Article detail · 2022
On Z-Symmetric Manifold Admitting Projective Curvature Tensor
International Electronic Journal of Geometry
YÖKSİS
OpenAlex
Open access · bronze
SJR Q3
TR Index
Citations 3
Percentile 70.6%
FWCI 1.03
- Year
- 2022
- ISSN
1307-5624- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
English (OpenAlex)
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.
Topics
- Geometric Analysis and Curvature Flows
- Advanced Differential Geometry Research
- Tensor decomposition and applications
Primary topic Geometric Analysis and Curvature Flows