The Double Tangency Symmetries in Laguerre Plane

Jarosław Kosiorek, and Andrzej Matraś. "The Double Tangency Symmetries in Laguerre Plane." Bulletin of the Polish Academy of Sciences. Mathematics 55.2 (2007): 123-137. <http://eudml.org/doc/280972>.

@article{JarosławKosiorek2007,
abstract = {The group generated by double tangency symmetries in a Laguerre plane is investigated. The geometric classification of involutions of a symmetric Laguerre plane is given. We introduce the notion of projective automorphisms using the double tangency and parallel perspectivities. We give the description of the groups of projective automorphisms and automorphisms generated by double tangency symmetries as subgroups of the group M(𝔽,ℝ) of automorphisms of a chain geometry Σ(𝔽,ℝ) following Benz.},
author = {Jarosław Kosiorek, Andrzej Matraś},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Miquelian Laguerre plane; double tangency symmetry; projective automorphism},
language = {eng},
number = {2},
pages = {123-137},
title = {The Double Tangency Symmetries in Laguerre Plane},
url = {http://eudml.org/doc/280972},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Jarosław Kosiorek
AU - Andrzej Matraś
TI - The Double Tangency Symmetries in Laguerre Plane
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 2
SP - 123
EP - 137
AB - The group generated by double tangency symmetries in a Laguerre plane is investigated. The geometric classification of involutions of a symmetric Laguerre plane is given. We introduce the notion of projective automorphisms using the double tangency and parallel perspectivities. We give the description of the groups of projective automorphisms and automorphisms generated by double tangency symmetries as subgroups of the group M(𝔽,ℝ) of automorphisms of a chain geometry Σ(𝔽,ℝ) following Benz.
LA - eng
KW - Miquelian Laguerre plane; double tangency symmetry; projective automorphism
UR - http://eudml.org/doc/280972
ER -