#### Filter Results:

- Full text PDF available (6)

#### Publication Year

2005

2015

- This year (0)
- Last 5 years (5)
- Last 10 years (7)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Emin Kasap, Mustafa Yapici, F. Talay Akyildiz
- Applied Mathematics and Computation
- 2005

- Ergin Bayram, Fatma Güler, Emin Kasap
- Computer-Aided Design
- 2012

In a recent works Liu and Wang 2008; 2007 study the Mannheim partner curves in the three dimensional space. In this paper, we extend the theory of the Mannheim curves to ruled surfaces and define two ruled surfaces which are offset in the sense of Mannheim. It is shown that, every developable ruled surface have a Mannheim offset if and only if an equation… (More)

- Emin Kasap, F. Talay Akyildiz, Keziban Orbay
- Applied Mathematics and Computation
- 2008

- Sedat Kahyaoğlu, Emin Kasap, E. Kasap
- 2015

We investigate minimal surfaces passing a given curve in R3. Using the Frenet frame of a given curve and isothermal parameter, we derive the necessary and sufficient condition for minimal surface. Also we derive the parametric representation of two minimal surface families passing a circle and a helix as Examples Mathematics Subject Classification: 53A10,… (More)

abstract: In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for… (More)

- Emin Kasap, E. Kasap
- 2006

A non-linear differential equation is analyzed to determine the geodesic curves on ruled surfaces with time-like rulings inR31. When it is assumed that curvature and torsion of the base curve and components with respect to Frenet’s frame of time-like straight-line are constants, for a special integration constant, it appears that the resulting non-linear… (More)

- Emin Kasap
- 2013

A curve which is called geodesic on a surface M in Lorentz 3-space is a special curve that its acceleration is everywhere normal to M. In this paper, we analyzed the non-linear differential equation to determine the geodesic curves on ruled surfaces which is obtained by a strictly connected spacelike straight line moving with Frenet’s frame along a timelike… (More)

- Emin Kasap, F. Talay Akyildiz
- Applied Mathematics and Computation
- 2006

- Gülnur Saffak Atalay, Emin Kasap
- Applied Mathematics and Computation
- 2015