Skew symmetric logarithms and geodesics on O n (ℝ)-Reference-Cited by-同舟云学术

Skew symmetric logarithms and geodesics on O n (ℝ)

Published:2018-07-20 Issue:4 Volume:18 Page:495-507
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Dolcetti Alberto¹,Pertici Donato¹

Affiliation:

1. Dipartimento di Matematica e Informatica “Ulisse Dini” , Viale Morgagni 67/a, 50134 Firenze , Italia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2018-0012/pdf

Reference21 articles.

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5. A. Dolcetti, D. Pertici, Some differential properties of GLn(ℝ) with the trace metric. Riv. Math. Univ. Parma (N.S.) 6 (2015), 267–286. MR3496672 Zbl 1345.53073

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