Unit Killing Vector Fields on Nearly Kahler Manifolds
Differential Geometry
2019-01-08 v1
Abstract
We study 6-dimensional nearly Kahler manifolds admitting a Killing vector field of unit length. In the compact case it is shown that up to a finite cover there is only one geometry possible, that of the 3--symmetric space .
Keywords
Cite
@article{arxiv.math/0406492,
title = {Unit Killing Vector Fields on Nearly Kahler Manifolds},
author = {Andrei Moroianu and Paul-Andi Nagy and Uwe Semmelmann},
journal= {arXiv preprint arXiv:math/0406492},
year = {2019}
}