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Volume comparison between spacelike hypersurfaces in a Lorentzian manifold with integral Ricci curvature bounds

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Abstract

We obtain the volume comparison between spacelike hypersurfaces in a Lorentzian manifold with integral Ricci and mean curvature bounds. Also we extend volume comparisons to weighted volume comparisons with integral norms of the generalized Ricci tensor.

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Authors and Affiliations

  1. Department of Mathematics, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul, 143-701, Korea

    Seong-Hun Paeng

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  1. Seong-Hun Paeng
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Correspondence to Seong-Hun Paeng.

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Paeng, SH. Volume comparison between spacelike hypersurfaces in a Lorentzian manifold with integral Ricci curvature bounds. Gen Relativ Gravit 43, 2089–2102 (2011). https://doi.org/10.1007/s10714-010-1106-1

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  • DOI: https://doi.org/10.1007/s10714-010-1106-1

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