ON BERTRAND SUPERCURVES IN SUPER-EUCLIDEAN SPACE

Tozak H., EKİCİ C., YORMAZ C.

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.10, sa.4, ss.14-30, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 4
  • Basım Tarihi: 2018
  • Dergi Adı: BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.14-30
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.