CONTACT OF CIRCLES WITH SURFACES: ANSWERS TO A QUESTION OF MONTALDI

Giblin, Peter and Reeve, Graham (2022) CONTACT OF CIRCLES WITH SURFACES: ANSWERS TO A QUESTION OF MONTALDI. ASIAN JOURNAL OF MATHEMATICS, 26 (5). pp. 613-616.

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Official URL: http://dx.doi.org/10.4310/ajm.2022.v26.n5.a1

Abstract

We answer a question raised by J. Montaldi in 1986 as to the exact upper bound on the number of circles which can have 5-point contact with a generic smooth surface M in R3, ata point of M.

Item Type:	Article
Uncontrolled Keywords:	surface, circle, contact, roots of polynomials, distance-squared function, Euclidean, generic geometry, higher vertex
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	21 Sep 2023 07:23
Last Modified:	21 Sep 2023 07:23
DOI:	10.4310/ajm.2022.v26.n5.a1
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3172910