Alberto Dolcetti

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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 $G L_{n} (R)$ with the trace metric

Alberto Dolcetti, Donato Pertici

In this note we consider some properties of $G L_{n} (R)$ with the Semi-Riemannian structure induced by the trace metric $g$ . In particular we study geodesics and curvature te…

Skew symmetric logarithms and geodesics on $O_n(\RR)$

Some differential properties of GLn​(R) with the trace metric

Some differential properties of $G L_{n} (R)$ with the trace metric