On magnetic leaf-wise intersections

TL;DR

This paper introduces magnetic leaf-wise intersection points, generalizing previous concepts by incorporating magnetic effects, and proves their existence under specific topological conditions.

Contribution

It defines magnetic leaf-wise intersection points and establishes their existence under certain topological assumptions, extending prior work in the field.

Findings

Existence of magnetic leaf-wise intersection points proved.

Generalization of leaf-wise intersection points to include magnetic effects.

Provides topological conditions for existence proofs.

Abstract

In this article we introduce the notion of a magnetic leaf-wise intersection point which is a generalization of the leaf-wise intersection point with magnetic effects. We also prove the existence of magnetic leaf-wise intersection points under certain topological assumptions.