Optimization Approach for Extremities of Submanifolds in Locally Conformal Almost Cosymplectic Manifold Admitting SSMC

ABSTRACT The article is concerned with the etremities for the generalized normalized δ-Casorati curvatures of submanifolds in locally conformal almost cosymplectic manifold endowed with semi-symmetric metric connection using T. Oprea's technique. Applications of these inequalities give rise to several inequalities for hi-slant, hemi-slant, semi-slant, slant, invariant, anti-invariant, CR-submanifolds. Moreover, we characterizes submanifolds on which equalities hold. Also, we establish an inequality in terms of the warping function, the scalar curvature and the Casorati curvature for warped product submanifold of locally conformal almost cosymplectic manifold with semi symmetric metric connection together with some of its applications.