Families of surfaces in R^4

J.W. Bruce; F. Tari

doi:10.1017/S0013091500000213

Families of surfaces in R^4

J.W. Bruce
, F. Tari

Research output: Contribution to journal › Article (journal) › peer-review

23 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 language	English
Pages (from-to)	181-203
Journal	Proceedings of the Edinburgh Mathematical Society (Series 2)
Volume	45
DOIs	https://doi.org/10.1017/S0013091500000213
Publication status	Published - 2002

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10.1017/S0013091500000213

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title = "Families of surfaces in R\textasciicircum{}4",

abstract = "We study the geometry of surfaces in \$\textbackslash{}mathbb\{R\}\textasciicircum{}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.",

author = "J.W. Bruce and F. Tari",

year = "2002",

doi = "10.1017/S0013091500000213",

language = "English",

volume = "45",

pages = "181--203",

journal = "Proceedings of the Edinburgh Mathematical Society (Series 2)",

issn = "0013-0915",

publisher = "Cambridge University Press",

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T1 - Families of surfaces in R^4

AU - Bruce, J.W.

AU - Tari, F.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

U2 - 10.1017/S0013091500000213

DO - 10.1017/S0013091500000213

M3 - Article (journal)

SN - 0013-0915

VL - 45

SP - 181

EP - 203

JO - Proceedings of the Edinburgh Mathematical Society (Series 2)

JF - Proceedings of the Edinburgh Mathematical Society (Series 2)

ER -

Families of surfaces in R^4

Abstract

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