Families of surfaces in R^4

Bruce, J.W. and Tari, F. (2002) Families of surfaces in R^4. Proceedings of the Edinburgh Mathematical Society (Series 2), 45. pp. 181-203. ISSN 0013-0915 DOI https://doi.org/10.1017/S0013091500000213

Item not available from this archive.

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.

Item Type: Article
Subjects: Q Science > QA Mathematics
Date Deposited: 04 Dec 2010 17:24
URI: http://repository.edgehill.ac.uk/id/eprint/1530

Archive staff only

Item control page Item control page