Some remarks on duality in
Banach Center Publications (1999)
- Volume: 50, Issue: 1, page 217-226
- ISSN: 0137-6934
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topPorteous, Ian. "Some remarks on duality in $S^3$." Banach Center Publications 50.1 (1999): 217-226. <http://eudml.org/doc/209010>.
@article{Porteous1999,
abstract = {In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in $S^2$ and extend them to curves and surfaces in $S^3$.},
author = {Porteous, Ian},
journal = {Banach Center Publications},
keywords = {dual curve; derivative curve; dual surface},
language = {eng},
number = {1},
pages = {217-226},
title = {Some remarks on duality in $S^3$},
url = {http://eudml.org/doc/209010},
volume = {50},
year = {1999},
}
TY - JOUR
AU - Porteous, Ian
TI - Some remarks on duality in $S^3$
JO - Banach Center Publications
PY - 1999
VL - 50
IS - 1
SP - 217
EP - 226
AB - In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in $S^2$ and extend them to curves and surfaces in $S^3$.
LA - eng
KW - dual curve; derivative curve; dual surface
UR - http://eudml.org/doc/209010
ER -
References
top- [1] V. I. Arnol'd, The geometry of spherical curves and the algebra of quaternions (in Russian), Uspekhi Mat. Nauk 50:1 (1995), 3-68; Engl. transl.: Russian Math. Surveys 50:1 (1995), 1-68.
- [2] I. R. Porteous, Geometric Differentiation for the Intelligence of Curves and Surfaces, Cambridge Univ. Press, Cambridge, 1994. Zbl0806.53001
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