Bilge, Ayşe HümeyraBilge, Ayşe Hümeyra2021-01-022021-01-02201601742-65881742-65961742-65881742-6596https://hdl.handle.net/20.500.12469/3704https://doi.org/10.1088/1742-6596/670/1/012011Let M be an 8-manifold and E be an SO(8) bundle on M. In a previous paper [F. Ozdemir and A.H. Bilge, "Self-duality in dimensions 2n > 4: equivalence of various definitions and the derivation of the octonionic instanton solution", ARI (1999) 51:247-253], we have shown that if the second Pontrjagin number p(2) of the bundle E is minimal, then the components of the curvature 2-form matrix F with respect to a local orthonormal frame are F-ij = c(ij)omega(ij), where c(ij)'s are certain functions and the omega(ij)'s are strong self-dual 2-forms such that for all distinct j, k, l, the products omega(ij)omega(jk) are self dual and omega(ij)omega(kl) are anti self-dual. We prove that if the c(ij)'s are equal to each other and the manifold M is conformally flat, then the octonionic instanton solution given in [B.Grossman, T.W.Kephart, J.D.Stasheff, Commun. Math. Phys., 96, 431-437, (1984)] is unique in this classeninfo:eu-repo/semantics/openAccessFieldsConference Object670WOS:00038208370001110.1088/1742-6596/670/1/0120112-s2.0-84962408639N/AN/A