Slant Submersions in Generalized Sasakian Space Forms and Some Optimal Inequalities

This research examines key inequalities associated with the scalar and Ricci curvatures of slant submersions within generalized Sasakian space forms (GSSFs). We establish significant geometric constraints and conduct a detailed analysis of the conditions that lead to equality in these bounds. By expanding the existing framework of curvature inequalities, our results provide new insights into the geometric characteristics of slant submersions in contact structures.