Work

An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms

Year: 2025

Type: article

Abstract: In this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within complex space forms. We further identify the precise conditions under which these inequalities attain equality, providing valuable insights into their geometric and structural significance. Additionally, we also present results involving harmonic and Hessian functions, revealing a broader connection between curvature properties and analytic functions.

Source: Axioms

DOI: 10.3390/axioms14030213

Author: Md Aquib

Institution: Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University