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arXiv · 2210.10097

A class of locally inhomogeneous complete quaternionic K\"ahler manifolds

Vicente Cortés·Alejandro Gil-García·Arpan Saha
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Abstract

We prove that the one-loop deformation of any quaternionic K\"ahler 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.

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Vicente Cortés, Alejandro Gil-García, Arpan Saha. 2022-10-18. A class of locally inhomogeneous complete quaternionic K\"ahler manifolds. https://doi.org/10.1007/s00220-023-04830-6

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