Some Connections between Minkowski and Hyperbolic Planes

Jarosław Kosiorek, and Andrzej Matraś. "Some Connections between Minkowski and Hyperbolic Planes." Bulletin of the Polish Academy of Sciences. Mathematics 52.2 (2004): 133-139. <http://eudml.org/doc/280596>.

@article{JarosławKosiorek2004,
abstract = {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.},
author = {Jarosław Kosiorek, Andrzej Matraś},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
language = {eng},
number = {2},
pages = {133-139},
title = {Some Connections between Minkowski and Hyperbolic Planes},
url = {http://eudml.org/doc/280596},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Jarosław Kosiorek
AU - Andrzej Matraś
TI - Some Connections between Minkowski and Hyperbolic Planes
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 2
SP - 133
EP - 139
AB - 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.
LA - eng
UR - http://eudml.org/doc/280596
ER -