Geometric inequalities on bi-warped product submanifolds of locally conformal almost cosymplectic manifolds

TL;DR

This paper explores geometric inequalities involving bi-warped product submanifolds within locally conformal almost cosymplectic manifolds, focusing on relationships between the second fundamental form and warping functions.

Contribution

It introduces new inequalities linking the second fundamental form and warping functions for bi-warped product submanifolds with proper slant submanifolds as base or fiber.

Findings

Derived inequalities relating second fundamental form and warping functions.

Established properties of bi-warped product submanifolds in the specified manifolds.

Analyzed conditions for proper slant submanifolds within this context.

Abstract

In this paper we present not only some properties related to bi-warped product submanifolds of locally conformal almost cosymplectic manifolds, but also we show how the squared norm of the second fundamental form and the bi-warped product's warping functions are related when the bi-warped product submanifold has a proper slant submanifold as a base or fiber.