Locally Classical Topological Benz Planes are Classical.
Günter Steinke (1983)
Mathematische Zeitschrift
Similarity:
Displaying similar documents to “Criteria for two-dimensional circle planes.”
Locally Classical Topological Benz Planes are Classical.
Lower levels of Euclidean planes.
Quaisser, Erhard (1998)
Beiträge zur Algebra und Geometrie
Similarity:
The Blasius function in the complex plane.
Boyd, John P. (1999)
Experimental Mathematics
Similarity:
Some Generalization of Nearaffine Planes
Jan Jakóbowski (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
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.
A universal construction for projective Hjelmslev planes of level
G. Hanssens, H. Van Maldeghem (1989)
Compositio Mathematica
Similarity:
Tangent segments in Minkowski planes.
Wu, Senlin (2008)
Beiträge zur Algebra und Geometrie
Similarity:
A Treatise on Plane Trigonometry
Ernest William Hobson
Similarity:
A Construction of a Skewaffine Structure in Laguerre Geometry
Andrzej Matraś (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
J. Andre constructed a skewaffine structure as a group space of a normally transitive group. In this paper his construction is used to describe the structure of the set of circles not passing through a point of a Laguerre plane. Sufficient conditions to ensure that this structure is a skewaffine plane are given.
Some Moebius-geometric theorems connected to Euclidean kinematics.
Weiss, Gunter, Nestler, Karla, Meinl, Gert (1999)
Journal for Geometry and Graphics
Similarity:
Some Connections between Minkowski and Hyperbolic Planes
Jarosław Kosiorek, Andrzej Matraś (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
The model of the Minkowski plane in the projective plane with a fixed conic sheds a new light on the connection between the Minkowski and hyperbolic geometries. The construction of the Minkowski plane in a hyperbolic plane over a Euclidean field is given. It is also proved that the geometry in an orthogonal bundle of circles is hyperbolic in a natural way.
On finite circular spaces.
Günaltılı, İ., Akça, Z., Olgun, Ş. (2006)
APPS. Applied Sciences
Similarity:
On some hyperbolic planes from finite projective planes.
Celik, Basri (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Extending Nearaffine Planes to Hyperbola Structures
Kinga Cudna-Salmanowicz, Jan Jakóbowski (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
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.