International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Construction of the Frenet-Serret frame of a curve in 4D Galilean space and some applications

Süha Yılmaz
Department of Mathematics, Faculty of Buca Educational, Dokuz Eylül University, 35160 Buca-Ä°zmir, Turkey. 
Email: [email protected]

  •  Accepted: 07 June 2010
  •  Published: 04 August 2010

Abstract

In this work, first, we construct Frenet-Serret frame of a curve in the Galilean 4-space. As a result of this, we obtain the mentioned curve’s Frenet-Serret equations. Then, we prove that tangent vector of a curve in Galilean 4-space satisfies a vector differential equation of fourth order. Additionally, some characterizations of Galilean spherical curves and an example of the main results are presented.

 

Key words: Galilean space, Frenet-Serret frame, spherical curves, vector differential equation.