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A variational problem for affine connections

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Abstract

We give a variational problem for affine connections which characterizes the Riemannian connection of an Einstein metric of negative scalar curvature.

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Authors and Affiliations

  1. Department of Mathematics, Kumamoto University, Kumamoto, 860-8555, Japan

    Osamu Kobayashi

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  1. Osamu Kobayashi
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Correspondence to Osamu Kobayashi.

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Received: 10 May 2005; revised: 25 July 2005

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Kobayashi, O. A variational problem for affine connections. Arch. Math. 86, 464–469 (2006). https://doi.org/10.1007/s00013-005-1579-4

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  • DOI: https://doi.org/10.1007/s00013-005-1579-4

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