Sasakian Finsler manifolds

Yaliniz A. F., ÇAlişKan N.

Turkish Journal of Mathematics, cilt.37, sa.2, ss.319-339, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3906/mat-1006-371
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.319-339
  • Anahtar Kelimeler: Almost contact manifold, Finsler connection, Nonlinear connection, Riccitensor, Sasakian manifold, Vector bundle
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this study, almost contact Finsler structures on vector bundle are defined and the condition of normality in terms of the Nijenhuis torsion NΦ of almost contact Finsler structure is obtained. It is shown that for a K-contact structure on Finsler manifold ∇xΞ = 1/2ΦX and the flag curvature for plane sections containing Ξ are equal to 1/4 . By using the Sasakian Finsler structure, the curvatures of a Finsler connection ∇ on V are obtained. We prove that a locally symmetric Finsler manifold with K-contact Finsler structure has a constant curvature 1/4 . Also, the Ricci curvature on Finsler manifold with K-contact Finsler structure is given. As a result, Sasakian structures in Riemann geometry and Finsler condition are generalized. As a conclusion we can state that Riemannian Sasakian structures are compared to Sasakian Finsler structures and it is proven that they are adaptable. © TÜBİTAK.