Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894199 | Journal of Geometry and Physics | 2010 | 6 Pages |
Abstract
A geometrical interpretation is given for the null sectional curvature of degenerate planes in a Lorentzian manifold. This interpretation is based on a generalization to the indefinite case of the squaroids of Levi-Civita. Further, it is shown that a three-dimensional, conformally flat Lorentzian manifold has isotropic and spatially constant null sectional curvature if and only if it is locally a Robertson–Walker manifold.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A.L. Albujer, S. Haesen,