- Journal of Engineering Technology and Applied Sciences
- Cilt: 10 Sayı: 2
- The Application of A New Type of Connection on $3$-dimensional Quasi-Sasakian Manifolds
The Application of A New Type of Connection on $3$-dimensional Quasi-Sasakian Manifolds
Authors : Azime Çetinkaya
Pages : 71-96
Doi:10.30931/jetas.1699264
View : 114 | Download : 44
Publication Date : 2025-08-30
Article Type : Research Paper
Abstract :Firstly we define a new type of quarter symmetric non-metric connection on almost contact metric manifolds. Using this connection, we investigate some curvature conditions on $3$-dimensional quasi-Sasakian manifolds e.g. $(\\\\widetilde{R}(X,\\\\xi).\\\\widetilde{R})(Y,V)W=0$, $(\\\\widetilde{P}(X,\\\\xi).\\\\widetilde{H})(Y,V)W=0$, $(\\\\widetilde{R}(X,\\\\xi).\\\\widetilde{S})(Y,Z)=0,$ $(\\\\widetilde{H}(X,\\\\xi).\\\\widetilde{S})(Y,Z)=0,$ and $(\\\\widetilde{P}(X,\\\\xi).\\\\widetilde{S})(Y,Z)=0$. Also we study $\\\\eta $-parallel $3$-dimensional quasi-Sasakian manifolds respect to this connection. Finally we give an example about 3-dimensional quasi-Sasakian manifold given with this connection.Keywords : Quarter-Simetrik Metrik Olmayan Koneksiyon, 3 boyutlu Quasi-Sasakian Manifold, $eta $-paralel
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