Timeline for Can a metric conformal to a Kahler metric be Kahler?
Current License: CC BY-SA 3.0
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Jul 8, 2011 at 13:58 | comment | added | Francesco Polizzi | Ah ok, I did not notice that your complex structure $J$ was fixed. At any rate, I hope you can find this paper useful :-) | |
Jul 8, 2011 at 13:54 | comment | added | Gunnar Þór Magnússon | Thanks Francesco, that's an interesting article. However it does seem to answer a slightly different question. In the notation of the article, we have a fixed complex structure $J$ on $M$ (such that $X = (M,J)$) and ask for structures $(g_1,J,\omega_1)$ and $(g_2, J, \omega_2)$ such that: $g_2 = f^2 g_1$, and ask if the second structure can be Kahler if the first one is and if $f$ is non-constant. In particular, if this is possible, then both structures would induce the same orientation on $M$. | |
Jul 8, 2011 at 13:34 | history | undeleted | Francesco Polizzi | ||
Jul 8, 2011 at 13:34 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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Jul 8, 2011 at 13:32 | history | deleted | Francesco Polizzi | ||
Jul 8, 2011 at 13:27 | history | answered | Francesco Polizzi | CC BY-SA 3.0 |