We classify almost C(α)-manifolds, which satisfy the curvature conditions (Z ) ̃(ξ,X)R=0, (Z ) ̃(ξ,X) (Z ) ̃=0, (Z ) ̃(ξ,X)S=0 and (Z ) ̃(ξ,X)P=0, where (Z ) ̃ is the concircular curvature tensor, P is the Weyl projective curvature tensor, S is the Ricci tensor and R is Riemannian curvature tensor of manifold.
| Published in |
Pure and Applied Mathematics Journal (Volume 4, Issue 1-2)
This article belongs to the Special Issue Applications of Geometry |
| DOI | 10.11648/j.pamj.s.2015040102.18 |
| Page(s) | 31-34 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Almost C(α)-Manifold, Concircular Curvature Tensor, Projective Curvature Tensor
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APA Style
Mehmet Atçeken, Umit Yildirim. (2015). On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor. Pure and Applied Mathematics Journal, 4(1-2), 31-34. https://doi.org/10.11648/j.pamj.s.2015040102.18
ACS Style
Mehmet Atçeken; Umit Yildirim. On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor. Pure Appl. Math. J. 2015, 4(1-2), 31-34. doi: 10.11648/j.pamj.s.2015040102.18
AMA Style
Mehmet Atçeken, Umit Yildirim. On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor. Pure Appl Math J. 2015;4(1-2):31-34. doi: 10.11648/j.pamj.s.2015040102.18
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Download@article{10.11648/j.pamj.s.2015040102.18,
author = {Mehmet Atçeken and Umit Yildirim},
title = {On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {1-2},
pages = {31-34},
doi = {10.11648/j.pamj.s.2015040102.18},
url = {https://doi.org/10.11648/j.pamj.s.2015040102.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2015040102.18},
abstract = {We classify almost C(α)-manifolds, which satisfy the curvature conditions (Z ) ̃(ξ,X)R=0, (Z ) ̃(ξ,X) (Z ) ̃=0, (Z ) ̃(ξ,X)S=0 and (Z ) ̃(ξ,X)P=0, where (Z ) ̃ is the concircular curvature tensor, P is the Weyl projective curvature tensor, S is the Ricci tensor and R is Riemannian curvature tensor of manifold.},
year = {2015}
}
TY - JOUR T1 - On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor AU - Mehmet Atçeken AU - Umit Yildirim Y1 - 2015/04/11 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.s.2015040102.18 DO - 10.11648/j.pamj.s.2015040102.18 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 31 EP - 34 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2015040102.18 AB - We classify almost C(α)-manifolds, which satisfy the curvature conditions (Z ) ̃(ξ,X)R=0, (Z ) ̃(ξ,X) (Z ) ̃=0, (Z ) ̃(ξ,X)S=0 and (Z ) ̃(ξ,X)P=0, where (Z ) ̃ is the concircular curvature tensor, P is the Weyl projective curvature tensor, S is the Ricci tensor and R is Riemannian curvature tensor of manifold. VL - 4 IS - 1-2 ER -
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