A Family of Metrics and Quasi-geodesics on the Manifold of Essential Matrices

Abstract

The manifold of essential matrices is equipped with a one-parameter family of (pseudo-)Riemannian metrics. For the whole family, explicit formulas for geodesics are derived. Moreover, specific curves, so-called quasi-geodesics, are studied and a closed form expression for a quasi-geodesic connecting two given essential matrices is obtained.

Mehr zum Titel

Titel A Family of Metrics and Quasi-geodesics on the Manifold of Essential Matrices
Medien Vortrag auf APCA International Conference on Automatic Control and Soft Computing (CONTROLO 2024)
Band 2024
Verfasser Markus Schlarb
Veröffentlichungsdatum 18.07.2024
Projekttitel DyCA
Zitation Schlarb, Markus (2024): A Family of Metrics and Quasi-geodesics on the Manifold of Essential Matrices. Vortrag auf APCA International Conference on Automatic Control and Soft Computing (CONTROLO 2024) 2024.