Work

Characterizations of Transversal Lightlike Submanifolds in Indefinite Golden Statistical Geometry

Year: 2026

Type: article

Abstract: We investigate transversal and radical transversal lightlike submanifolds (TLSs) of indefinite golden statistical manifolds (IGSMs). Using the dual affine connections associated with statistical structures, we obtain decomposition formulas and derive necessary and sufficient conditions for the integrability of the radical, screen, and lightlike transversal distributions. Criteria for totally geodesic foliations and local product structures are established. Explicit examples are provided to illustrate the theory. These results extend lightlike submanifold geometry to the golden statistical setting.

Source: Mathematics

DOI: 10.3390/math14040654

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: $3,137

Funder: Al-Imam Muhammad Ibn Saud Islamic University