Addendum to "Bounded Isometries and Homogeneous Quotients", JGA 27 (2017), 56--64

TL;DR

This paper completes the proof of a key theorem in the study of bounded isometries and homogeneous quotients, building on previous work by Nikonorov and the authors.

Contribution

It provides a final, rigorous proof of Theorem 2.5, clarifying and solidifying the results in the original 2017 paper.

Findings

Theorem 2.5 is now fully proven.

The argument by Nikonorov is integral to the proof.

The results advance understanding of bounded isometries.

Abstract

An argument of Y. Nikonorov completes the proof of Theorem 2.5 in "Bounded Isometries and Homogeneous Quotients", JGA 27 (2017), 56--64 [arXiv:1502.04276].