A geometrical interpretation of the null sectional curvature

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Title: A geometrical interpretation of the null sectional curvature
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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