On linearization of planar three-webs and Blaschke's conjecture |
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| Authors: | Vladislav V Goldberg Valentin V Lychagin |
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| Institution: | 1. Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA;2. Department of Mathematics and Statistics, University of Tromso, N-9037 Tromso, Norway |
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| Abstract: | We find relative differential invariants of orders eight and nine for a planar nonparallelizable 3-web such that their vanishing is necessary and sufficient for a 3-web to be linearizable. This solves the Blaschke conjecture for 3-webs. To cite this article: V.V. Goldberg, V.V. Lychagin, C. R. Acad. Sci. Paris, Ser. I 341 (2005). |
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