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AFFINE CURVATURE HOMOGENEOUS 3-DIMENSIONAL LORENTZ MANIFOLDS

2005
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International Journal of Geometric Methods in Modern Physics (IJGMMP)
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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. 1 2 P. GILKEY AND S. NIKČEVIĆ If, however, m is bounded, one has the following

doi:10.1142/s0219887805000776
fatcat:c63po6tkrjhttl6i7ovj3ufhwq