On the dual Darboux rotation axis of the dual space curve

• Autorzy: Çöken A. C. , Görgülü A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we obtain the dual correspondence of the "work named" Zum Drehvorgang Der Darboux Achse Einer Raumkurve given by Woldemar Barthel [1].

Słowa kluczowe

EN

dual Darbox ration axis; dual Frenet triheedran; dual space curve; dual vectors; dual angels

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 2
• Strony: 385--390
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Çöken A. C.

• Department of Mathematics, University of Süleyman Demirel, 32260, Isparta, Turkey

autor

Görgülü A.

• Department of Mathematics, University of Osmangazi, 26840, Eskişehir, Turkey

Bibliografia

• [1] W. Barthel, Zum Drehvorgang Der Darboux Achse Einer Raumkurve, J. Geom. 49 (1994), 46-49.
• [2] W. Blaschke, Vorlesungen Uber Differential Geometry I. Verlag von Julieus Springer in Berlin (1930), pp: 89.
• [3] W. K. Clifford, Preliminary Sketch of Biquaternions, Proceedings of London Math. Soc. 4 (1873), 361-395.
• [4] H. W. Guggenheimer, Differential Geometry, McGraw-Hill, New York, 1963.
• [5] H. H. Hacisalihoğlu, Acceleration Axes in Spatial Kinamatics I., Communications, Série A: Mathématiques, Physique et Astronomie, Tome 20 A, pp. 1-15, Anneé 1971.
• [6] J. Hartl, Zerlegung der Darboux-Drehung in zwei ebene Drehungen, J. Geom. 47 (1993), 32-38.
• [7] Ö. Köse, Ş. Nizamoğlu, M. Sezer, An explicit characterization of dual spherical curves, Doğa Mat. 12 (1998), No. 3, 105-113.
• [8] E. Study, Geometrie der Dynamen, Leipzig, (1903).