3 papers
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…
math.DG2016
Skew symmetric logarithms and geodesics on $O_n(\RR)$
Alberto Dolcetti, Donato Pertici
We investigate the connections between the differential-geometric properties of the exponential map from the space of real skew symmetric matrices onto the group of real special or…
math.DG2014
Some differential properties of with the trace metric
Alberto Dolcetti, Donato Pertici
In this note we consider some properties of with the Semi-Riemannian structure induced by the trace metric . In particular we study geodesics and curvature te…