Some Conharmonically Flat Manifold

eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August 2009 21 2 543 552 jusps-A 1221 article Some Conharmonically Flat Manifold Rajendra Prasad (rp_manpur@rediffmail.com) 1 Satya Prakash Yadav (satyamath23@rediffmail.com 2 Department of mathematics and Astronomy, University of Lucknow, -226007 (INDIA) Department of Mathematics, University of Allahabad, Allahabad -211002 (INDIA) 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. https://www.ultrascientist.org/paper/1221/ Kenmotsu manifold Contact manifold, Eigenvalue Eigenvector.