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MiS Preprint
55/2005

Affine curvature homogeneous 3 dimensional Lorentz manifolds

Peter B. Gilkey and Stana Nikcevic

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 members of the family are geodesically complete, others are not. All have vanishing scalar invariants.

Received:
Jun 7, 2005
Published:
Jun 7, 2005
MSC Codes:
53B20
Keywords:
curvature homogeneous, vanishing scalar invariants, lorentz manifold

Related publications

inJournal
2005 Repository Open Access
Peter B. Gilkey and Stana Nikcevic

Affine curvature homogeneous 3 dimensional Lorentz manifolds

In: International journal of geometric methods in modern physics, 2 (2005) 5, pp. 737-749