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http://dx.doi.org/10.4134/JKMS.j160647

MODULI SPACES OF ORIENTED TYPE ${\mathcal{A}}$ MANIFOLDS OF DIMENSION AT LEAST 3  

Gilkey, Peter (Mathematics Department University of Oregon)
Park, JeongHyeong (Department of Mathematics Sungkyunkwan University)
Publication Information
Journal of the Korean Mathematical Society / v.54, no.6, 2017 , pp. 1759-1786 More about this Journal
Abstract
We examine the moduli space of oriented locally homogeneous manifolds of Type ${\mathcal{A}}$ 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
Ricci tensor; moduli space; homogeneous affine manifold;
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