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All Journal Journal of the Indonesian Mathematical Society
Yasin Unluturk
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Mathematics

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On spherical indicatrices of curves in Galilean 4-space G₄ Süha Yılmaz; Yasin Unluturk
Journal of the Indonesian Mathematical Society Volume 25 Number 2 (July 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.2.473.154-170

Abstract

In this study, we indroduce spherical indicatrices of curves in four dimensional Galilean space. Moreover, we characterize these curves in terms of Frenet-Serret vector fields in four dimensional Galilean space. Frenet-Serret apparatus of these curves are obtained in terms of base curve's Frenet invariants. Additionally, some theorems are given regarding characterizations of spherical indicatrices of curves in four dimensional Galilean space.
Normal Developable Surfaces of A Surface Along A Direction Curve Rashad Abdel-Baky Abdel-Sattar; Yasin Unluturk
Journal of the Indonesian Mathematical Society VOLUME 26 NUMBER 3 (NOVEMBER 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.3.872.319-333

Abstract

We construct a developable surface normal to a surface along a curve on the surface. As differs from the work Hananoi, we choose the curve as the normal direction curve on which the new surface is formed in Euclidean space. We obtain some results about the uniqueness and the singularities of such developable surfaces. We also give two invariants of curves on a surface which characterize singularities.
Co-Authors Rashad Abdel-Baky Abdel-Sattar Süha Yılmaz