Lines of principal curvature on canal surfaces in R³

In this paper are determined the principal curvatures and principal curvature lines on canal surfaces which are the envelopes of families of spheres with variable radius and centers moving along a closed regular curve in R³. By means of a connection of the differential equations for these curvature...

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Bibliographic Details
Main Authors: Garcia Ronaldo, Llibre Jaume, Sotomayor Jorge
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2006-01-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652006000300002