On a Class of Geodesically Connected Lorentzian Manifolds

On a Class of Geodesically Connected Lorentzian Manifolds

In this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a connected manifold M=M0×R, where M0is a complete Riemannian manifold endowed with a Lorentzian metricgof splitting type. We prove that, under suitable hypotheses on the coefficients of the metricg,Mis geodesic...

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Veröffentlicht in:Journal of Differential Equations 1997-07, Vol.138 (1), p.171-187
Hauptverfasser: Antonacci, Flavia, Sampalmieri, Rosella
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a connected manifold M=M0×R, where M0is a complete Riemannian manifold endowed with a Lorentzian metricgof splitting type. We prove that, under suitable hypotheses on the coefficients of the metricg,Mis geodesically connected.
ISSN:0022-0396
1090-2732
DOI:10.1006/jdeq.1997.3253