A class of locally inhomogeneous complete quaternionic Kähler manifolds – Alejandro Gil-García (Universität Hamburg)

Venue

Aula Seminari - Dipartimento di Matematica

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. This is a joint work with Vicente Cortés and Arpan Saha (https://arxiv.org/abs/2210.10097).