Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory


Camci C.

TURKISH JOURNAL OF MATHEMATICS, cilt.36, sa.2, ss.305-318, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3906/mat-0910-103
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.305-318
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

In this work, we define a new cross product in 3-dimensional almost contact metric manifold and we study the theory of curves using this new cross product in this manifold. Besides, in the works of Baikousis, Blair [1] and Cho et al. [4], we observe that some theorems are incomplete and excessively generalized are thus their alternative proofs presented.