k-ALMOST NEWTON-EINSTEIN SOLITONS ON HYPERSURFACES IN GENERALIZED SASAKIAN SPACE FORMS

This research article is based on the study of k-Almost Newton -Einstein solitons (k-ANES) immersed into a generalized Sasakian space forms (GSS-forms). We obtain the minimal and totally geodesic condi-tion for the hypersurface of generalized Sasakian space forms in terms of k-ANES. Besides, we show that a hypersurface Mn of generalized Sasakian space forms admits the steady k-Almost Newton-Einstein soli -tons. A few applications of generalized Sasakian space forms that al-low k-Almost Newton-Einstein soliton are also explained. We explore the triviality of the Schur's type inequality and show that the gradient Newton-Einstein soliton on GSS-manifold is compact.