T R A C K       P A P E R
ISSN:2394-3661 | Crossref DOI | SJIF: 5.138 | PIF: 3.854

International Journal of Engineering and Applied Sciences

(An ISO 9001:2008 Certified Online and Print Journal)

On Geodesics of 3D Surfaces of Rotations in Euclidean and Minkowskian Spaces

( Volume 3 Issue 1,January 2016 ) OPEN ACCESS

Anis I. Saad, Saif Alislam E. Muhammed, Tarig S. Elmabrouk


In this paper we review geodesics on  surfaces of revolution in classical differential geometry, and prove the  analogous result in three-dimensional Minowski space; which does have three types of surfaces of rotations [9]. So there are three types of geodesics on those surfaces.  Then we introduce some examples explicitly in both cases; the usual one which Euclidean space and the cases of Minkowskian spaces considering a time-like geodesic. And then we visualize some geodesics on those surfaces using Maple. Which showing how the Euclidean and Minkowskian geodesics are differ.

Paper Statistics:

Total View : 241 | Downloads : 232 | Page No: 55-60 |

Cite this Article:
Click here to get all Styles of Citation using DOI of the article.