  We consider an N=4 supersymmetric gauge theory on a curved space. We try to
generalize Pestun's localization calculation on the four-sphere to a more
general class of curved spaces. We calculated the Q-exact term to localize the
path-integral, and when it becomes positive definite, we obtain a configuration
where the path-integral localizes. We also evaluate the super Yang-Mills action
in this configuration.
