Advanced Studies: Euro-Tbilisi Mathematical Journal

Warped product contact CR-submanifolds in locally conformal almost cosymplectic manifold

Lakshmi M S, H. G. Nagaraja

In this paper, we investigate warped product contact CR-submanifolds of the form
N^⊥ ⨯_f N^T within a locally conformal almost cosymplectic manifold. Here, N^⊥ represents an anti-invariant submanifold, N^T is an invariant submanifold and f denotes the warping function. We provide a characterization for the existence of such warped products. Additionally, we establish an inequality relating the squared norm of the second fundamental form to the warping function for these warped product contact CR-submanifolds. The cases of equality are also explored.


Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 19(1) (2026), pp. 17-29