Curvature Inequalities for C−Totally Real Doubly Warped Products of Locally Conformal Almost Cosymplectic Manifolds

Abstract

In this paper, we construct some optimal inequalities in terms of various curvatures and corresponding warping functions for C−totally real doubly warped products isometrically immersed into locally conformal almost cosymplectic manifold with pointwise φ−sectional curvature c. We also examine the doubly warped product in locally conformal almost cosymplectic manifold which satisfies the equality case of inequality. Finally, we provide the upper and lower bounds of warping functions.