Singularities of the Minkowski set and affine equidistants for a curve and a surface |
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Authors: | Graham M Reeve Vladimir M Zakalyukin |
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Institution: | University of Liverpool, Department of Mathematical Sciences, Liverpool, United Kingdom |
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Abstract: | Generic singularities of envelopes of families of chords and bifurcations of affine equidistants defined by a pair of a curve and a surface in R3 are classified. The chords join pairs of points of the curve and the surface such that the tangent line to the curve is parallel to the tangent plane to the surface. The classification contains singularities of stable Lagrange and Legendre projections, boundary singularities and some less known classes appearing at the points of the surface and the curve themselves. |
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Keywords: | 58K05 58K40 53A15 |
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