most citedBernhard Riemann 1861 revisited: existence of flat coordinates for an arbitrary bilinear form

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math.DG2021★ 7 cited

Bernhard Riemann 1861 revisited: existence of flat coordinates for an arbitrary bilinear form

S. Bandyopadhyay, B. Dacorogna, V. S. Matveev +1

We generalize the celebrated results of Bernhard Riemann and Gaston Darboux: we give necessary and sufficient conditions for a bilinear form to be flat. More precisely, we give exp…