Singularities of tangent surfaces in Cartan's split \(G_2\)-geometry

DOI10.4310/AJM.2016.v20.n2.a6zbMath1354.58033MaRDI QIDQ281842

Go-o Ishikawa, Masatomo Takahashi, Yoshinori Machida

Publication date: 11 May 2016

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

tangent surfaceCartan distributionEngel curveMonge curvenull Grassmanniansplit octonion

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Projective differential geometry (53A20) Classification; finite determinacy of map germs (58K40)

Related Items (6)

Triality, characteristic classes, \(D_4\) and \(G_2\) singularities ⋮ Extrinsic geometry and linear differential equations ⋮ Geometry of D_4 conformal triality and singularities of tangent surfaces ⋮ Duality on geodesics of Cartan distributions and sub-Riemannian pseudo-product structures ⋮ Duality of singular paths for \((2,3,5)\)-distributions ⋮ DUALITY OF (2, 3, 5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES

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