IJPAM: Volume 15, No. 4 (2004)

ON THE GAUSS MAP
OF ROTATION SURFACES IN DUAL 3-SPACE

Vedat Asil$^1$, Mustafa Yeneroglu$^2$
$^{1,2}$Department of Mathematics
Faculty of Art and Science
Firat University
23119 Elazig, TURKEY
$^1$e-mail: vasil@firat.edu.tr
$^2$e-mail: myeneroglu23@yahoo.com


Abstract.In this article, rotation surface in the 3-dimensional dual space whose Gauss map G satisfies the condition $\hat{\Delta}$G=ÂG, Â$\in $Mat (3,D) is studied$,$ where $\hat{\Delta}$ denotes the Laplacian of the surface with respect to the induced metric and Mat (3,D) the set $3\times 3$ dual matrices.

Received: July 5, 2004

AMS Subject Classification: 53A17, 53A25

Key Words and Phrases: dual number, dual vector, Gauss map

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 15
Issue: 4