Some Conharmonically Flat Manifold 

Author & Affiliation:
Rajendra Prasad (rp_manpur@rediffmail.com)
Department of mathematics and Astronomy, University of Lucknow, -226007 (INDIA)
Satya Prakash Yadav (satyamath23@rediffmail.com
Department of Mathematics, University of Allahabad, Allahabad -211002 (INDIA)
Keyword:
Kenmotsu manifold, Contact manifold,, Eigenvalue, Eigenvector.
Issue Date:
August 2009
Abstract:

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 f1f2 and ffor 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.

Pages:
543-552
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

R. Prasad; S. P. Yadav, "Some Conharmonically Flat Manifold ", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 543-552, 2018

Copy 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, 2018

Available from: https://www.ultrascientist.org/paper/1221/

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