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http://dx.doi.org/10.4134/JKMS.2003.40.6.951

FOCAL POINT IN THE C0-LORENTZIAN METRIC  

Choi, Jae-Dong (Department of Mathematics Air Force Academy)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.6, 2003 , pp. 951-962 More about this Journal
Abstract
In this paper we address focal points and treat manifolds (M, g) whose Lorentzian metric tensors g have a spacelike $C^{0}$-hypersurface $\Sigma$ [10]. We apply Jacobi fields for such manifolds, and check the local length maximizing properties of $C^1$-geodesics. The condition of maximality of timelike curves(geodesics) passing $C^{0}$-hypersurface is studied.ied.
Keywords
non-smooth Lorentzian metric; focal point;
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