global-analysis-and-the-banach-manifold-of-class-h1-curvers

Riemannian Geometry course project on the manifold H¹(I, M) of class H¹ curves on a Riemannian manifold M and its applications to the geodesics problem

Commit: 3df5b00924c1f7332aa4bff81e05592c8fce58fa
Parent: 8a220889310ccfa1fcbee93869e69aad8a08f5d0
Author: Pablo <pablo-escobar@riseup.net>
Date: Mon, 3 Oct 2022 03:53:55 +0000

Removed an unnecessary label

Diffstat

1 file changed, 2 insertions, 2 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/structure.tex	4	2	2

diff --git a/sections/structure.tex b/sections/structure.tex
@@ -168,12 +168,12 @@ find\dots
 
 \begin{proof}
   Given \(\xi \in H^0(E)\) we have
-  \begin{equation}\label{eq:zero-norm-le-infty-norm}
+  \[
     \norm{\xi}_0^2
     = \int_0^1 \norm{\xi_t}^2 \; \dt
     \le \int_0^1 \norm{\xi}_\infty^2 \; \dt
     = \norm{\xi}_\infty^2
-  \end{equation}
+  \]
 
   Now given \(\xi \in H^1(E)\) fix \(t_0, t_1 \in I\) with \(\norm{\xi}_\infty
   = \norm{\xi_{t_1}}\) and \(\norm{\xi_{t_0}} \le \norm{\xi}_0\). If \(t_0 <