Explicit formulas for the 3-jet lift of a matrix group. Applications to conformal geometry
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 first res...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/58335 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/58335 |
| Access Level: | acceso abierto |
| Palabra clave: | 514.7 Geometría diferencial 1204.04 Geometría Diferencial |
| Sumario: | 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 first result is that G3 is isomorphic to a semidirect product of G itself and a nilpotent group constructed from the first 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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