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Scalar Curvature and Asymptotic Symmetric Spaces

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Abstract

A well known fact is that a complete Riemannian (spin) manifold which is strongly asymptotically flat and has nonnegative scalar curvature must be isometric to the Euclidean space. Using Witten’s positive mass argument this paper proves the analogous rigidity result for certain asymptotic symmetric spaces.

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Authors and Affiliations

  1. Abteilung für Reine Mathematik, Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, 79104, Freiburg, Germany

    Mario Listing

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  1. Mario Listing
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Correspondence to Mario Listing.

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Communicated by G. W. Gibbons

Supported by the German Science Foundation.

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Listing, M. Scalar Curvature and Asymptotic Symmetric Spaces. Commun. Math. Phys. 287, 395–429 (2009). https://doi.org/10.1007/s00220-009-0729-0

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  • DOI: https://doi.org/10.1007/s00220-009-0729-0

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