AW(k)-TYPE CURVES ACCORDING TO PARALLEL TRANSPORT FRAME IN EUCLIDEAN SPACE E-4


KİŞİ İ. , BÜYÜKKÜTÜK S. , Deepmala ., ÖZTÜRK G.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.31, ss.885-905, 2016 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 31 Konu: 4
  • Basım Tarihi: 2016
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Sayfa Sayıları: ss.885-905

Özet

In this paper, we study AW(k)-type (k = 1, 2,..., 7) curves according to the parallel transport frame in Euclidean space E-4. We give the classification of these types curves with the parallel transport curvatures (Bishop curvatures). Finally, we consider the curvatures k(1), k(2), k(3) as constants respectively and give the relations between the parallel transport curvatures of AW(k)-type (k = 1, 2,..., 7) curves.