Timeline for Jet bundles and partial differential operators
Current License: CC BY-SA 3.0
5 events
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Sep 29, 2011 at 13:26 | comment | added | Willie Wong | I'm accepting this answer because, as pointed out by Michael, the issue is mostly topological. Deane's comments also helped greatly. In particular, Goldschmidt's 1967 JDG paper "Integrability Criteria..." mentioned the same issue, namely that the topological condition from the point of view of a submersion maybe too restrictive (see the paragraph before Defn. 7.2). | |
Sep 29, 2011 at 13:23 | vote | accept | Willie Wong | ||
Sep 28, 2011 at 16:16 | history | edited | Michael Bächtold | CC BY-SA 3.0 |
added 1120 characters in body; added 72 characters in body
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Sep 28, 2011 at 12:37 | comment | added | Willie Wong | Of course. I wasn't clear about it in my question (sorry!), but of particular interest would also be the issue of when $H$ can be taken to be a submersion. In some sense the submersion requirement would be a good one, since for "dimension counting" purposes (whether an equation is over/under/just-okay-determined) it is usually a good idea for the equation to be defined by $\mathcal{R}$ a submanifold, not just an arbitrary closed set. | |
Sep 28, 2011 at 10:31 | history | answered | Michael Bächtold | CC BY-SA 3.0 |