Remark
This article has defined jets of local sections of a bundle, but it is possible to define jets of functions f: M → N, where M and N are manifolds; the jet of f then just corresponds to the jet of the section
- grf: M → M × N
- grf(p) = (p, f(p))
(grf is known as the graph of the function f) of the trivial bundle (M × N, π1, M). However, this restriction does not simplify the theory, as the global triviality of π does not imply the global triviality of π1.
Read more about this topic: Jet Bundle
Famous quotes containing the word remark:
“Alice felt dreadfully puzzled. The Hatter’s remark seemed to her to have no sort of meaning in it, and yet it was certainly English. “I don’t quite understand you,” she said, as politely as she could.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“The Cretans are always liars, evil beasts, slow bellies.”
—Bible: New Testament St. Paul, in Titus, 1:12.
Cited by Paul, this remark is attributed to Epimenides.
“The surest way to make a monkey of a man is to quote him. That remark in itself wouldn’t make any sense if quoted as it stands.”
—Robert Benchley (1889–1945)