Envelopes of splines in the projective plane

Title
Envelopes of splines in the projective plane
Publication Date
2005
Author(s)
Krakowski, Krzysztof
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Oxford University Press
Place of publication
United Kingdom
DOI
10.1093/imamci/dni014
UNE publication id
une:3366
Abstract
In this paper a family of curves - Riemannian cubics - in the unit sphere and the real projective plane is investigated. Riemannian cubics naturally arise as solutions to variational problems in Riemannian spaces. It is remarkable to find that an envelope of lines generated by a Riemannian cubic in one space is (nearly) a Riemannian cubic in another space.
Link
link
Citation
IMA Journal of Mathematical Control and Information, 22(2), p. 171-180
ISSN
0265-0754
Start page
171
End page
180

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