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math.DG2020★ 2 cited
Real square roots of matrices: differential properties in semi-simple, symmetric and orthogonal cases
Alberto Dolcetti, Donato Pertici
We study the differential and metric structures of the set of real square roots of a non-singular real matrix, under the assumption that the matrix and its square roots are semi-si…
math.DG2020
Elliptic isometries of the manifold of definite positive real matrices with the trace metric
Alberto Dolcetti, Donato Pertici
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 a…