Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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RICCI CURVATURE FOR CONJUGATE AND FOCAL POINTS ON GRW SPACE-TIMES

  • Kim, Jeong-Sik (DEPARTMENT OF MATHEMATICS, CHONNAM NATIONAL UNIVERSITY) ;
  • Kim, Seon-Bu (DEPARTMENT OF MATHEMATICS, CHONNAM NATIONAL UNIVERSITY)
  • Published : 2001.05.01
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Abstract

The authors compute the Ricci curvature of the GRW space-time to obtain two conditions for the conjugate points which appear as the Timelike Convergence Condition(TCG) and the Jacobi inequality. Moreover, under such two conditions, we obtain a lower bound of the length of a unit timelike geodesic for focal points emanating form the immersed spacelike hypersurface, the graph over the fiber in the GRW space-time.

Keywords

References

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