Conformally stationary Lorentzian tori with no conjugate points are flat
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- by Francisco J. Palomo and Alfonso Romero PDF
- Proc. Amer. Math. Soc. 137 (2009), 2403-2406 Request permission
Abstract:
A Lorentzian torus which admits a timelike conformal vector field and with no conjugate points on its timelike and spacelike geodesics is proved to be flat. If only the absence of conjugate points on timelike geodesics is assumed, a counterexample is shown.References
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Additional Information
- Francisco J. Palomo
- Affiliation: Departamento de Matemática Aplicada, Complejo Tecnológico, Universidad de Málaga, 29071-Málaga, Spain
- Email: fjpalomo@ctima.uma.es
- Alfonso Romero
- Affiliation: Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071-Granada, Spain
- MR Author ID: 196140
- Email: aromero@ugr.es
- Received by editor(s): June 13, 2008
- Published electronically: February 24, 2009
- Additional Notes: Both authors were partially supported by the Spanish MEC Grant MTM2007-60731 with FEDER funds and the Junta de Andalucía Regional Grant P06-FQM-01951.
- Communicated by: Jon G. Wolfson
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 2403-2406
- MSC (2000): Primary 53C50, 53C22, 53C25
- DOI: https://doi.org/10.1090/S0002-9939-09-09847-5
- MathSciNet review: 2495275
Dedicated: Dedicated to Professor A. M. Naveira on his 68th birthday