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.
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| Titel | A Family of Metrics and Quasi-geodesics on the Manifold of Essential Matrices |
|---|---|
| Medien | CONTROLO 2024. Lecture Notes in Electrical Engineering |
| Verlag | Springer, Cham |
| Herausgeber | Aguiar, A.P., Rocha Malonek, P., Pinto, V.H., Fontes, F.A.C.C., Chertovskih, R. |
| Band | 1325 |
| Verfasser | Markus Schlarb |
| Seiten | 163–175 |
| Veröffentlichungsdatum | 23.04.2025 |
| Projekttitel | DyCA |
| Zitation | Schlarb, Markus (2025): A Family of Metrics and Quasi-geodesics on the Manifold of Essential Matrices. CONTROLO 2024. Lecture Notes in Electrical Engineering 1325, 163–175. DOI: 10.1007/978-3-031-81724-3_16 |