On C5 ⊕ C12 –Manifolds

Ali A.  Abdulaali; M. Y.  Abass

doi:10.24996/ijs.2025.66.10.28

Authors

Ali A. Abdulaali Department of Mathematics, College of Science, University of Basrah, Basra, Iraq https://orcid.org/0009-0000-1560-7655
M. Y. Abass Department of Mathematics, College of Science, University of Basrah, Basra, Iraq https://orcid.org/0000-0003-1095-9963

DOI:

https://doi.org/10.24996/ijs.2025.66.10.28

Keywords:

almost contact metric manifold, Kenmotsu manifolds, Einstein manifold, Cartan’s Structure Equations, Riemannian Curvature tensor

Abstract

In this paper, we explore the geometric properties and tensor components of C₅ ⊕ C₁₂ -manifolds. Firstly, we established the characteristics identity of this class on G-structure adjoined space and found the equivalent conditions for the defining condition of the class in terms of Kirichenko’s tensors. Furthermore, the Cartan structure equations, components of the Riemannian curvature tensor, and the Ricci tensor are derived of this class. Finally, we introduced the appropriate conditions for these manifolds to be Einstein manifolds.