3 papers
math.DG2024
Some Riemannian properties of endowed with a bi-invariant metric
Donato Pertici, Alberto Dolcetti
We study some properties of endowed with the Frobenius metric , which is, up to a positive constant multiple, the unique bi-invariant Riemannian metric on . In part…
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…