Frenet frames and invariants of timelike ruled surfaces
Ain Shams Engineering Journal2012Vol. 4(3), pp. 507–513
Citations Over TimeTop 13% of 2012 papers
Abstract
In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame. We define instantaneous rotation vectors of the Frenet frames of timelike ruled surfaces. Also we prove the Chasles Theorem for timelike ruled surfaces.
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