On Z-Symmetric Manifold Admitting Projective Curvature Tensor

Yavuz Tasci A., Zengin F.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.15, sa.1, ss.39-46, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.36890/iejg.986956
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.39-46
  • Anahtar Kelimeler: Projective curvature tensor, Z-symmetric tensor, Codazzi tensor, recurrent tensor
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The object of the present paper is to study the Z-symmetric manifold with the projective curvature tensor. At first, we study the case of Z-tensor and projective Ricci tensor being of Codazzi type. Next, we consider recurrent Z-tensor and recurrent projective Ricci tensor. We also study the Z-symmetric manifold with projective curvature tensor with divergence-free Z-tensor. Finally, we construct an example of the Z-symmetric manifold with projective curvature tensor.