Dynamics Over Homogeneous Spaces

Filiz Çağatay Uçgun, Oğul Esen, Serkan Sütlü

We present the Euler-Lagrange and Hamilton's equations for a system whose configuration space is a unified product Lie group $G=M{\bowtie }_{\gamma }H$, for some $\gamma :M\times M\to H$. By redu…