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A space cubic and its one-parameter automorphism groups

Authors:	Albert Wiltsche

Institution:	(1) Institute of Geometry, TU Graz, Kopernikusgasse 24, 8010 Graz, Austria

Abstract:	We discuss all automorphisms of ${\mathbb{P}}_3({\mathbb{R}})$ which have a space cubic (twisted cubic) as a fixed figure. These automorphisms build up a three-parameter subgroup ${\mathcal{A}}_3$ of all collineations of ${\mathbb{P}}_3({\mathbb{R}})$ . In this paper we study the one-parameter subgroups of ${\mathcal{A}}_3$ , their paths and tangent complexes.

Keywords:	51N15 53A20
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