Hemi-Slant Submanifolds of lcK Manifolds as Warped Products

TL;DR

This paper investigates hemi-slant submanifolds within lcK manifolds, characterizing their structure as warped products and providing estimates for their second fundamental form, advancing understanding of their geometric properties.

Contribution

It introduces new characterizations and estimations for hemi-slant submanifolds in lcK manifolds as warped products, expanding geometric analysis in this context.

Findings

Characterization theorems for hemi-slant submanifolds as warped products

Estimates for the squared length of the second fundamental form

Conditions under which these submanifolds exhibit specific geometric properties

Abstract

We study immersions of a hemi-slant submanifold of lcK manifolds as a warped product with the leaves of the holomorphic (respectively slant) distribution warped and establish characterisation theorems and estimations for the squared length of the second fundamental form in both cases.