: Mathematics: Beltrami's theorem

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Beltrami's theorem

In the mathematical field of differential geometry, any (pseudo-)Riemannian metric determines a certain class of paths known as geodesics. Beltrami's theorem, named for Italian mathematician Eugenio Beltrami, is a result on the inverse problem of determining a (pseudo-)Riemannian metric from its geodesics.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Beltrami%27s_theorem)

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