Abstract
Let M be a 3-dimensional quasi-Sasakian manifold. Olszak [6] proved that M is conformally flat with constant scalar curvature and hence its structure function $\beta$ is constant. We have shown that in such M, a second order symmetric parallel tensor is a constant multiple of the associated metric tensor. A necessary and sufficient condition for such a manifold to be minimal has been obtained. Finally if such M satisfies $R(X,Y).S =0$, then, S has two different non-zero eigen values.
Citation
Nandan Ghosh. Manjusha Tarafdar. "On three dimensional quasi-Sasakian manifolds." Tbilisi Math. J. 9 (1) 23 - 28, June 2016. https://doi.org/10.1515/tmj-2016-0003
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