Some remarks on duality in $S^3$

• Autorzy: Ian R. Porteous
• Języki publikacji: EN

Abstrakty

EN

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 $S^3$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 50
• Numer: 1
• Strony: 217-226

Daty

wydano

1999

Twórcy

autor

Ian R. Porteous

• Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, UK

Bibliografia

• [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.