On the Blaschke conjecture for 3-webs

DOI10.1007/BF02930988zbMath1104.53011arXivmath/0411460WikidataQ123026965 ScholiaQ123026965MaRDI QIDQ2434062

Valentin V. Lychagin, Vladislav V. Goldberg

Publication date: 31 October 2006

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411460

zbMATH Keywords

three-weblinearizable web

Mathematics Subject Classification ID

Differential geometry of webs (53A60)

Related Items (13)

3-webs with singularities ⋮ Samuelson's webs ⋮ Quasilinear systems with linearizable characteristic webs ⋮ Gronwall's conjecture for 3-webs with two pencils of lines ⋮ Minimal projectivity condition for a smooth mapping and the Gronwall problem ⋮ On the linearizability of 3-webs: end of controversy ⋮ Abelian equations and rank problems for planar webs ⋮ Configurations on curvilinear three-web boundaries ⋮ On the problem of linearizability of a 3-web ⋮ On the Gronwall conjecture ⋮ Geodesic webs on a two-dimensional manifold and Euler equations ⋮ Compatibility, multi-brackets and integrability of systems of PDEs ⋮ Three-webs defined by symmetric functions

Cites Work

• Mayer brackets and solvability of PDEs. I
• 4-webs in the plane and their linearizability
• Linearizability of \(d\)-webs, \(d \geq 4\), on two-dimensional manifolds
• On the linearizability of 3-webs.
• On linearization of planar three-webs and Blaschke's conjecture
• Über Geradengewebe. Topologische Fragen der Differentialgeometrie. LXV
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