Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media
| Autor: | Jiménez, V. M., de León, M., Esptein, M. |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0219887818300039 |
| Popis: | 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 definition of homogeneity which does not depend on a reference crystal. The corresponding Lie algebroid, called \textit{second-order non-holonomic material Lie algebroid}, is used to characterize the homogeneity property of the material. We also relate these results with the previously ones in terms of non-holonomic second-order $\overline{G}$-structures. Comment: arXiv admin note: substantial text overlap with arXiv:1607.04043 |
| Databáze: | arXiv |
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