### 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.

Original language | English |
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Pages (from-to) | 181-203 |

Journal | Proceedings of the Edinburgh Mathematical Society (Series 2) |

Volume | 45 |

DOIs | |

Publication status | Published - 2002 |

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## Cite this

Bruce, J. W., & Tari, F. (2002). Families of surfaces in R^4.

*Proceedings of the Edinburgh Mathematical Society (Series 2)*,*45*, 181-203. https://doi.org/10.1017/S0013091500000213