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Affine curvature homogeneous 3-dimensional Lorentz Manifolds

P. Gilkey·S. Nikcevic
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Abstract

We study a family of 3-dimensional Lorentz manifolds. Some members of the family are 0-curvature homogeneous, 1-affine curvature homogeneous, but not 1-curvature homogeneous. Some are 1-curvature homogeneous but not 2-curvature homogeneous. All are 0-modeled on indecomposible local symmetric spaces. Some of the members of the family are geodesically complete, others are not. All have vanishing scalar invariants.

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P. Gilkey, S. Nikcevic. 2005-04-08. Affine curvature homogeneous 3-dimensional Lorentz Manifolds. https://arxiv.org/abs/math/0504163

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