Webs and projective structures on a plane |
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Affiliation: | Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956 Warszawa, Poland |
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Abstract: | We prove that there is a one-to-one correspondence between projective structures defined by torsion-free connections with skew-symmetric Ricci tensor and Veronese webs on a plane. The correspondence is used to characterise the projective structures in terms of second order ODEs. |
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Keywords: | 53A55 34A26 |
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