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Results tagged with jets
Search options questions only
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user 11211
7
votes
1
answer
647
views
A very basic question about projections in formal PDE theory
I am learning formal PDE theory for my research and I am currently struggling to have a basic understanding of the operations involved in completing a (say, linear) PDE system to an involutive one (Ca …
- 7,817
8
votes
2
answers
636
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 ove …
- 7,817
17
votes
0
answers
1k
views
Jets of sections of vector bundles expressed by symmetrized iterated covariant derivatives -...
The (non-unique) bundle isomorphism between the bundle $J^r E$ of $r$-th order jets of sections of a vector bundle $\pi:E\rightarrow M$ and the direct sum $$\bigoplus^r_{k=0}\vee^kT^*M\otimes E\rightarrow …
- 7,817