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- W38567965 abstract "It has long been known that differential forms on a complex manifold M 2n can be decomposed under the action of the complex structure to give the Dolbeault complex. This paper presents an analogous double complex for a quaternionic manifold M 4n using the fact that its cotangent space T ∗ m M is isomorphic to the quaternionic vector space H n . This defines an action of the group Sp(1) of unit quaternions on T ∗ M, which induces an action of Sp(1) on the space of k-forms" @default.
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- W38567965 date "2002-01-01" @default.
- W38567965 modified "2023-10-16" @default.
- W38567965 title "A Dolbeault-type double complex on quaternionic manifolds" @default.
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- W38567965 doi "https://doi.org/10.4310/ajm.2002.v6.n2.a3" @default.
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