Geodesic
Extrema in Space-Time
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 678-691

Voir la notice de l'article provenant de la source Cambridge University Press

Consider an astronomer and his observation field, i. e., the set of observable (light or radio) signal-emitting loci of the universe. Let the observation field be ordered by attaching a date to each observable locus indicating the time in the history of the universe that the signal was emitted from its source. Whereas both the astronomer and his observation field age with time, the observations of the astronomer may trace a sequence of loci whose time labels proceed forward or backward in time (cf. Appendix).Consider now a finite set S of events in Ln,n-dimensional space-time (Riemannian n-space having the fundamental form 
Quintas, Louis V.; Supnick, Fred. Extrema in Space-Time. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 678-691. doi: 10.4153/CJM-1966-069-1
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[1] 1. Supnick, F., Extreme Hamiltonian lines, Ann. Math. (2), 66 (1957), 179–201. Google Scholar

[2] 2. Supnick, F. and Quintas, L. V., Extreme Hamiltonian circuits. Resolution of the convex-odd case, Proc. Amer. Math. Soc., 15 (1964), 454–456. Google Scholar

[3] 3. Quintas, L. V. and Supnick, F., Extreme Hamiltonian circuits. Resolution of the convex-even case, Proc. Amer. Math. Soc, 16 (1965), 1058–1061. Google Scholar

[4] 4. Quintas, L. V. and Supnick, F., On some properties of shortest Hamiltonian circuits, Amer. Math. Monthly, 72 (1965), 977–980. Google Scholar

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