On the moduli space of negatively curved metrics of a hyperbolic manifold

TL;DR

This paper investigates the structure and properties of the space of all negatively curved metrics on a hyperbolic manifold, aiming to understand its geometric and topological features.

Contribution

It provides new insights into the moduli space of negatively curved metrics, exploring its structure and potential classifications.

Findings

Characterization of the moduli space structure

Identification of topological invariants

Insights into metric deformation spaces

Abstract

We study the moduli space of negatively curved metrics of a hyperbolic manifold.