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- W3098783411 abstract "We show that a cone admits a gauge-reversing map if and only if it is a symmetric cone. We use this to prove that every isometry of a Hilbert geometry is a collineation unless the Hilbert geometry is the projective space of a non-Lorentzian symmetric cone, in which case the collineation group is of index two in the isometry group. We also determine the isometry group of the Thompson geometry on a cone." @default.
- W3098783411 created "2020-11-23" @default.
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- W3098783411 date "2017-10-31" @default.
- W3098783411 modified "2023-10-18" @default.
- W3098783411 title "Gauge-reversing maps on cones, and Hilbert and Thompson isometries" @default.
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- W3098783411 doi "https://doi.org/10.2140/gt.2018.22.55" @default.
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