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https://research.matf.bg.ac.rs/handle/123456789/872
Title: | Three-Dimensional Lorentz Metrics and Curvature Homogeneity of Order One | Authors: | Bueken, Peter Đorić, Mirjana |
Affiliations: | Geometry | Keywords: | Constant Ricci eigenvalues;Curvature homogeneous Lorentzian manifolds;Homogeneous manifolds | Issue Date: | 1-Jan-2000 | Journal: | Annals of Global Analysis and Geometry | Abstract: | In this paper we investigate the existence of three-dimensional Lorentzian manifolds which are curvature homogeneous up to order one but which are not locally homogeneous, and we obtain a complete local classification of these spaces. As a corollary we determine, for each Segre type of the Ricci curvature tensor, the smallest k ∈ N for which curvature homogeneity up to order k guarantees local homogeneity of the three-dimensional manifold under consideration. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/872 | ISSN: | 0232704X | DOI: | 10.1023/A:1006612120550 |
Appears in Collections: | Research outputs |
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