minkowski geometries
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scholarly journals Quadratic ellipsoids in Minkowski geometries

2021 ◽  
Author(s):  
Árpád Kurusa
Keyword(s):  
Minkowski Plane ◽  
Higher Dimensional ◽  
Minkowski Geometries

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

Conics in Minkowski geometries

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

Busemann’s Work on the Characterization of Minkowski Geometries

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

scholarly journals Isometries of Minkowski geometries

2017 ◽  
Vol 512 ◽  
pp. 172-190 ◽  
Author(s):  
Ákos G. Horváth
Keyword(s):  
Minkowski Geometries

An introduction to Minkowski geometries

2015 ◽  
Vol 47 (5) ◽  
pp. 772-790 ◽  
Author(s):  
David L. Farnsworth
Keyword(s):  
Minkowski Geometries

scholarly journals The Behavior of Midsets When Repeatedly Taking the Midset of Two Lines inℓ1Geometry

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Joshua M. Fitzhugh ◽  
David L. Farnsworth
Keyword(s):  
Angle Measurement ◽  
Minkowski Geometries

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.

Curve Shortening and the Banchoff–Pohl Inequality in Symmetric Minkowski Geometries

2006 ◽  
Vol 29 (4) ◽  
pp. 323-332
Author(s):  
Bernd Su˙ssmann
Keyword(s):  
Minkowski Geometries ◽  
Curve Shortening

Billiards in Finsler and Minkowski geometries

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