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

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DOI

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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     author = {Martini, Horst and Wu, Senlin},
     title = {On {Zindler} {Curves} in {Normed} {Planes}},
     journal = {Canadian mathematical bulletin},
     pages = {767--773},
     year = {2012},
     volume = {55},
     number = {4},
     doi = {10.4153/CMB-2011-112-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-112-x/}
}
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