Integral curves of derivations

✍ Scribed by J. Monteverde; A. Montesinos

• Publisher: Springer
• Year: 1988
• Tongue: English
• Weight: 627 KB
• Volume: 6
• Category: Article
• ISSN: 0232-704X
• DOI: 10.1007/bf00133038

✦ Synopsis

Integral curves of derivations*

1. MONTERDE and A. MONTESINOS

We integrate, by a constructive method, derivations of even degree on the sections of an exterior bundle by families of Z 2 -graded algebra automorphisms, dependent on a real parameter, and which satisfy a flow condition. We also study the case of local endomorphisms when their components of degree zero are derivations and with no component of negative degree, but then we have integral families of R-linear automorphisms. This integration method can be applied to the Fr6licher-Nijenhuis derivations on the Cartan algebra of differential forms, and to the integration of superfields on graded manifolds. * Research partially supported by the "Comisi6n Asesora Investigaci6n Cientifica y T&cnica" of the Spanish Ministry of Education, program 1985-87, number 120.