Affine curvature homogeneous 3-dimensional Lorentz Manifolds

Details Affine curvature homogeneous 3-dimensional Lorentz Manifolds Affine curvature homogeneous 3-dimensional Lorentz Manifolds

2005-04-08

arxiv.org/abs/math/0504163v1

Int.J.Geom.Meth.Mod.Phys. 2 (2005) 737-749

Mathematics

Differential Geometry

Scientific paper

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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