Two Special Simply Connected Spaces of Nonpositive Curvature |
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Authors: | Ionin V. K. |
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Affiliation: | (1) Sobolev Institute of Mathematics, Novosibirsk |
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Abstract: | We construct two examples of spaces homeomorphic to Rn (n3) 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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Keywords: | metric simplex face curvature manifold geodesic space |
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