A note on hyper-Hermitian four-manifolds

Boyer, Charles P.

doi:10.1090/S0002-9939-1988-0915736-8

A note on hyper-Hermitian four-manifolds
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Proc. Amer. Math. Soc. 102 (1988), 157-164 Request permission

Abstract:

It is shown that the only hyperhermitian four-manifolds are, up to conformal equivalence, tori and ${K^3}$ surfaces with their standard hyperKähler structures and certain conformally flat Hopf surfaces.

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