Geodesic
On isometries of the symmetric space $P_{1}(3,\mathbb {R})$
Gašper Zadnik1
1 Inštitut za Matematiko, Fiziko in Mehaniko Jadranska 19 SI-1111 Ljubljana, Slovenia
Colloquium Mathematicum, Tome 135 (2014) no. 1, pp. 85-102

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm135-1-7
Keywords: classify isometries non identity component whole isometry group symmetric space positive times matrices determinant determine translation lengths minimal spaces fixed points infinity

Gašper Zadnik 1

1 Inštitut za Matematiko, Fiziko in Mehaniko Jadranska 19 SI-1111 Ljubljana, Slovenia 
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Gašper Zadnik. On isometries of the symmetric space $P_{1}(3,\mathbb {R})$. Colloquium Mathematicum, Tome 135 (2014) no. 1, pp. 85-102. doi: 10.4064/cm135-1-7

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