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On isometries of the symmetric space $P_{1}(3,\mathbb {R})$

Volume 135 / 2014

Gašper Zadnik Colloquium Mathematicum 135 (2014), 85-102 MSC: Primary 53C20. DOI: 10.4064/cm135-1-7


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.


  • Gašper ZadnikInštitut za Matematiko, Fiziko in Mehaniko
    Jadranska 19
    SI-1111 Ljubljana, Slovenia

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