η-RICCI SOLITONS ON LORENTZIAN β-KENMOTSU MANIFOLDS
SUSHILABAI ADIGOND
Department of Mathematics, Kuvempu University, Shankaraghatta-577451, Shimoga, Karnataka, India.
C. S. BAGEWADI *
Department of Mathematics, Kuvempu University, Shankaraghatta-577451, Shimoga, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
The object of the present paper is to study and obtain η-Ricci solitons on Lorentzian β-Kenmotsu manifolds when some curvature tensors satisfy geometric properties like Ricci - semisymmetry, Einstein-semisymmetry, partially Ricci-pseudosymmetry, W5-Ricci semisymmetry and W5-Ricci pseudosymmetry. The results are illustrated by means of example.
Keywords: Lorentzian β-Kenmotsu manifold, η-Ricci solitons, ricci-semisymmetric manifold, W5-curvature tensor