On a class of geodesically connected Lorentzian manifolds

[摘要] In this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a connected manifold M = M-0 x R, where M-0 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. (C) 1997 Academic Press.

[发布日期] 1997-07-20