Frame and direction mappings for surfaces in ℝ3

DOI10.1017/prm.2018.42zbMath1419.53004OpenAlexW2912896414MaRDI QIDQ4968778

Farid Tari, J. W. Bruce

Publication date: 9 July 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2018.42

zbMATH Keywords

singularitiesframesfirst-order differential equationsdivergent diagramsasymptotic directions and curvesprincipal directions and curves

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Surfaces in Euclidean and related spaces (53A05) Critical points of functions and mappings on manifolds (58K05)

Related Items (1)

On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space

Uses Software

• SingSurf

Cites Work

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• Generic singularities of implicit systems of first order differential equations on the plane
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• On the Classification of Germs of Maps from R² to R³
• Differential Geometry from a Singularity Theory Viewpoint
• Families of Maps from the Plane to The Plane
• Finite Determinacy of Smooth Map-Germs
• A note on First order Differential Equations of Degree Greater than One and Wavefront Evolution
• CLASSIFICATION OF GENERIC INTEGRAL DIAGRAMS AND FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
• Duality and implicit differential equations
• Extrema of principal curvature and symmetry

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