Skew symmetric logarithms and geodesics on O_n(\RR)

2016/11/02 by Alberto Dolcetti, Dolcetti, Alberto, Donato Pertici +1
Computer Science · Mathematics · #15A16 #53C22 #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.1611.00588

openalex publication_date 2016/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Riemannian geometry and matrix geometric means

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