Home  /  Le Matematiche  /  Vol: 64 Núm: 1 Par: 0 (2009)  /  Article
ARTICLE
TITLE

Lorentzian Beltrami-Euler formula and generalized Lorentzian Lamarle formila in R_1^n

SUMMARY

In this paper, the sectional curvature of non-degenerate tangent sections of time-like ruled surface with the central ruled surface in n-dimensional Minkowski space, R_1^n  is studied. The relationship between normal sectional curvature and the principal sectional curvatures of non-degenerate tangent sections of time-like ruled surfaces is obtained andcalled as Lorentzian Beltrami-Euler formula. Moreover, the relationship between the Gaussian curvature and the principal distribution parameter of the non-degenerate tangent sections of time-like ruled surfaces is obtained and called as generalized Lorentzian Lamarle formula.

PAGES
pp. 25 - 45
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