scholarly journals Concepts of curvatures in normed planes

2019 ◽  
Vol 37 (4) ◽  
pp. 347-381 ◽  
Author(s):  
Vitor Balestro ◽  
Horst Martini ◽  
Emad Shonoda
Keyword(s):  
Normed Planes

scholarly journals Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part II)

2012 ◽  
Vol 45 (7) ◽  
pp. 350-369 ◽  
Author(s):  
Javier Alonso ◽  
Horst Martini ◽  
Margarita Spirova
Keyword(s):  
Normed Planes

scholarly journals Minimum Manhattan Network Problem in Normed Planes with Polygonal Balls: A Factor 2.5 Approximation Algorithm

Algorithmica ◽  
2011 ◽  
Vol 63 (1-2) ◽  
pp. 551-567 ◽  
Author(s):  
N. Catusse ◽  
V. Chepoi ◽  
K. Nouioua ◽  
Y. Vaxès
Keyword(s):  
Approximation Algorithm ◽  
Network Problem ◽  
Normed Planes

On the stability of the unit circle with minimal self-perimeter in normed planes

2013 ◽  
Vol 131 (1) ◽  
pp. 69-87
Author(s):  
Horst Martini ◽  
Anatoly Shcherba
Keyword(s):  
Unit Circle ◽  
Minimal Self ◽  
The Stability ◽  
Normed Planes

Reduced bodies in normed planes

2007 ◽  
Vol 161 (1) ◽  
pp. 75-87 ◽  
Author(s):  
Ewa Fabińska ◽  
Marek Lassak
Keyword(s):  
Normed Planes

scholarly journals Angle measures, general rotations, and roulettes in normed planes

2016 ◽  
Vol 7 (4) ◽  
pp. 549-575 ◽  
Author(s):  
Vitor Balestro ◽  
Ákos G. Horváth ◽  
Horst Martini
Keyword(s):  
Normed Planes

scholarly journals Geometric properties of a sine function extendable to arbitrary normed planes

2016 ◽  
Vol 182 (4) ◽  
pp. 781-800 ◽  
Author(s):  
Vitor Balestro ◽  
Horst Martini ◽  
Ralph Teixeira
Keyword(s):  
Sine Function ◽  
Geometric Properties ◽  
Normed Planes

On Reduced Triangles in Normed Planes

2013 ◽  
Vol 64 (3-4) ◽  
pp. 269-288 ◽  
Author(s):  
Javier Alonso ◽  
Horst Martini ◽  
Margarita Spirova
Keyword(s):  
Normed Planes

On Zindler Curves in Normed Planes

2012 ◽  
Vol 55 (4) ◽  
pp. 767-773
Author(s):  
Horst Martini ◽  
Senlin Wu
Keyword(s):  
Euclidean Plane ◽  
Constant Area ◽  
Zindler Curves ◽  
Normed Planes

AbstractWe 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.

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