On the Blaschke conjecture for 3-webs

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dc.creatorGoldberg, Vladislav V.
dc.creatorLychagin, Valentin V.
dc.date2004-11-21
dc.date.accessioned2026-07-07T06:33:19Z
dc.date.available2026-07-07T06:33:19Z
dc.descriptionWe 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. As a side result, we show that the number of linearizations in the Gronwall conjecture does not exceed fifteen and give criteria for rigidity of 3-webs.
dc.descriptionLaTeX, 52 pages
dc.identifierhttps://arxiv.org/abs/math/0411460
dc.identifierhttp://arxiv.org/abs/math/0411460
dc.identifierJ. Geom. Anal., 16 (2006) no. 1, 69-115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99152
dc.subjectDifferential Geometry
dc.subject53A60
dc.titleOn the Blaschke conjecture for 3-webs
dc.typetext

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