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Conformally flat spaces and solutions to Yang-Mills equations
Phys. Rev. D 21, 970 – Published 15 February, 1980
DOI: https://doi.org/10.1103/PhysRevD.21.970
Abstract
Using the conformal invariance of Yang-Mills equations in four-dimensional manifolds, it is proved that in a simply connected space of negative constant curvature Yang-Mills equations admit solutions with any real number as their Pontryagin number. It is also shown that the space which is the regular counterpart of the meron solution is one example of a class of solutions to Yang-Mills equations on compact manifolds that are neither self-dual nor anti-self-dual.
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