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Some geometrical aspects of the theory of quadratic differential equations. (English) Zbl 0805.34051

Summary: In this paper it is shown that for some quadratic differential equations a suitable metric can be associated. The Riemannian structure defined by this metric tensor leads us to consider some suitable coordinates.

MSC:

34G20 Nonlinear differential equations in abstract spaces
53C20 Global Riemannian geometry, including pinching
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A26 Geometric methods in ordinary differential equations
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