Moduli spaces of oriented Type A manifolds of dimension at least 3
Differential Geometry
2016-07-07 v1
Abstract
We examine the moduli space of oriented locally homogeneous manifolds of Type A which have non-degenerate symmetric Ricci tensor both in the setting of manifolds with torsion and also in the torsion free setting where the dimension is at least 3. These exhibit phenomena that is very different than in the case of surfaces. In dimension 3, we determine all the possible symmetry groups in the torsion free setting.
Keywords
Cite
@article{arxiv.1607.01563,
title = {Moduli spaces of oriented Type A manifolds of dimension at least 3},
author = {Peter Gilkey and JeongHyeong Park},
journal= {arXiv preprint arXiv:1607.01563},
year = {2016}
}
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22 pages