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.
Elliptic isometries of the manifold of positive definite real matrices with the trace metric / Alberto, Dolcetti; Donato, Pertici. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - STAMPA. - 70:(2021), pp. 575-592. [10.1007/s12215-020-00510-9]
Elliptic isometries of the manifold of positive definite real matrices with the trace metric
Alberto, Dolcetti;Donato, Pertici
2021
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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