Cocompact CAT(0) spaces are almost geodesically complete
نویسندگان
چکیده
منابع مشابه
Cocompact Cat(0) Spaces Are Almost Geodesically Complete
Let M be a Hadamard manifold, that is, a complete simply connected riemannian manifold with non-positive sectional curvatures. Then every geodesic segment α : [0, a] → M from α(0) to α(a) can be extended to a geodesic ray α : [0,∞) → M . We say then that the Hadamard manifold M is geodesically complete. Note that, in this case, all geodesic rays are proper maps. CAT(0) spaces are generalization...
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ژورنال
عنوان ژورنال: Topology
سال: 2005
ISSN: 0040-9383
DOI: 10.1016/j.top.2004.01.010