# Graded derivations of the algebra of differential forms associated with a connection

```@article{Michor1989GradedDO,
title={Graded derivations of the algebra of differential forms associated with a connection},
author={Peter W. Michor},
journal={Lecture Notes in Mathematics},
year={1989},
volume={1410},
pages={249-261}
}```
• P. Michor
• Published 1 February 1992
• Mathematics
• Lecture Notes in Mathematics
The central part of calculus on manifolds is usually the calculus of differential forms and the best known operators are exterior derivative, Lie derivatives, pullback and insertion operators. Differential forms are a graded commutative algebra and one may ask for the space of graded derivations of it. It was described by Frolicher and Nijenhuis in [1], who found that any such derivation is the sum of a Lie derivation Θ(K) and an insertion operator i(L) for tangent bundle valued differential…
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## References

SHOWING 1-10 OF 21 REFERENCES
Gauge Theory for Diffeomorphism Groups
We consider fibre bundles without structure group and develop the theory of connections, curvature, parallel transport, (nonlinear) frame bundle, the gauge group and it’s action on the space of
Integral curves of derivations., to appear
• J. Global Analysis and Geometry
Theory of vector valued di erential forms
• Part I, Indagationes Math
• 1956
Fibered spaces
• Jet spaces and Connections for Field Theories, Proceedings of the International Meeting on Geometry and Physics, Florence 1982, Pitagora, Bologna
• 1983
Foundations of Diierential Geometry
• Foundations of Diierential Geometry
• 1963
Determination of all natural bilinear operators of the type of the Frr olicher- Nijenhuis bracket
• Suppl. Rendiconti Circolo Mat. Palermo, Series II No
• 1987