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, sa.4, ss.885-905, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 4
  • Basım Tarihi: 2016
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.885-905
  • Kocaeli Üniversitesi Adresli: Evet

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.