On isometries of the symmetric space $P_{1}(3,\mathbb {R})$
Volume 135 / 2014
Colloquium Mathematicum 135 (2014), 85-102
MSC: Primary 53C20.
DOI: 10.4064/cm135-1-7
Abstract
We classify the isometries in the non-identity component of the whole isometry group of the symmetric space of positive $3\times 3$ matrices of determinant 1: we determine the translation lengths, minimal spaces and fixed points at infinity.
