On Z-Symmetric Manifold Admitting Projective Curvature Tensor

Ays¸e Yavuz Tas¸cı*, Füsun Özen Zengin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)39-46
Number of pages8
JournalInternational Electronic Journal of Geometry
Volume15
DOIs
Publication statusPublished - 2022

Bibliographical note

Publisher Copyright:
© 2022

Keywords

  • Codazzi tensor
  • Projective curvature tensor
  • recurrent tensor
  • Z-symmetric tensor

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