ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE

ERGÜT M., YILMAZ S., Unluturk Y.

HONAM MATHEMATICAL JOURNAL, vol.40, no.1, pp.47-59, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.5831/hmj.2018.40.1.47
  • Journal Name: HONAM MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.47-59
  • Keywords: Classical differential geometry, E. Cartan frame, complex space C-4, isotropic Smarandache curves, isotropic cubic, DIFFERENTIAL GEOMETRY
  • Dokuz Eylül University Affiliated: Yes

Abstract

We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(alpha)e(2)(alpha)e(3)(alpha)-isotropic Smarandache curve, and the e(1)(alpha)e(2)(alpha)e(4)(alpha)-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space C-4 and give some differential geometric properties of these Samarandache curves.