Abstract
It is known that certain self-dual connections are defined on quaternionic Kähler manifolds. A.D.H.M-vanishing theorem H 1( P 3, F(−2)) = 0 is generalized to anti-self-dual bundles on an arbitrary quaternionic Kähler manifolds with positive scalar curvature. The cohomology group is related to the solution space of quaternionic operators.
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