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A Problem of Minimum Area for Bodies with Constrains on Width and Curvature
Malagoli, Federica
2007
Abstract
In this paper we solve the problem of finding the convex
plane body of minimum area with the hypothesis of having a
limited radius of curvature, together with an assigned minimum
width. This result allows us to give a new and mainly analytical
proof of Pal’s Theorem.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (2007)
Subjects
Publisher
EUT Edizioni Università di Trieste
Source
Federica Malagoli, "A Problem of Minimum Area for Bodies with Constrains on Width and Curvature”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 407–420.
Languages
en
File(s)