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--- ebsd2021:bourdon [2021/10/17 10:22] – escola
+++ ebsd2021:bourdon [2021/10/18 10:53] (current) – tahzibi
@@ Line 31: / Line 31: @@
 \end{split}\]
-\begin{lemma}[{Bourdon metric \cite[Chapter III.H Propositions 3.7 and 3.21]{BriHae:99}, \cite[Théorème 2.5.1]{Bou:95}}]
+For the following see [Bridson, Haefliger, Chapter III.H Propositions 3.7 and 3.21] or [Bourdon 1995].
-	For any $x\in X$, the function
+**Lemma.** For any $x\in X$, the function
 \[
 	d_x(\xi,\eta)
@@ Line 45: / Line 46: @@
 	= e^{\frac12(b_\xi(x,y)+b_\eta(x,y))}d_x(\xi,\eta).
 \]
-\end{lemma}
-This will be used some regularity properties of Gibbs cocycles.
+The above result will be used to state some regularity properties of Gibbs cocycles.