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Two Special Simply Connected Spaces of Nonpositive Curvature

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Abstract

We construct two examples of spaces homeomorphic to R n (n≥3) each of which has a closed geodesic and admits no isoperimetric inequality. The first is a complete polyhedral metric space of nonpositive curvature, and the second is an incomplete Riemannian space with nonpositive sectional curvatures.

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References

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk

    V. K. Ionin

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  1. V. K. Ionin
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Ionin, V.K. Two Special Simply Connected Spaces of Nonpositive Curvature. Siberian Mathematical Journal 44, 807–812 (2003). https://doi.org/10.1023/A:1025928502114

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  • DOI: https://doi.org/10.1023/A:1025928502114

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