대한수학회논문집 (Communications of the Korean Mathematical Society)
- 제10권1호
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- Pages.163-173
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
VOLUME PROBLEMS ON LORENTZIAN MANIFOLDS
초록
Inspired in [2,9,10,17], pp. E. Ehrlich and S. B. Kim in [4] cultivated the Riccati equation related to the Raychaudhuri equation of General Relativity for the stable Jacobi tensor along the geodesics to extend the Hawking-Penrose conjugacy theorem to $$ f(t) = Ric(c(t)',c'(t)) + tr(\sigma(A)^2) $$ where $\sigma(A)$ is the shear tensor of A for the stable Jacobi tensor A with $A(t_0) = Id$ along the complete Riemannian or complete nonspacelike geodesics c.
키워드