Timeline for Does for every vector field there always exist a volume form for which the vector field is a homothety?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jan 14, 2014 at 19:32 | vote | accept | Vladimir S Matveev | ||
| Jan 5, 2014 at 10:26 | comment | added | Ben McKay | I think if you look at the Poincare-Dulac normal form for a strictly contracting vector field, you see that it preserves the standard volume form up to a constant multiple. So this suggests that every vector field with nonzero divergence at its zeroes preserves a volume form up to a constant multiple. | |
| Jan 4, 2014 at 22:26 | comment | added | Vladimir S Matveev | Thank you, Ben. You answer answers two of three questions; I leave the question unanswered for a while with a hope that somebody (may be you or Robert) answers the remaining question. | |
| Jan 4, 2014 at 18:54 | history | edited | Ben McKay | CC BY-SA 3.0 |
corrected mathematics
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| Jan 4, 2014 at 18:33 | history | answered | Ben McKay | CC BY-SA 3.0 |