Complete quaternionic K\"ahler manifolds with finite volume ends
Differential Geometry
2022-12-23 v3
Abstract
We construct examples of complete quaternionic K\"ahler manifolds with an end of finite volume, which are not locally homogeneous. The manifolds are aspherical with fundamental group which is up to an infinite cyclic extension a semi-direct product of a lattice in a semi-simple group with a lattice in a Heisenberg group. Their universal covering is a cohomogeneity one deformation of a symmetric space of non-compact type.
Keywords
Cite
@article{arxiv.2105.00727,
title = {Complete quaternionic K\"ahler manifolds with finite volume ends},
author = {V. Cortés and M. Röser and D. Thung},
journal= {arXiv preprint arXiv:2105.00727},
year = {2022}
}
Comments
39 pages; accepted for publication in Annales de l'institut Fourier. Various improvements based on suggestions of the anonymous referee, most notably in section 4.1. Matches version to be published modulo formatting