In the present paper we carry on a systematic study of conharmonically flat generalized Sasakian space form and conharmonically flat (k,µ)- manifold. We have find the eigenvalues and eigenvectors of Ricci-operator Q. Further, we have established the relations between f1, f2 and f3 for three dimensional conharmonically flat generalized Sasakian space form and proved that curvature tensor of three dimensional conharmonically flat generalized Sasakian space form is zero. We have find the condition that a (k,µ)- manifold becomes an h-Einstein manifold and Einstein manifold. It is also proved that only three dimensional (k,µ)- manifold may be Einstein manifold iff k = 0.
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R. Prasad; S. P. Yadav, "Some Conharmonically Flat Manifold ", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 543-552, 2018Copy the following to cite this URL:
R. Prasad; S. P. Yadav, "Some Conharmonically Flat Manifold ", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 543-552, 2018Available from: https://www.ultrascientist.org/paper/1221/