Teichm\"uller Spaces and Bundles with Negatively Curved Fibers

TL;DR

This paper explores the structure of Teichmüller spaces of negatively curved metrics on high-dimensional manifolds and applies these findings to analyze bundles with negatively curved fibers.

Contribution

It introduces new insights into the geometry of Teichmüller spaces for high-dimensional negatively curved manifolds and their application to fiber bundle theory.

Findings

Characterization of Teichmüller spaces for high-dimensional negatively curved metrics

Applications to the topology of bundles with negatively curved fibers

New geometric invariants for such bundles

Abstract

We study the Teichm\"uller space of negatively curved metrics on a high dimensional manifold, with applications to bundles with negatively curved fibers.