Abstract
Let (M,Q) be a quaternionic manifold. Conditions for existence of hypercomplex structures H subordinated to the quaternionic structure Q are determined, in particular for a quaternionic Kähler manifold (M,g,Q). Some special systems of almost hypercomplex structures which are admissible for Q are also considered and their relationships with quaternionic transformations are indicated.
Work done under the program of G.N.S.A.G.A. of C.N.R. and partially financed by M.U.R.S.T.
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© 1996 Kluwer Academic Publishers
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Alekseevsky, D.V., Marchiafava, S. (1996). Hypercomplex structures on quaternionic manifolds. In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_1
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DOI: https://doi.org/10.1007/978-94-009-0149-0_1
Publisher Name: Springer, Dordrecht
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