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arXiv · 1307.8340

Inflection points and asymptotic lines on Lagrangean surfaces

J. Basto-Gonçalves
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Abstract

We describe the structure of the asymptotic lines near an inflection point of a Lagrangean surface, proving that in the generic situation it corresponds to two of the three possible cases when the discriminant curve has a cusp singularity. Besides being stable in general, inflection points are proved to exist on a compact Lagrangean surface whenever its Euler characteristic does not vanish.

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J. Basto-Gonçalves. 2013-07-31. Inflection points and asymptotic lines on Lagrangean surfaces. https://arxiv.org/abs/1307.8340

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