4 papers
On the Mannheim Surface Offsets
Mehmet Önder, H. Hüseyin Uğurlu
In this paper, we study Mannheim surface offsets in dual space. By the aid of the E. Study Mapping, we consider ruled surfaces as dual unit spherical curves and define the Mannheim…
Dual Darboux Frame of a Timelike Ruled Surface and Darboux Approach to Mannheim Offsets of Timelike Ruled Surfaces
Mehmet Önder, H. Hüseyin Uğurlu
In this paper, we introduce the dual geodesic trihedron (dual Darboux frame) of a timelike ruled surface. By the aid of the E. Study Mapping, we consider timelike ruled surfaces as…
Normal and Spherical Curves in Dual Space
Mehmet Önder, H. Hüseyin Uğurlu
In this paper, we give definitions and characterizations of normal and spherical curves in the dual space. We show that normal curves are also spherical curves in D^3.
On the Developable Mannheim Offsets of Spacelike Ruled Surfaces
Mehmet Önder, H. Huseyin Uğurlu
In this paper, using the classifications of timelike and spacelike ruled surfaces, we define and study the Mannheim offsets of spacelike ruled surfaces in Minkowski 3-space. We giv…