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

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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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     title = {On {Strongly} {Convex} {Indicatrices} in {Minkowski} {Geometry}},
     journal = {Canadian mathematical bulletin},
     pages = {232--246},
     year = {2002},
     volume = {45},
     number = {2},
     doi = {10.4153/CMB-2002-027-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-027-4/}
}
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