This article is cited in 8 papers

Applications of Riemannian and Einstein–Weyl Geometry in the Theory of Second-Order Ordinary Differential Equations

V. S. Dryuma

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova

Abstract: We consider some properties of four-dimensional Riemannian spaces whose metric coefficients are associated with the coefficients of second-order nonlinear differential equations, and we study the properties of three-dimensional Einstein–Weyl spaces related to the dual equations $b''=g(a,b,b')$, where the function $g(a,b,b')$ satisfies a special partial differential equation.

DOI: 10.4213/tmf479

 English version: Theoretical and Mathematical Physics, 2001, 128:1, 845–855

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