To curvilinear three-web theory

DOI10.1007/s10958-011-0319-5zbMath1283.53016OpenAlexW2015289899MaRDI QIDQ389118

V. B. Lazareva, A. A. Utkin, Alexander M. Shelekhov

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0319-5

zbMATH Keywords

Riccati equationcircular webscurvilinear webexterior formmovable frame

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Differential geometry of webs (53A60)

Related Items (1)

3-webs with singularities

Cites Work

• Systems of three differential equations of hydrodynamic type with hexagonal 3-web of characteristics on the solution
• Differential invariants of webs on two-dimensional manifolds
• Curvilinear three-webs admitting a one-parameter family of automorphisms
• Topology of complex webs of codimension one and geometry of projective space curves
• Curvature of curvilinear 4-webs and pencils of one forms: Variation on a theorem of Poincaré, Mayrhofer and Reidemeister
• 4-webs in the plane and their linearizability
• Linearizability of \(d\)-webs, \(d \geq 4\), on two-dimensional manifolds
• On planar web geometry through Abelian relations and connections
• Quasigroups, nets, and nomograms
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