대한수학회지 (Journal of the Korean Mathematical Society)

  • 제40권6호
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  • Pages.951-962
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  • 2003
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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FOCAL POINT IN THE C0-LORENTZIAN METRIC

  • 발행 : 2003.11.01
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초록

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.

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참고문헌

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