A geometrical interpretation of the null sectional curvature
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http://hdl.handle.net/10045/151623
Title: | A geometrical interpretation of the null sectional curvature |
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Authors: | Albujer, Alma L. | Haesen, Stefan |
Research Group/s: | Grupo de Geometría y Topología (GeoTop) |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
Keywords: | Null sectional curvature | Robertson-Walker manifold |
Issue Date: | 10-Nov-2009 |
Publisher: | Elsevier |
Citation: | Journal of Geometry and Physics. 2010, 60(3): 471-476. https://doi.org/10.1016/j.geomphys.2009.11.002 |
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. |
Sponsor: | The first author was partially supported by MEC project MTM2007-64504, and Fundación Séneca project 04540/GERM/06, Spain. The second author was partially supported by the Spanish MEC Grant MTM2007-60731 with FEDER funds and the Junta de Andalucía Regional Grant P06-FQM-01951. This research is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Región de Murcia, Spain, by Fundación Séneca, Regional Agency for Science and Technology (Regional Plan for Science and Technology 2007–2010). |
URI: | http://hdl.handle.net/10045/151623 |
ISSN: | 0393-0440 (Print) | 1879-1662 (Online) |
DOI: | 10.1016/j.geomphys.2009.11.002 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © 2009 Elsevier B.V. |
Peer Review: | si |
Publisher version: | https://doi.org/10.1016/j.geomphys.2009.11.002 |
Appears in Collections: | INV - GeoTop - Artículos de Revistas |
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