Bogomolny equations

is the exterior covariant derivative induced by

These equations are named after E. B. Bogomolny and were studied extensively by Michael Atiyah and Nigel Hitchin.

[1][2] The equations are a dimensional reduction of the self-dual Yang–Mills equations from four dimensions to three dimensions, and correspond to global minima of the appropriate action.

is closed, there are only trivial (i.e. flat) solutions.

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