A remark on totally vicious space-time
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説明
The Lorentzian distance function d has many difference with the Riemannian distance function. For example~ the Lorentzian distance function fails to be symmetric and non-degenerate. Moreover~ it is not a priori finite valued. A totally vicious space-time M is characterized in terms of its Lorentzian distance function d by the property that d(p~q) = ~ for all points p and q in M. The purpose of this note is to investigate the Lorentzian distance function and weaken the condition for totally vicious space-time.
収録刊行物
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- Journal of Geometry
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Journal of Geometry 32 51-54, 1988-08-01
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