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Bandyopadhyay, S.; Dacorogna, B.; Matveev, V. S.; Troyanov, M.
Mathematische Zeitschrift, 09/2023, Letnik: 305, Številka: 1Journal Article
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 explicit necessary and sufficient conditions for a tensor field of type (0, 2) which is not necessary symmetric or skew-symmetric, and is possibly degenerate, to have constant entries in a local coordinate system.
