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Special tangent valued forms and the Frölicher-Nijenhuis bracket. (English) Zbl 0801.53014
Summary: We define the tangent valued $$\mathcal C$$-forms for a large class of differential geometric categories. We deduce that the Frölicher- Nijenhuis bracket of two tangent valued $$\mathcal C$$ forms is a $$\mathcal C$$-form as well. Then we discuss several concrete cases and we outline the relations to the theory of special connections.
##### MSC:
 53C05 Connections (general theory)
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