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The b-boundary of S 1 with a constant connection

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Abstract

On a manifold with connection the frame bundle admits a Riemannian metric which Schmidt introduced to construct the b-boundary of the underlying manifold. Here we study the metrics that arise when the manifold is R or S 1 with a constant connection.

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References

  1. AuslanderL. and MarkusL., Ann. Math. 62, 139–151 (1955).

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  2. SchmidtB.G., Gen. Relativ. Gravitation 1, 3, 269–280 (1971).

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Authors and Affiliations

  1. Dept. of Mathematics, University of Lancaster, Bailrigg, England

    C. T. J. Dodson & L. J. Sulley

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  1. C. T. J. Dodson
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  2. L. J. Sulley
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Dodson, C.T.J., Sulley, L.J. The b-boundary of S 1 with a constant connection. Lett Math Phys 1, 301–307 (1976). https://doi.org/10.1007/BF00398485

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  • DOI: https://doi.org/10.1007/BF00398485

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