In this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a connected manifold M=M0xR, where M0 is a complete Riemannian manifold endowed with a Lorentzian metric g of splitting type. We prove that, under suitable hypotheses on the coefficients of the metric (g, M) is geodesically connected.
On a Class of Geodesically Connected Lorentzian Manifolds
ANTONACCI, FLAVIA;
1997-01-01
Abstract
In this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a connected manifold M=M0xR, where M0 is a complete Riemannian manifold endowed with a Lorentzian metric g of splitting type. We prove that, under suitable hypotheses on the coefficients of the metric (g, M) is geodesically connected.File in questo prodotto:
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