minkowski geometries
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Author(s):  
Árpád Kurusa

AbstractA Minkowski plane is Euclidean if and only if at least one ellipse is a quadric. We discuss the higher dimensional consequences too.



2018 ◽  
Vol 92 (5) ◽  
pp. 949-961
Author(s):  
Árpád Kurusa
Keyword(s):  


2018 ◽  
pp. 145-159
Author(s):  
Athanase Papadopoulos
Keyword(s):  


2017 ◽  
Vol 512 ◽  
pp. 172-190 ◽  
Author(s):  
Ákos G. Horváth
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Author(s):  
Joshua M. Fitzhugh ◽  
David L. Farnsworth

We study the outcome of taking midsets of two lines inℓ1geometry. We establish the algorithm for repeatedly finding these midsets and characterize the limiting midsets. We discuss the issue of angle measurement in Minkowski geometries, especially with respect to the limiting midsets.





2002 ◽  
Vol 40 (3-4) ◽  
pp. 277-301 ◽  
Author(s):  
Eugene Gutkin ◽  
Serge Tabachnikov
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