Half-lightlike submanifolds with planar normal section in $R_{2}^{4}$

TL;DR

This paper studies specific submanifolds in four-dimensional pseudo Euclidean space, providing conditions for when they have planar normal sections, which enhances understanding of their geometric properties.

Contribution

It establishes necessary and sufficient conditions for half-lightlike submanifolds in $R_{2}^{4}$ to possess degenerate or non-degenerate planar normal sections.

Findings

Derived conditions for degenerate planar normal sections.

Derived conditions for non-degenerate planar normal sections.

Characterized geometric properties of half-lightlike submanifolds.

Abstract

We investigate half-lightlike submanifolds with planar normal sections of four dimensional pseudo Euclidean space. We obtain necessary and sufficient conditions for a half-lightlike submanifold of $R_{2}^{4}$ such that it has degenerate or non-degenerate planar normal sections.