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Some concave functions on Lorentzian manifolds

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Abstract

Let M be a Lorentzian manifold and \(\phi\) be a future timelike isometry of M. We use \(\phi\) to construct a concave function \(f_{\phi }\) on M under some conditions on the curvature of timelike and spacelike planes. As a topological application, we characterize the fundamental group of M, when M has positive curvature along timelike planes.

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Authors and Affiliations

  1. Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University (IKIU), Qazvin, Iran

    Reza Mirzaie & Omid Rezaei

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  1. Reza Mirzaie
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  2. Omid Rezaei
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Correspondence to Reza Mirzaie.

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Mirzaie, R., Rezaei, O. Some concave functions on Lorentzian manifolds. Math Sci 16, 317–322 (2022). https://doi.org/10.1007/s40096-021-00423-3

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  • DOI: https://doi.org/10.1007/s40096-021-00423-3

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