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FAMILIES OF SURFACES IN ℝ4

  • J. W. Bruce (a1) and F. Tari (a2)

Abstract

We study the geometry of surfaces in $\mathbb{R}^4$ associated to contact with hyperplanes. We list all possible transitions that occur on the parabolic and so-called $A_3$-set, and analyse the configurations of the asymptotic curves and their bifurcations in generic one-parameter families.

AMS 2000 Mathematics subject classification: Primary 58C27. Secondary 53A05

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FAMILIES OF SURFACES IN ℝ4

  • J. W. Bruce (a1) and F. Tari (a2)

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