Geodesic
On Zindler Curves in Normed Planes
Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 767-773

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

We extend the notion of Zindler curve from the Euclidean plane to normed planes. A characterization of Zindler curves for general normed planes is given, and the relation between Zindler curves and curves of constant area-halving distances in such planes is discussed.
DOI : 10.4153/CMB-2011-112-x
Mots-clés : 52A21, 52A10, 46C15, arc length, area-halving distance, Birkhoff orthogonality, convex curve, halving pair, halving distance, isosceles orthogonality, midpoint curve, Minkowski plane, normed plane, Zindler curve 
Martini, Horst; Wu, Senlin. On Zindler Curves in Normed Planes. Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 767-773. doi: 10.4153/CMB-2011-112-x
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