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Skew symmetric logarithms and geodesics on On(ℝ)

Skew symmetric logarithms and geodesics on On(ℝ) AbstractWe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Geometry de Gruyter

Skew symmetric logarithms and geodesics on On(ℝ)

Dolcetti, Alberto; Pertici, Donato
Advances in Geometry , Volume 18 (4): 13 – Oct 25, 2018
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13 pages

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1615-7168
eISSN
1615-7168
DOI
10.1515/advgeom-2018-0012
Publisher site
See Article on Publisher Site

Abstract

AbstractWe 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.

Journal

Advances in Geometry – de Gruyter

Published: Oct 25, 2018

References

  • The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data