Maximal Radius of Quaternionic Hyperbolic Manifolds

TL;DR

This paper establishes an explicit lower bound on the size of the largest possible embedded ball in quaternionic hyperbolic manifolds, contributing to geometric understanding of these spaces.

Contribution

It provides the first explicit lower bound on the radius of embedded balls in quaternionic hyperbolic manifolds, advancing geometric analysis in this area.

Findings

Explicit lower bound derived for embedded ball radius.

Improves understanding of geometric constraints in quaternionic hyperbolic spaces.

Potential applications in geometric topology and hyperbolic geometry.

Abstract

We derive an explicit lower bound on the radius of a ball embedded in a quaternionic hyperbolic manifold.