Skew symmetric logarithms and geodesics on $O_n(\RR)$
Differential Geometry
2016-11-03 v1
Abstract
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 orthogonal matrices and the manifold of real orthogonal matrices equipped with the Riemannian structure induced by the Frobenius metric.
Keywords
Cite
@article{arxiv.1611.00588,
title = {Skew symmetric logarithms and geodesics on $O_n(\RR)$},
author = {Alberto Dolcetti and Donato Pertici},
journal= {arXiv preprint arXiv:1611.00588},
year = {2016}
}
Comments
22 pages