volume 78, issue 3, P405-415 2006
DOI: 10.1590/s0001-37652006000300002
View full text
|
|
Share

Abstract: ABSTRACTIn 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 R 3 . By means of a connection of the differential equations for these curvature lines and real Riccati equations, it is established that canal surfaces have at most two isolated periodic principal lines. Examples of canal surfaces with two simple and one double periodic principal lin…

Expand abstract

Search citation statements

Order By: Relevance

Paper Sections

0
0
0
0
0

Citation Types

0
4
0

Publication Types

Select...

Relationship

0
0

Authors

Journals