Two Special Simply Connected Spaces of Nonpositive Curvature |
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| Authors: | Ionin V K |
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| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk |
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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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| Keywords: | metric simplex face curvature manifold geodesic space |
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