Geodesic
On Strongly Convex Indicatrices in Minkowski Geometry
Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 232-246

Voir la notice de l'article provenant de la source Cambridge University Press

The geometry of indicatrices is the foundation of Minkowski geometry. A strongly convex indicatrix in a vector space is a strongly convex hypersurface. It admits a Riemannian metric and has a distinguished invariant—(Cartan) torsion. We prove the existence of non-trivial strongly convex indicatrices with vanishing mean torsion and discuss the relationship between the mean torsion and the Riemannian curvature tensor for indicatrices of Randers type.
DOI : 10.4153/CMB-2002-027-4
Mots-clés : 46B20, 53C21, 53A55, 52A20, 53B40, 53A35 
Ji, Min; Shen, Zhongmin. On Strongly Convex Indicatrices in Minkowski Geometry. Canadian mathematical bulletin, Tome 45 (2002) no. 2, pp. 232-246. doi: 10.4153/CMB-2002-027-4
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