Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/62172
Type: Artigo de periódico
Title: Nowhere vanishing torsion closed curves always hide twice
Author: Costa, SR
RomeroFuster, MD
Abstract: Convexity may imply points of vanishing torsion as the spatial 4-vertex theorem shows. We state here that for a simple closed curve to have nowhere vanishing torsion, it must violate convexity hiding at least twice inside its convex hull. Both the '4-vertex' and 'hiding-twice' results are generalized by obtaining a relation between the number of vanishing torsion points (vertices) of a closed space curve and the number of its components inside its convex hull. We also comment on elastic curves.
Subject: nowhere vanishing torsion curves
vertices
convex hull
Maxwell graphs
Country: Holanda
Editor: Kluwer Academic Publ
Rights: fechado
Date Issue: 1997
Appears in Collections:Unicamp - Artigos e Outros Documentos

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