Characteristic properties of the ruled surface with Darboux frame in E^3

Kuwait Journal of Science

GÃœLSÃœM YELÄ°Z ÅžENTÃœRK¹  SALÄ°M YÃœCE¹ 

[1] Faculty of Arts and Sciences, Department of Mathematics Yıldız Technical University, Istanbul, 34220, TURKEY

关键词: Ruled surface;    Darboux frame;    integral invariants.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

In this study, the ruled surface with Darboux frame is defined. Then, the ruled surfacescharacteristic properties which are related to the geodesic curvature, the normal curvature andthe geodesic torsion are investigated. The relation between the Darboux frame and the Frenetframe on the ruled surface is presented. Moreover, some theorems about the pitch and the angleof the pitch which are the integral invariants of the ruled surface with darboux frame are given.

【 授权许可】

Unknown