On the characteristic curves on a smooth surface

DOI10.1112/jlms/jdq093zbMath1216.53008OpenAlexW2017514555MaRDI QIDQ3004919

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Publication date: 6 June 2011

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdq093

zbMATH Keywords

projective transformationsasymptotic curvescontact elementscross-ratios of Legendrian lines

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Geometric methods in ordinary differential equations (34A26) Explicit solutions, first integrals of ordinary differential equations (34A05) Singularities of vector fields, topological aspects (58K45) Normal forms on manifolds (58K50) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Projective differential geometry (53A20)

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Binary differential equations at parabolic and umbilical points for 2-parameter families of surfaces ⋮ Cross-ratio invariants for surfaces in 4-space

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