Geodesic
Semiholomorphic structures
Izvestiya. Mathematics , Tome 62 (1998) no. 5, pp. 1055-1071.

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We consider the $\operatorname{SU}(4)$-instanton equation on complex-oriented manifolds, introduce the notion of a semiholomorphic structure on bundles over these manifolds, and derive a condition for the notions of holomorphy and semiholomorphy to coincide. 
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N. A. Tyurin. Semiholomorphic structures. Izvestiya. Mathematics , Tome 62 (1998) no. 5, pp. 1055-1071. http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a8/

[1] Donaldson S., Thomas R., Gauge Theory in Higher Dimensions, Preprint 28, Oxford, 1996 | MR

[2] Donaldson S., Kronheimer P., The Geometry of Four-Manifolds, Clarendon Press, Oxford, 1990 | MR | Zbl