that the solution spaces of certain classes of differential equations whose local solutions are parametrized by three or four arbitrary constants can be endowed with conformal Lorentzian metrics in a natural way. We shall prove that these conformal structures are preserved when the differential equations are transformed by a contact transformation.

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