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- W4300819232 abstract "We show some generic (robust) properties of smooth surfaces immersed in the real 3-space (Euclidean, affine or projective), in the neighbourhood of a {em godron} (term due to R.Thom): an isolated parabolic point at which the (unique) asymptotic direction is tangent to the parabolic curve. With the help of these properties and a projective invariant that we associate to each godron we classify the godrons and present all possible local configurations of the flecnodal curve at a generic swallowtail in $R^3$. We present some global results, for instance: {em A closed parabolic curve bounding a hyperbolic disc has a positive even number of godrons, and the flecnodal curve lying in that disc has an odd number of transverse self-intersections.}." @default.
- W4300819232 created "2022-10-04" @default.
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- W4300819232 date "2004-12-23" @default.
- W4300819232 modified "2023-09-27" @default.
- W4300819232 title "A New Projective Invariant Associated to the Special Parabolic Points of Surfaces and to Swallowtails" @default.
- W4300819232 doi "https://doi.org/10.48550/arxiv.math/0412484" @default.
- W4300819232 hasPublicationYear "2004" @default.
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