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

Alberto Dolcetti; Donato Pertici

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arXiv · 2001.10250

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

Alberto Dolcetti·Donato Pertici

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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 definite positive 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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Alberto Dolcetti, Donato Pertici. 2020-01-28. Elliptic isometries of the manifold of definite positive real matrices with the trace metric. https://arxiv.org/abs/2001.10250

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