Timeline for Are positivity for forms and that for currents consistent when talking about smooth forms?
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| Jun 23, 2020 at 8:39 | comment | added | Richard Lärkäng | You should be more specific about what you mean by "> 0" for currents and forms. Do you mean > 0 as in strictly positive? In that case I would interpret "> 0 in the sense of currents" as \theta >= \epsilon \omega for some smooth strictly positive (1,1)-form \omega and \epsilon > 0, and if \theta is smooth, then then it is trivial that these notions of positivity are equal. If you mean "> 0" as in non-negative, then there are positive and strongly positive (k,k) forms and currents, but for a smooth (1,1)-form, all these notions of positivity coincide. | |
| Jun 22, 2020 at 15:20 | history | asked | jack lion | CC BY-SA 4.0 |