On dual quaternions, dual split quaternions and Cartan-Schouten metrics on perfect Lie groups

DOI10.1007/978-3-031-52681-7_15MaRDI QIDQ6610756

André Diatta, Fatimata Sy, Bakary Manga

Publication date: 26 September 2024

zbMATH Keywords

cotangent bundleMinkowski spacegeodesicrigid motioncovariant derivativeparallel metricbi-invariant metricdual quaternionscrew motiondual split quaternionCartan-Schouten connectionCartan-Schouten metric

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) General properties and structure of complex Lie groups (22E10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Linear and affine connections (53B05) Local Lie groups (22E05) Differential geometric aspects of statistical manifolds and information geometry (53B12)

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