Liouville Foliation of Topological Billiards in the Minkowski Plane

2021 ◽  
Author(s):  
E. E. Karginova
Keyword(s):  
Minkowski Plane ◽  
Liouville Foliation

Self-Circumference in the Minkowski Plane

1989 ◽  
Author(s):  
Mostafa Ghandehari ◽  
Richard Pfiefer
Keyword(s):  
Minkowski Plane

A Characterization of Some Geometries of Chains

1974 ◽  
Vol 26 (02) ◽  
pp. 257-272 ◽  
Author(s):  
Yi Chen
Keyword(s):  
Projective Plane ◽  
Minkowski Plane ◽  
Close Relation ◽  
Laguerre Plane ◽  
Geometric Structures ◽  
Möbius Plane

The geometries considered here are the Möbius plane M() (W. Benz [1]), the Laguerre plane L() (W. Benz and H. Mäurer [7]) and the Minkowski plane A() (W. Benz [5], G. Kaerlein [18]) over a field . All of them are geometries of an algebra with identity over a field. The characterization of the projective plane over a field by the proposition of Pappus first gave a close relation between algebraic and geometric structures. B. L. v. d. Waedern and L. J. Smid [28] presented a further example by characterizing the Möbius and Laguerre plane with incidence axioms and the "complete" proposition of Miquel.

On geometric interpretation of pseudo-angle in Minkowski plane

2017 ◽  
Vol 14 (05) ◽  
pp. 1750068
Author(s):  
Emilija Nešović
Keyword(s):  
Minkowski Plane ◽  
Geometric Interpretation

In this paper, we introduce pseudo-perpendicular vectors in Minkowski plane and give geometric interpretations of the oriented pseudo-angles in terms of the hyperbolic arcs of finite hyperbolic lengths.

Trigonometry in the Hyperbolic (Minkowski) Plane

2011 ◽  
pp. 33-55
Author(s):  
Francesco Catoni ◽  
Dino Boccaletti ◽  
Roberto Cannata ◽  
Vincenzo Catoni ◽  
Paolo Zampetti
Keyword(s):  
Minkowski Plane
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