# Foliations between crooked planes in 3-dimensional Minkowski space

**Authors:** Jean-Philippe Burelle, Dominik Francoeur

arXiv: 1903.01587 · 2019-03-06

## TL;DR

This paper proves that any two disjoint crooked planes in three-dimensional Minkowski space can be connected through a crooked foliation, resolving a previously posed question in the field.

## Contribution

It demonstrates that all disjoint crooked planes in R^3 are part of a crooked foliation, providing a complete answer to an open problem.

## Key findings

- Any two disjoint crooked planes in R^3 are leaves of a crooked foliation.
- The result confirms the existence of foliations containing given disjoint crooked planes.
- Answers a question posed by Charette and Kim.

## Abstract

We show that any two disjoint crooked planes in R^3 are leaves of a crooked foliation. This answers a question asked by Charette and Kim.

## Full text

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## Figures

3 figures with captions in the complete paper: https://tomesphere.com/paper/1903.01587/full.md

## References

10 references — full list in the complete paper: https://tomesphere.com/paper/1903.01587/full.md

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Source: https://tomesphere.com/paper/1903.01587