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- W3190888228 abstract "In this paper we show that on a complete Riemannian manifold of negative curvature and dimension $n>1$ every two points which realize a local maximum for the distance function are connected by at least $2n+1$ geometrically distinct geodesic segments (i.e. length minimizing). Using a similar method, we obtain that in the case of non-positive curvature, for every two points with the same property as above the number of connecting distinct geodesic segments is at least $n+1$." @default.
- W3190888228 created "2021-08-16" @default.
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- W3190888228 date "1995-02-01" @default.
- W3190888228 modified "2023-09-27" @default.
- W3190888228 title "On the number of geodesic segments connecting two points on manifolds of non-positive curvature" @default.
- W3190888228 hasPublicationYear "1995" @default.
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