ON BERTRAND SUPERCURVES IN SUPER-EUCLIDEAN SPACE

Tozak H., EKİCİ C., YORMAZ C.

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.10, no.4, pp.14-30, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2018
  • Journal Name: BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.14-30
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Using Banach Grassmann algebra, given by Rogers, a new scalar product, a new definition of the orthogonality and of Frenet frame associated to supersmooth supercurve are introduced on the (m, n)-dimensional total super-Euclidean space. It is well known that a characteristic property of Bertrand curve is the existence of a linear relation between its curvature and torsion. In this study, definition of Bertrand supercurve in B-L(m+n) is given and also some theorems for Bertrand supercurve in B-L(4+4) are obtained.