Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media

V. M. Jiménez, M. de León, M. Esptein

A Lie groupoid, called \textit{second-order non-holonomic material Lie groupoid}, is associated in a natural way to any Cosserat media. This groupoid is used to give a new definiti…