SU\G(𝔸)/K·U

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A Class of Locally Inhomogeneous Complete Quaternionic Kähler Manifolds

A Class of Locally Inhomogeneous Complete Quaternionic Kähler Manifolds

Abstract We prove that the one-loop deformation of any quaternionic Kähler manifold in the class of c-map spaces is locally inhomogeneous. As a corollary, we obtain that the full isometry group of the one-loop deformation of any homogeneous c-map space has precisely cohomogeneity one.