Normal Smoothings for Charney-Davis Strict Hyperbolizations

TL;DR

This paper proves that strictly hyperbolized smooth cube manifolds can be endowed with normal smooth structures, advancing understanding of their geometric and topological properties.

Contribution

It introduces a method to construct normal smooth structures on Charney-Davis strict hyperbolizations of cube manifolds.

Findings

Existence of normal smooth structures on hyperbolized cube manifolds

Extension of smooth structures in hyperbolization procedures

Advancement in geometric topology of hyperbolic manifolds

Abstract

We prove that strictly hyperbolized smooth cube manifolds admit normal smooth structures.