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.
Skew symmetric logarithms and geodesics on O_n(R) / Alberto, Dolcetti; Donato, Pertici. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - STAMPA. - 18:(2018), pp. 495-507. [10.1515/advgeom-2018-0012]
Skew symmetric logarithms and geodesics on O_n(R)
Alberto, Dolcetti;Donato, Pertici
2018
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.
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