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
e9d4b817491e56e3d1817041eee5e08000363084
Parent
a2d3d09238a24f07f4d0484f690445b54d7c0813
Author
Pablo <pablo-escobar@riseup.net>
Date

Fixed the placement of a sentence

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
@@ -348,8 +348,6 @@ first section of \cite[ch.~11]{palais}, but unfortunately we cannot afford such
 a diversion in these short notes. Having said that, we are now finally ready to
 layout the Riemannian structure of \(H^1(I, M)\).
 
-We are finally ready to discuss some applications.
-
 \subsection{The Metric of \(H^1(I, M)\)}
 
 We begin our discussion of the Riemannian structure of \(H^1(I, M)\) by looking
@@ -562,3 +560,5 @@ induced isomorphism
   \Gamma\left(\operatorname{Sym}^2 \coprod_\gamma H^1(\gamma^* TM)\right)
   \isoto \Gamma(\operatorname{Sym}^2 T H^1(I, M))
 \]
+
+We are finally ready to discuss some applications.