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Explicit formulas for the 3-jet lift of a matrix group. Applications to conformal geometry

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Aguirre Dabán, Eduardo and Sánchez Rodríguez, Ignacio (1998) Explicit formulas for the 3-jet lift of a matrix group. Applications to conformal geometry. pp. 191-205.

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Official URL: http://www.emis.de/proceedings/Braga97/



Abstract

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


Item Type:Article
Subjects:Sciences > Mathematics > Differential geometry
ID Code:20288
Deposited On:06 Mar 2013 15:06
Last Modified:12 Dec 2018 15:13

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