On isometries of the symmetric space P₁(3,ℝ)
Gašper Zadnik
Colloquium Mathematicae, Tome 135 (2014), p. 85-102 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:284023 
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     author = {Ga\v sper Zadnik},
     title = {On isometries of the symmetric space P1(3,R)},
     journal = {Colloquium Mathematicae},
     volume = {135},
     year = {2014},
     pages = {85-102},
     zbl = {1302.53060},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-7}
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Gašper Zadnik. On isometries of the symmetric space P₁(3,ℝ). Colloquium Mathematicae, Tome 135 (2014) pp. 85-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm135-1-7/