On the geodesic connectedness of simply connected Lorentz surfaces (Q1383416)
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scientific article; zbMATH DE number 1139507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the geodesic connectedness of simply connected Lorentz surfaces |
scientific article; zbMATH DE number 1139507 |
Statements
On the geodesic connectedness of simply connected Lorentz surfaces (English)
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29 November 1998
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The main result of this paper asserts that any simply connected and globally hyperbolic Lorentzian surface is geodesically connected. However, it should be remarked that this claim is in contradiction with a counterexample given in Remark 1.3 of a paper by \textit{V. Benci}, \textit{D. Fortunato} and \textit{A. Masiello} [Math. Z. 217, 73-93 (1994; Zbl 0807.53054)], in which the geodesic connectedness is proved under an additional assumption on the growth at infinity.
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geodesic completeness
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global hyperbolicity
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