-measures in Minkowski planes.
Fankhänel, Andreas (2009)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Tangent segments in Minkowski planes.”
-measures in Minkowski planes.
A new type of orthogonality for normed planes
Horst Martini, Margarita Spirova (2010)
Czechoslovak Mathematical Journal
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In this paper we introduce a new type of orthogonality for real normed planes which coincides with usual orthogonality in the Euclidean situation. With the help of this type of orthogonality we derive several characterizations of the Euclidean plane among all normed planes, all of them yielding also characteristic properties of inner product spaces among real normed linear spaces of dimensions .
Lower levels of Euclidean planes.
Quaisser, Erhard (1998)
Beiträge zur Algebra und Geometrie
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Some Generalization of Nearaffine Planes
Jan Jakóbowski (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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There are three kinds of Benz planes: Möbius planes, Laguerre planes and Minkowski planes. A Minkowski plane satisfying an additional axiom is connected with some other structure called a nearaffine plane. We construct an analogous structure for a Laguerre plane. Moreover, our description is common for both cases.
Extending Nearaffine Planes to Hyperbola Structures
Kinga Cudna-Salmanowicz, Jan Jakóbowski (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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H. A. Wilbrink [Geom. Dedicata 12 (1982)] considered a class of Minkowski planes whose restrictions, called residual planes, are nearaffine planes. Our study goes in the opposite direction: what conditions on a nearaffine plane are necessary and sufficient to get an extension which is a hyperbola structure.
A universal construction for projective Hjelmslev planes of level
G. Hanssens, H. Van Maldeghem (1989)
Compositio Mathematica
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The Blasius function in the complex plane.
Boyd, John P. (1999)
Experimental Mathematics
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On the stability of the unit circle with minimal self-perimeter in normed planes
Horst Martini, Anatoly Shcherba (2013)
Colloquium Mathematicae
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We prove a stability result on the minimal self-perimeter L(B) of the unit disk B of a normed plane: if L(B) = 6 + ε for a sufficiently small ε, then there exists an affinely regular hexagon S such that S ⊂ B ⊂ (1 + 6∛ε) S.
A family of flat Minkowski planes admitting 3-dimensional simple groups of automorphisms.
Steinke, Günter F. (2004)
Advances in Geometry
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On the size of maximal caps in .
Metsch, K. (2003)
Advances in Geometry
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