A class of locally inhomogeneous complete quaternionic K\"ahler manifolds
Differential Geometry
2025-03-26 v1
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.
Keywords
Cite
@article{arxiv.2210.10097,
title = {A class of locally inhomogeneous complete quaternionic K\"ahler manifolds},
author = {Vicente Cortés and Alejandro Gil-García and Arpan Saha},
journal= {arXiv preprint arXiv:2210.10097},
year = {2025}
}
Comments
18 pages. Comments are welcome!