Title: THE EXISTENCE OF CONVEX SPHERICAL METRICS, ALL CLOSED NONSELFINTERSECTING GEODESICS OF WHICH ARE HYPERBOLIC
Abstract: In this paper it is shown that in any C1-neighborhood of the standard metric H0 on S2, there exists a subset consisting of convex metrics, which is open in the C2-topology, and all of whose closed nonselfintersecting geodesics are hyperbolic.Bibliography: 13 titles.
Publication Year: 1980
Publication Date: 1980-02-28
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 8
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