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Elliptic isometries of the manifold of positive definite real matrices with the trace metric

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Abstract

We study the differential-geometric properties of the loci of fixed points of the elliptic isometries of the manifold of positive definite real matrices with the trace metric. We also give an explicit description of such loci and in particular we find their De Rham decomposition.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica “Ulisse Dini”, Viale Morgagni 67/a, 50134, Florence, Italy

    Alberto Dolcetti & Donato Pertici

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  1. Alberto Dolcetti
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  2. Donato Pertici
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Correspondence to Donato Pertici.

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This research was partially supported by GNSAGA-INdAM (Italy).

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Dolcetti, A., Pertici, D. Elliptic isometries of the manifold of positive definite real matrices with the trace metric. Rend. Circ. Mat. Palermo, II. Ser 70, 575–592 (2021). https://doi.org/10.1007/s12215-020-00510-9

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  • DOI: https://doi.org/10.1007/s12215-020-00510-9

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