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Geodesics on lorentzian manifolds with quasi-convex boundary
Authors:Fabio Giannoni  Antonio Masiello
Affiliation:(1) Istituto di Matematiche Applicate, Universita' di Pisa, Via Bonanno Pisano, 25/b 56126 Pisa, Italy;(2) Dipartimento di Matematica, Politecnico di Bari, Via Orabona 4, 70125 Bari, Italy
Abstract:In this paper we study existence and multiplicity results of geodesics joining two given events in Lorentzian manifolds with lack of geodesic completeness. The considered Lorentzian manifolds are not necessarily static or stationary and satisfy a condition of convexity on the boundary. work supported by M.U.R.S.T. research founds 40%–60% 1992
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