diff --git a/5-tensors.tex b/5-tensors.tex index fb243a2..1ec1426 100644 --- a/5-tensors.tex +++ b/5-tensors.tex @@ -337,7 +337,7 @@ \section{Tensor bundles} We now have the tools to further extend this idea and define tensor bundles as families of tensor spaces build on top of the fibres of the tangent bundle. \begin{definition} - The \emph{$(r,s)$-tensor bundle over $M$} as the bundle + The \emph{$(r,s)$-tensor bundle over $M$} is the bundle \begin{equation} T_s^r M = \bigsqcup_{p\in M}\left(\{p\}\times T_s^r(T_p M)\right) \end{equation}