Manifolds with conullity at most two as graph manifolds
Differential Geometry
2017-09-06 v5 Geometric Topology
Abstract
We find necessary and sufficient conditions for a complete -dimensional Riemannian manifold of finite volume, whose curvature tensor has nullity at least , to be a geometric graph manifold. In the process, we show that Nomizu's conjecture, well known to be false in general, is true for manifolds with finite volume.
Cite
@article{arxiv.1611.06572,
title = {Manifolds with conullity at most two as graph manifolds},
author = {Luis A. Florit and Wolfgang Ziller},
journal= {arXiv preprint arXiv:1611.06572},
year = {2017}
}
Comments
22 pages, 8 figures. Two references added plus minor corrections