arXiv subjects

Fatma Guler

Publications and source records attributed to Fatma Guler.

2 recordsLinked to original sources

arXiv2014

An approach for designing a surface pencil through a given geodesic curve

Surfaces and curves play an important role in geometric design. In recent years, problem of finding a surface passing through a given curve have attracted much interest. In the present paper, we propose a new method to construct a surface interpolating a given curve as the geodesic curve of it. Also, we analyze the conditions when the resulting surface is a ruled surface. In addition, developablity along the common geodesic of the members of surface family are discussed. Finally, we illustrate this method by presenting some examples.

math.DG↗

arXiv2014

Structure and characterization of ruled surfaces in Minkowski 3-space

In this paper, we consider non developable ruled surface with spacelike ruling, timelike ruling, respectively. We give the relations between the structure functions with the curvature and torsion of the striction line of the timelike and spacelike non developable ruled surfaces. Also, we have calculated the gaussian and mean curvatures of timelike and spacelike non developable ruled surfaces using the structure functions.

math.DG↗