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Título:
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Explicit formulas for the 3-jet lift of a matrix group. Applications to conformal geometry
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Autores:
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Aguirre Dabán, Eduardo ;
Sánchez Rodríguez, Ignacio
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Tipo de documento:
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texto impreso
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Editorial:
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Centro de Matematica da Universidade do Minho, 1998
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría diferencial
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Tipo = Artículo
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Resumen:
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Jet lifts of groups of matrices enter into play when one studies the problem of integrability of G-structures as it was posed by V. Guillemin in his seminal work [Trans. Amer. Math. Soc. 116 (1965), 544–560;]. The authors of the present paper analyze carefully the case of 3-jet lifts. Their ?rst result is that G3 is isomorphic to a semidirect product of G itself and a nilpotent group constructed from the ?rst two prolongations of its Lie algebra. This result permits them to discuss several natural representations of G3 . An application to the case of the conformal group is given
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En línea:
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https://eprints.ucm.es/id/eprint/20288/1/02aguirre.pdf
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