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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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