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Asymptotically Flat Conformal Structures

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Abstract

In the first part of this paper we revisit the theory of weighted spinors on conformal manifolds. In the second part we introduce the notions of asymptotically flat Weyl structures and of associated mass, and we prove a conformal version of the positive mass theorem on conformal spin manifolds.

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Authors and Affiliations

  1. CMLS, Ecole Polytechnique, 91128, Palaiseau, France

    Guillaume Vassal

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  1. Guillaume Vassal
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Correspondence to Guillaume Vassal.

Additional information

Communicated by A. Connes

This work was supported by the French-German cooperation project Procope no. 17825PG.

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Vassal, G. Asymptotically Flat Conformal Structures. Commun. Math. Phys. 295, 503–529 (2010). https://doi.org/10.1007/s00220-009-0965-3

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  • DOI: https://doi.org/10.1007/s00220-009-0965-3

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