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- W2891266616 abstract "In this paper, we show that a parallel differential form [Formula: see text] of even degree on a Riemannian manifold allows to define a natural differential both on [Formula: see text] and [Formula: see text], defined via the Frölicher–Nijenhuis bracket. For instance, on a Kähler manifold, these operators are the complex differential and the Dolbeault differential, respectively. We investigate this construction when taking the differential with respect to the canonical parallel [Formula: see text]-form on a [Formula: see text]- and [Formula: see text]-manifold, respectively. We calculate the cohomology groups of [Formula: see text] and give a partial description of the cohomology of [Formula: see text]." @default.
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- W2891266616 date "2018-11-01" @default.
- W2891266616 modified "2023-10-02" @default.
- W2891266616 title "Frölicher–Nijenhuis cohomology on G2- and Spin(7)-manifolds" @default.
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- W2891266616 doi "https://doi.org/10.1142/s0129167x18500751" @default.
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