Yang-Mills connections and moduli space (Q1116102)

The author generalizes some results on deformations of Yang-Mills connections over 4-dimensional manifolds to higher dimensional cases. The main results are combined in two theorems. Theorem 1. The local pre- moduli space is a finite dimensional real analytic set. Theorem 2. The local pre-moduli space has a canonical Kähler structure. The author compares these results with the corresponding result for the moduli space of Einstein metrics. [See N. Koiso, Einstein metrics and complex structures, Invent. Math. 73, 71-106 (1983; Zbl 0515.53040)].