On isometries of the symmetric space P₁(3,ℝ)

Gašper Zadnik. "On isometries of the symmetric space P₁(3,ℝ)." Colloquium Mathematicae 135.1 (2014): 85-102. <http://eudml.org/doc/284023>.

@article{GašperZadnik2014,
abstract = {We classify the isometries in the non-identity component of the whole isometry group of the symmetric space of positive 3 × 3 matrices of determinant 1: we determine the translation lengths, minimal spaces and fixed points at infinity.},
author = {Gašper Zadnik},
journal = {Colloquium Mathematicae},
keywords = {symmetric space; space; isometry; space of positive definite matrices},
language = {eng},
number = {1},
pages = {85-102},
title = {On isometries of the symmetric space P₁(3,ℝ)},
url = {http://eudml.org/doc/284023},
volume = {135},
year = {2014},
}

TY - JOUR
AU - Gašper Zadnik
TI - On isometries of the symmetric space P₁(3,ℝ)
JO - Colloquium Mathematicae
PY - 2014
VL - 135
IS - 1
SP - 85
EP - 102
AB - We classify the isometries in the non-identity component of the whole isometry group of the symmetric space of positive 3 × 3 matrices of determinant 1: we determine the translation lengths, minimal spaces and fixed points at infinity.
LA - eng
KW - symmetric space; space; isometry; space of positive definite matrices
UR - http://eudml.org/doc/284023
ER -