List questions from jet-bundles

Published on 11 Jan 2015 - 18:27

836

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What is the origin of the terms 'jet' and 'prolongation' in differential geometry?

Published on 14 Jun 2015 - 22:55

200

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Towards an algebraic understanding of jet bundles: $R/\mathfrak{m}^r \cong \bigoplus^r_{j=0}\text{Symm}^j(\mathfrak{m}/\mathfrak{m}^2)$?

Published on 11 Nov 2015 - 1:36

2.6k

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Why is a PDE a submanifold (and not just a subset)?

Published on 27 Apr 2016 - 19:01

118

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Smoothing a continuous section in a fibre bundle.

Published on 03 May 2016 - 2:28

66

Views

elements of $Z$ can be written uniquely as $z=p d^{n+1}x+p_A^\mu dy^A \wedge d^nx_\mu$

Published on 14 Jun 2016 - 21:44

306

Views

$r$-jet of a smooth function and its fiber bundle.

Published on 02 Jul 2016 - 19:21

288

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Does every section of $J^r L$ come from some section $s\in H^0(C,L)$, with $L$ line bundle on a compact Riemann surface?

Published on 02 Apr 2013 - 9:53

80

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Which set is this $I_p(p)\cdot \Gamma(E)$?

Published on 15 Nov 2013 - 17:34

450

Views

Reference Request concerning Jet Bundles..

Published on 20 Nov 2013 - 23:38

717

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$k$-jets of sections of a vector bundle..

Published on 22 Nov 2013 - 12:13

81

Views

Total derivative as generalized vector field

Published on 27 Sep 2020 - 20:15

95

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Open subsets of Jet Bundles

Published on 25 Nov 2020 - 11:42

94

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Ring structure on a space of functions between vector spaces?

Published on 26 Dec 2020 - 14:29

80

Views

Proving a general formula for "tangent vectors" (actually $k$-th partial derivatives) when changing coordinates

Published on 19 Jan 2021 - 23:42

List Question

$k$-jets , submanifolds

What is the origin of the terms 'jet' and 'prolongation' in differential geometry?

Towards an algebraic understanding of jet bundles: $R/\mathfrak{m}^r \cong \bigoplus^r_{j=0}\text{Symm}^j(\mathfrak{m}/\mathfrak{m}^2)$?

Why is a PDE a submanifold (and not just a subset)?

Smoothing a continuous section in a fibre bundle.

elements of $Z$ can be written uniquely as $z=p d^{n+1}x+p_A^\mu dy^A \wedge d^nx_\mu$

$r$-jet of a smooth function and its fiber bundle.

Does every section of $J^r L$ come from some section $s\in H^0(C,L)$, with $L$ line bundle on a compact Riemann surface?

Which set is this $I_p(p)\cdot \Gamma(E)$?

Reference Request concerning Jet Bundles..

$k$-jets of sections of a vector bundle..

Total derivative as generalized vector field

Open subsets of Jet Bundles

Ring structure on a space of functions between vector spaces?

Proving a general formula for "tangent vectors" (actually $k$-th partial derivatives) when changing coordinates

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