ON INTEGRAL INVARIANTS OF RULED SURFACES GENERATED BY THE DARBOUX FRAMES OF THE TRANSVERSAL INTERSECTION CURVE OF TWO SURFACES IN E-3

As E., Sarıoğlugil A.

JOURNAL OF SCIENCE AND ARTS, no.2, pp.111-128, 2016 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.111-128
  • Keywords: Transversal intersection curve, ruled surface, geodesic curvature, Darboux frame, DIFFERENTIAL GEOMETRY
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, the some characteristic properties of ruled surfaces which are generated by the Darboux frame of the transversal intersection curve of two surfaces were given in 3-dimensional Euclidean space E-3. Also, the relations between the integral invariants of the closed ruled surfaces were showned. Finally, the examples for parametric-parametric and imlicit-implicit surfaces were given.