# An extension of the Masur domain

**Authors:** Cyril Lecuire (IMT)

arXiv: 1901.03503 · 2019-01-14

## TL;DR

This paper introduces an extended version of the Masur domain, a key concept in hyperbolic geometry, demonstrating that it retains many properties of the original domain and potentially broadening its applications.

## Contribution

We define a new extension of the Masur domain and show that it preserves many of the original domain's properties, expanding the theoretical framework.

## Key findings

- The extended Masur domain shares key properties with the original.
- The extension broadens the applicability in hyperbolic geometry.
- Foundational step for further geometric analysis.

## Abstract

The Masur domain is a subset of the space of projective measured geodesic laminations on the boundary of a 3-manifold M. This domain plays an important role in the study of the hyperbolic structures on the interior of M. In this paper, we define an extension of the Masur domain and explain that it shares a lot of properties with the Masur domain.

## Full text

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## References

31 references — full list in the complete paper: https://tomesphere.com/paper/1901.03503/full.md

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Source: https://tomesphere.com/paper/1901.03503