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Global Differential Geometry pp 201–230Cite as

Some Curvature Problems in Semi-Riemannian Geometry

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Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 17))

Abstract

In this survey article we review several results on the curvature of semi-Riemannian metrics which are motivated by the positive mass theorem and have been obtained within the Priority Program “Globale Differentialgeometrie” of the Deutsche Forschungsgemeinschaft. The main themes are estimates of the Riemann tensor of an asymptotically flat manifold and the construction of Lorentzian metrics which satisfy the dominant energy condition.

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Acknowledgements

We would like to thank Margarita Kraus for helpful comments on the manuscript. Supported in part by the Deutsche Forschungsgemeinschaft within the Priority Program “Globale Differentialgeometrie.”

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Authors and Affiliations

  1. NWF I - Mathematik, Universität Regensburg, D-93040, Regensburg, Germany

    Felix Finster & Marc Nardmann

Authors
  1. Felix Finster
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  2. Marc Nardmann
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Correspondence to Felix Finster .

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Editors and Affiliations

  1. Inst. Mathematik, Universität Potsdam, Potsdam, Brandenburg, Germany

    Christian Bär

  2. , Mathematisches Institut, Universität Münster, Einsteinstraße 62, Münster, 48149, Germany

    Joachim Lohkamp

  3. , Fakultät für Mathematik und Informatik, Universität Leipzig, Johannisgasse 26, Leipzig, 04103, Sachsen, Germany

    Matthias Schwarz

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Finster, F., Nardmann, M. (2012). Some Curvature Problems in Semi-Riemannian Geometry. In: Bär, C., Lohkamp, J., Schwarz, M. (eds) Global Differential Geometry. Springer Proceedings in Mathematics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22842-1_8

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