More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry (Q1371295)
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scientific article; zbMATH DE number 1080527
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| English | More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry |
scientific article; zbMATH DE number 1080527 |
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More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry (English)
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22 June 1998
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It is known that in commutative differential geometry the Frölicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. \textit{A. Cap}, \textit{P. Kriegl}, \textit{P. W. Michor} and \textit{J. Vanzuřa} [Acta Math. Univ. Comen. 62, 17-49 (1993; Zbl 0830.58002)] develop the Fröhlicher-Nijenhuis bracket for universal differential forms of noncommutative algebras. In the present paper the authors continue these investigations for several kinds of differential graded algebras based on derivations which were introduced by \textit{M. Dubois-Voilette} in [C. R. Acad. Sci. Paris, Sér. I 307, 403-408 (1988; Zbl 0661.17012)].
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commutative differential geometry
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Frölicher-Nijenhuis bracket
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differential graded algebras
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0.8974785
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0.8936198
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0.8884839
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