Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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A class of locally inhomogeneous complete quaternionic Kähler manifolds.

Alejandro Gil Garcia

created by daniele on 13 Feb 2023
modified on 27 Apr 2023

10 may 2023 -- 11:00

Aula Tricerri, DIMaI, Firenze

Seminario di Geometria del Dini

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).

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