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Języki publikacji
Abstrakty
In this work, we study the concepts of canonical systems and instantaneous invariants in dual Lorentzian space. It gives a systematic approximation about determining the instantaneous invariants. Important for the characterization of higher-order intrinsic properties of a ruled surface, the instantaneous invariants are derived on the basis of line coordinates.
Czasopismo
Rocznik
Tom
Strony
223--238
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
autor
- Siileyman Dernirel University Department of Mathematics Isparta, Turkey, ayyiidiz@fef.sdu.edu.tr
Bibliografia
- 1. K. AKUTAGAWA, S. NISHIKAWA, The Gauss map and spacelike surface with prescribed mean curvature in Minkowski 3-space, Tohoku Math., 42, 67-82, 1990.
- 2. N. AYYILDIZ, A. YUCESAN, On the scalar and dual formulations of the curvature theory of line trajectories in the Lorentzian space. J. Korean Math. Soc., 43, 6, 1339-1355, 2006.
- 3. G. S. BIR.MAN, K. NO.MIZU, Trigonometry in Lorentzian geometry, Am. Math. Mon., 91. 543-549, 1984.
- 4. O. BOTTEMA, Some remarks on theoretical kinematics, Proceedings of International Conference for Teachers of Mechanism, The Shoe String Press Inc., 157-168, 1961.
- 5. H. GUGGENHEIMER, Differential Geometry, McGraw-Hill, New York 1963.
- 6. M.A GONGOR, M. TOSUN, One parameter Lorentzian motion in Lorentzian 3-space, Kragujevac J. Math., 31, 95-109, 2008.
- 7. Y. KlRSON, Higher order curvature theory for space kinematics, PhD dissertation, University of California. Berkeley 1975.
- 8. Y. KlRSON, A.T YANG, Instantaneous invariants in three-dimensional kinematics, ASME Journal of Applied Mechanics, 45, 409-414, 1978.
- 9. IS. O'NEILL, Semi-Riemann Geometry: with Applications to Relativity, Academic Press, New York 1983.
- 10. G,R. VELDKAMP. Some remarks on higher curvature theory, Journal of Engineering for Industry, 'Trans. ASME, Series 13, 89, 1, 84-86, 1967.
- 11. G.R. VELDKAMP, Canonical systems and instantaneous invariants in spatial kinematics, Journal of Mechanisms, 3, 329-388, 1967.
- 12. G.R VELDKAMP, On the use of dual numbers, vectors and matrices in instantaneous spatial kinematics, Mechanism and Machine Theory, 11, 141-156, 1976.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT1-0038-0015