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8 votes
2 answers
644 views

In which sense are Euler-Lagrange PDE's on fiber bundles quasi-linear?

In what follows, all manifolds are smooth, Hausdorff, paracompact, connected and oriented, and all maps between any two of them are assumed to be smooth. Let $\pi:E\rightarrow M$ be a fiber bundle ...
Pedro Lauridsen Ribeiro's user avatar
3 votes
0 answers
61 views

Integral sections of higher-order jet fields

I posted this topic on StackExchange, but it may suit this forum better. Consider a bundle $(E,\pi, M)$ and let $k\in \mathbb N$. I am going to adopt the notations and conventions by Saunders. ...
Parco Macelli's user avatar