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

Diffstat

1 file changed, 1 insertion, 1 deletion

diff --git a/sections/structure.tex b/sections/structure.tex
@@ -359,7 +359,7 @@ extended to a canonical isomorphism of vector bundles, as seen in\dots
     \arraycolsep=1pt
     \begin{array}{rl}
       \psi_{i, \gamma} : H^1(U_\gamma) \times H^i(\gamma^* TM) \to
-      & \prod_{\eta \in H^1(I, M)} H^i(\eta^* TM) \\
+      & \coprod_{\eta \in H^1(I, M)} H^i(\eta^* TM) \\
       (X, Y) \mapsto &
       \begin{array}[t]{rl}
         \psi_{i, \gamma}(X) : I & \to \exp_\gamma(X)^* TM \\