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Positive mass theorem for some asymptotically hyperbolic manifolds

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Abstract

We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products of hyperbolic space with a compact manifold. As a conclusion we show the Yamabe inequality for some noncompact manifolds which are important to understand the behaviour of Yamabe invariants under surgeries.

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Acknowledgements

We thank an anonymous referee for many helpful comments. Bernd Ammann has been partially supported by SFB 1085 Higher Invariants, Regensburg, funded by the DFG.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Regensburg, 93040, Regensburg, Germany

    Bernd Ammann

  2. Mathematisches Institut, Universität Freiburg, 79104, Freiburg, Germany

    Nadine Große

Authors
  1. Bernd Ammann
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  2. Nadine Große
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Correspondence to Bernd Ammann.

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Communicated by Vicente Cortés.

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Ammann, B., Große, N. Positive mass theorem for some asymptotically hyperbolic manifolds. Abh. Math. Semin. Univ. Hambg. 87, 165–180 (2017). https://doi.org/10.1007/s12188-016-0159-9

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  • DOI: https://doi.org/10.1007/s12188-016-0159-9

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