On the geometry of the cross-cap in the Minkoswki 3-space and binary differential equations

DOI10.2748/tmj/1466172774zbMath1361.58017OpenAlexW2473016361WikidataQ115227038 ScholiaQ115227038MaRDI QIDQ312737

Fabio Scalco Dias, Farid Tari

Publication date: 16 September 2016

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1466172774

zbMATH Keywords

Minkowski spacebinary differential equationsCayley umbrellacrosscapsdiscriminant curveslightlike lineslines of principal curvaturepinch-point surfaceWhitney umbrella

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Critical points of functions and mappings on manifolds (58K05) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (6)

On the multiplicity of umbilic points ⋮ The flat geometry of the I_1 singularity: (x,y) -> (x,xy,y^2,y^3) ⋮ Symmetries of cross caps ⋮ The geometry of corank 1 surfaces in ℝ4 ⋮ On the geometry of folded cuspidal edges ⋮ Projections of surfaces in \(\mathbb R^4\) to \(\mathbb R^3\) and the geometry of their singular images

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