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

Autor:	Bandyopadhyay, S., Dacorogna, B., Matveev, V. S., Troyanov, M.
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry 53.1 53D
Zdroj:	Mathematische Zeitschrift (2023) 305:12
Druh dokumentu:	Working Paper
DOI:	10.1007/s00209-023-03335-1
Popis:	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. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.03098 Zobrazit plný text záznamu View this record from Arxiv