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arXiv · 1901.06044

Affine curvature lines of surfaces in 3-space

Martín Barajas S.·Marcos Craizer·Ronaldo Garcia
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Abstract

In this work we study the affine principal lines of surfaces in 3-space. We consider the binary differential equation of the affine curvature lines and obtain the topological models of these curves near the affine umbilic points (elliptic and hyperbolic). We also describe the generic behavior of affine curvature lines in the neighborhood of points with double eigenvalues (but not umbilics) of the affine shape operator and parabolic points

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Martín Barajas S., Marcos Craizer, Ronaldo Garcia. 2019-01-18. Affine curvature lines of surfaces in 3-space. https://doi.org/10.1007/s00025-020-1158-9

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