Certain Results on Ricci Solitons in α-Sasakian Manifolds. (15th July 2013)

• Record Type: Journal Article
• Authors: Ashoka, S. R.; Bagewadi, C. S.; Ingalahalli, Gurupadavva
• Other Names: Calvaruso Giovanni Academic Editor.
• Is Part Of: Geometry. Volume 2013(2013)
• Publication Date: 2013-07-15
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2013/573925
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : We study Ricci solitons in α -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 V is conformal Killilng vector field, then the Ricci soliton in 3-dimensional α -Sasakian manifolds is shrinking or expanding but cannot be steady.