Certain Results on Ricci Solitons in -Sasakian Manifolds

S. R. Ashoka, C. S. Bagewadi, Gurupadavva Ingalahalli
2013 Geometry  
We study Ricci solitons in -Sasakian manifolds and show that it is a shrinking or expanding soliton and the manifold is Einstein with Killing vector field. Further, we prove that if is conformal Killilng vector field, then the Ricci soliton in 3-dimensional -Sasakian manifolds is shrinking or expanding but cannot be steady.
doi:10.1155/2013/573925 fatcat:pdatotddcneytbdtiggsbc4rse