Publicación: Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media
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Fecha
2018
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Atribución-NoComercial-SinDerivadas 4.0 Internacional
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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World Scientific
Resumen
A Lie groupoid, called second-order non-holonomic material Lie groupoid, is associated in a natural way to any Cosserat medium. This groupoid is used to give a new definition of homogeneity which does not depend on a material archetype. The corresponding Lie algebroid, called 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 obtained ones in terms of non-holonomic second-order G¯¯¯¯ -structures.
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Categorías UNESCO
Palabras clave
Hamilton–Jacoby theory, constraint algorithm, singular Lagrangian system, presymplectic geometry
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Centro
Facultad de Ciencias
Departamento
Matemáticas Fundamentales