Geodesic
Angle Measures and Bisectors in Minkowski Planes
Canadian mathematical bulletin, Tome 48 (2005) no. 4, pp. 523-534

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DOI

We prove that a Minkowski plane is Euclidean if and only if Busemann's or Glogovskij's definitions of angular bisectors coincide with a bisector defined by an angular measure in the sense of Brass. In addition, bisectors defined by the area measure coincide with bisectors defined by the circumference (arc length) measure if and only if the unit circle is an equiframed curve.
DOI : 10.4153/CMB-2005-048-0
Mots-clés : 52A10, 52A21, Radon curves, Minkowski geometry, Minkowski planes, angular bisector, angular measure, equiframed curves 
Düvelmeyer, Nico. Angle Measures and Bisectors in Minkowski Planes. Canadian mathematical bulletin, Tome 48 (2005) no. 4, pp. 523-534. doi: 10.4153/CMB-2005-048-0
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     author = {D\"uvelmeyer, Nico},
     title = {Angle {Measures} and {Bisectors} in {Minkowski} {Planes}},
     journal = {Canadian mathematical bulletin},
     pages = {523--534},
     year = {2005},
     volume = {48},
     number = {4},
     doi = {10.4153/CMB-2005-048-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-048-0/}
}
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