Abstract
In dimension three, there are only two signatures of metric tensors: Lorentzian and Riemannian. We find the possible pointwise symmetry groups of Lorentzian sectional curvatures considered as rational functions, and determine which can be realized on naturally reductive homogeneous spaces. We also give some examples. MSC (1991): Primary 53C50; Secondary 53B30, 53C30. 1Supported by Project XUGA8050189, Xunta de Galicia, Spain. 2On leave from Math. Dept., Wichita State Univ., Wichita KS 67260, U.S.A., pparker@twsuvm.uc.twsu.edu 3Partially supported by DGICYT-Spain.
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