A Generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu manifolds

TL;DR

This paper extends the Wintgen inequality to Legendrian submanifolds within almost Kenmotsu manifolds, providing a broader geometric inequality applicable to this class of submanifolds.

Contribution

It introduces a generalized Wintgen inequality specifically for Legendrian submanifolds in almost Kenmotsu manifolds, expanding the scope of known geometric inequalities.

Findings

Derived a new inequality for Legendrian submanifolds in almost Kenmotsu manifolds.

Established conditions under which the inequality holds.

Contributed to the understanding of submanifold geometry in almost Kenmotsu manifolds.

Abstract

Main interest of the present paper is to obtain the generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu manifolds.