Differential equations and conformal geometry
type: Item
instance of: scholarly article
title: Differential equations and conformal geometry
zbMATH Open document ID: 1014.53016
DOI: 10.1016/S0393-0440(01)00088-2
author: Simonetta Frittelli
author: Niky Kamran
author: Ezra T. Newman
published in: Journal of Geometry and Physics
publication date: 2002-09-17T00:00:00Z
review text: The solution space of certain classes of differential equations whose local solutions are parametrized by three or four arbitrary constants can be endowed with a conformal Lorentzian metrics in a natural way. In this paper it is proved that this conformal structure is preserved when the differential equations are transformed by a contact transformation.
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 1801893
zbMATH Keywords: differential equation
zbMATH Keywords: conformal geometry
zbMATH Keywords: Lorentzian geometry
zbMATH Keywords: contact transformation
Wikidata QID: Q115338878
reviewed by: Huili Liu
MaRDI profile type: Publication
cites work: Differential geometry from differential equations
cites work: Q4849745
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description: scientific article; zbMATH DE number 1801893