ON NORMAL ALMOST PARACONTACT METRIC MANIFOLDS OF DIMENSION 3

İrem Küpeli Erken

DOI Number
-
First page
777
Last page
788

Abstract


In this study, we make the first contribution to investigate under which conditions normal almost paracontact metric manifold of dimension 3 has cyclic parallel Ricci tensor, η-parallel Ricci tensor, Ricci-semisymmetry and locally ϕ-symmetry. Finally, an example of a 3-dimensional normal almost paracontact metric manifold which is locally ϕ-symmetric and has cyclic parallel Ricci tensor is presented.

Keywords


Normal almost paracontact metric manifolds, curvarure tensor, cyclic parallel Ricci tensor, locally φ-symmetric, η-parallel Ricci tensor

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References


- P. Dacko, On almost para-cosymplectic manifolds, Tsukuba J. Math. 28 (2004), 193-213.

-U.C. De, A. Yildiz, A. F. Yalınız, Locally φ-symmetric normal almost contact metric manifolds of dimension 3, Appl. Math. Lett. 22 (2009), 723-727.

- U.C. De, A. K. Mondal, On 3-dimensional normal almost contact metric manifolds satisfying certain curvature conditions, Commun. Korean Math. Soc. 24 (2009), 265-275.

- I. Kupeli Erken, C. Murathan, A Complete Study of Three-Dimensional Paracontact (κ,μ,ν)-spaces, Submitted. Available in Arxiv:1305.1511 [math. DG].


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