Geodesic
Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies
Archivum mathematicum, Tome 32 (1996) no. 4, pp. 267-280

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We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.
Classification : 53C10, 53C80, 73B99, 73K99, 74A20, 74A35, 74E15
Keywords: Cosserat media; rods; shells; uniformity; homogeneity; non-holonomic frame bundles; non-holonomic G-structures; connections 
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     author = {Epstein, Marcelo and de Le\'on, Manuel},
     title = {Uniformity and homogeneity of elastic rods, shells and {Cosserat} three-dimensional bodies},
     journal = {Archivum mathematicum},
     pages = {267--280},
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     volume = {32},
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     zbl = {0881.73003},
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     url = {http://geodesic.mathdoc.fr/item/ARM_1996__32_4_a2/}
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Epstein, Marcelo; de León, Manuel. Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies. Archivum mathematicum, Tome 32 (1996) no. 4, pp. 267-280. http://geodesic.mathdoc.fr/item/ARM_1996__32_4_a2/