# The contact structure induced by a line fibration of R^3 is standard

## TL;DR

This paper proves that any contact structure on Euclidean 3-space arising from a line fibration is equivalent to the standard contact structure, confirming a conjecture and extending understanding of contact topology.

## Contribution

It demonstrates that all contact structures induced by line fibrations in R^3 are diffeomorphic to the standard contact structure, answering a question posed by Michael Harrison.

## Key findings

- All such contact structures are diffeomorphic to the standard one.
- The result confirms the uniqueness of the contact structure induced by line fibrations in R^3.
- The work extends the classification of contact structures in Euclidean 3-space.

## Abstract

Building on the work of and answering a question by Michael Harrison, we show that any contact structure on Euclidean 3-space induced by a line fibration is diffeomorphic to the standard contact structure.