RULED SURFACES WITH CONSTANT SLOPE RULING ACCORDING TO DARBOUX FRAME IN MINKOWSKI SPACE
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, vol.18, no.6, pp.900-919, 2020 (ESCI)
- Publication Type: Article / Article
- Volume: 18 Issue: 6
- Publication Date: 2020
- Doi Number: 10.28924/2291-8639-18-2020-900
- Journal Name: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.900-919
- Keywords: ruled surface, surface with constant slope, Darboux frame, Minkowski space
- Open Archive Collection: AVESIS Open Access Collection
- Ankara University Affiliated: Yes
Abstract
In this study, three different types of ruled surfaces are defined. The generating lines of these ruled surfaces are given by points on a curve X in Minkowski Space, while the position vector of X have constant slope with respect to the planes (t, y), (t, n), (n, y). It is observed that the Lorentzian casual characters of the ruled surfaces with constant slope can be timelike or spacelike. Furthermore, striction lines of these surfaces are obtained and investigated under various special cases. Finally, new investigations are obtained on the base curve of these types of ruled surfaces.