Locally homogeneous nearly K\"ahler manifolds

Vicente Cortés; José J. Vásquez

Locally homogeneous nearly K\"ahler manifolds

Differential Geometry 2014-10-28 v1

Authors: Vicente Cortés , José J. Vásquez

Abstract

We construct locally homogeneous 6-dimensional nearly K\"ahler manifolds as quotients of homogeneous nearly K\"ahler manifolds $M$ by freely acting finite subgroups of $Aut_0(M)$ . We show that non-trivial such groups do only exists if $M=S^3\times S^3$ . In that case we classify all freely acting subgroups of $Aut_0(M)=SU (2) \times SU (2) \times SU (2)$ of the form $A\times B$ , where $A\subset SU (2) \times SU (2)$ and $B\subset SU (2)$ .

Keywords

nearly Kähler manifolds locally homogeneous quotients finite subgroups automorphism group classification 6-dimensional

Cite

@article{arxiv.1410.6912,
  title  = {Locally homogeneous nearly K\"ahler manifolds},
  author = {Vicente Cortés and José J. Vásquez},
  journal= {arXiv preprint arXiv:1410.6912},
  year   = {2014}
}

Related papers

View all related →