In this paper we study singularities of certain surfaces and curves associated with the family of rectifying planes along space curves. We establish the relationships between singularities of these subjects and geometric invariants of curves which are deeply related to the order of contact with helices.
@article{bwmeta1.element.bwnjournal-article-bcpv50z1p137bwm,
author = {Izumiya, Shyuichi and Katsumi, Haruyo and Yamasaki, Takako},
title = {The rectifying developable and the spherical Darboux image of a space curve},
journal = {Banach Center Publications},
volume = {50},
year = {1999},
pages = {137-149},
zbl = {0973.58023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv50z1p137bwm}
}
Izumiya, Shyuichi; Katsumi, Haruyo; Yamasaki, Takako. The rectifying developable and the spherical Darboux image of a space curve. Banach Center Publications, Tome 50 (1999) pp. 137-149. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv50z1p137bwm/
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