eng
Ansari Education and Research Society
Journal of Ultra Scientist of Physical Sciences
November 2018
30
11
401
408
http://dx.doi.org/10.22147/jusps-A/301102
1507
article
*-Ricci Solitons on Kenmotsu Manifold
SUSHIL SHUKLA
1
SHIKHA TIWARI
1
Department of Applied Science (Mathematics) Madan Mohan Malaviya University of Technolog,Gorakhpur (UP) (India)
<p style="text-align:justify">A Ricci soliton is a generalization of an Einstein metric. Theoretical physicists have also been looking into the equation of Ricci soliton in relation with string theory. In the present paper we characterize Kenmotsu manifolds admitting a special type of Ricci soliton, called *-Ricci soliton. The main Theorem of the paper states that if a Kenmotsu manifold M admit *-Ricci soliton then, M is either D-Homothetic to an Einstein manifold or the soliton vector field leaves invariant.</p>
http://www.ultrascientist.org/paper/1507/
Ricci soliton
Kenmotsu manifold
Einstein manifold
Ams Subject Classification(2010):53C15,53C25