On Holomorphic poly-Norden Manifolds

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Karaman Ç., Topuz Z.

TURKISH JOURNAL OF MATHEMATICS, cilt.44, ss.1388-1400, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-2001-36
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1388-1400
  • Anahtar Kelimeler: Poly-Norden structure, semisymmetric metric connection, Tachibana operator, bronze ratio
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we investigated a new manifold with a poly-Norden structure, which is inspired by the positive root of the equation x(2) - mx - 1 = 0. We call this new manifold as holomorphic poly-Norden manifolds. We examine some properties of the Riemann curvature tensor and give an example of this manifold. Then, we define a different connection on this manifold which is named the semisymmetric metric poly F-connection and study some properties of the curvature and torsion tensor field according to this connection.