Families of surfaces in R^4

J.W. Bruce, F. Tari

Research output: Contribution to journalArticle

13 Citations (Scopus)

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 languageEnglish
Pages (from-to)181-203
JournalProceedings of the Edinburgh Mathematical Society (Series 2)
Volume45
DOIs
Publication statusPublished - 2002

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Hyperplane
Bifurcation
Contact
Curve
Configuration
Family

Cite this

Bruce, J.W. ; Tari, F. / Families of surfaces in R^4. In: Proceedings of the Edinburgh Mathematical Society (Series 2). 2002 ; Vol. 45. pp. 181-203.
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Families of surfaces in R^4. / Bruce, J.W.; Tari, F.

In: Proceedings of the Edinburgh Mathematical Society (Series 2), Vol. 45, 2002, p. 181-203.

Research output: Contribution to journalArticle

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AU - Bruce, J.W.

AU - Tari, F.

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