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math.DG2023
New notions of uniformity and homogeneity of Cosserat media
V. M. Jiménez, M. De León
In this paper, we study internal properties of a Cosserat media. In fact, by using groupoids and smooth distributions, we obtain a three canonical equations. The \textit{non-holono…
math.DG2017★ 5 cited
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…