Sequential Warped Product Submanifolds of Sasakian Manifolds

In this article, we study sequential warped product submanifolds of Sasakian manifolds and provide nonexistence results when the sequential warped product contains one invariant, one pointwise slant and one anti-invariant submanifold. For the only two possible types, we deduce some properties and establish Chen's inequality in these cases.

Automated summary

In this article, the authors investigate sequential warped product submanifolds of Sasakian manifolds, focusing on the case where the sequential warped product contains one invariant, one pointwise slant, and one anti-invariant submanifold. They provide nonexistence results for this particular scenario and deduce properties and establish Chen's inequality in the two possible cases.