Singularities of Blaschke normal maps of convex surfaces
classification
🧮 math.DG
keywords
affineblaschkeconvexnegativenormalswallowtailsdeterminantdifference
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We prove that the difference between the numbers of positive swallowtails and negative swallowtails of the Blaschke normal map for a given convex surface in affine space is equal to the Euler number of the subset where the affine shape operator has negative determinant.
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