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- W1639481671 abstract "Let (M,I,J,K) be a compact hypercomplex manifold admitting an HKT-metric. Assume that the canonical bundle of (M,I) is trivial as a holomorphic line bundle. We show that the holonomy of Obata connection on M is contained in SL(n,H). In Appendix we apply these arguments to compact nilmanifolds equipped with abelian hypercomplex structures, showing that such manifolds have holonomy in SL(n,H)." @default.
- W1639481671 created "2016-06-24" @default.
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- W1639481671 date "2007-10-30" @default.
- W1639481671 modified "2023-09-23" @default.
- W1639481671 title "Hypercomplex manifolds with trivial canonical bundle and their holonomy" @default.
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- W1639481671 doi "https://doi.org/10.1090/trans2/221/12" @default.
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