Study establishes canonical and Kobayashi-Nomizu connections in Heisenberg group, revealing properties of Killing vectors and magnetic curves.
This study establishes the canonical connection and Kobayashi-Nomizu connection within the Heisenberg group ( { H _3} , 1) through a systematic derivation based on the Levi-Civita connection framework. Following this, explicit expressions for Killing vector fields are determined, and analytical formulae for Killing magnetic curves associated with both the canonical connection and the Kobayashi-Nomizu connection are derived.
No takes yet. Share an insight, caveat, or question.
Jiang et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: