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Osculating paraboloids of second and third order

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Abstract

Osculating paraboloids of second order of a surface have been discussed in classical affine differential geometry. We generalize this concept to cubic osculating paraboloids. This yields a visualization of the local properties of a given surface which depend on the derivatives of maximal order four.

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Authors and Affiliations

  1. TH Darmstadt, Fachbereich Mathematik, AG Differentialgeometrie und Kinematik, Schloßgartenstr. 7, 64289, Darmstadt, Germany

    B. Jüttler

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  1. B. Jüttler
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Jüttler, B. Osculating paraboloids of second and third order. Abh.Math.Semin.Univ.Hambg. 66, 317–335 (1996). https://doi.org/10.1007/BF02940812

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  • DOI: https://doi.org/10.1007/BF02940812

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