A Note on Integrability Conditions and Totally Geodesic Foliations of Distributions on a Semi-slant Lightlike Submanifold
Year: 2024
Type: article
Abstract: In the present paper, we consider a golden semi-Riemannian manifold and find its semi-slant lightlike submanifolds. We examine the integrability of the distributions $D_{1},D_{2}$ and $Rad \texttt{TJ}$ defined on semi-slant lightlike submanifolds. Further, we investigate the conditions of the foliations of the distributions when they become totally geodesic. The goal of this study is to determine the semi-slant lightlike submanifolds of a golden semi-Riemannian manifold. The distributions $D_{1},D_{2}$, and $Rad \texttt{TJ}$ defined on semi-slant lightlike submanifolds are examined for integrability. Additionally, we look at the circumstances surrounding the distributions' foliations when they reach complete geodesic.
Authors: Muqeem Ahmad, Mobin Ahmad
Institution: Integral University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4406152016