Title: Constructing a Metric by Pullback on a Linear Normalized Space In this article, we aim to construct a metric by pulling back a metric on a suitable linear normalized space $H$ that we carefully constructed. We begin by defining the generators of the free group $F_2$ as $a$ and $b$. Step 1: Constructing the Linear Normalized Space $H We construct the linear normalized space $H$, which is spanned by the basis $\Lambda = \Lambda_a \cup \Lambda_b$. Here, $\Lambda_a$ and $\Lambda_b$ are define…
