Timeline for Pullback of harmonic forms.
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 3, 2012 at 9:59 | comment | added | Gunnar Þór Magnússon | *finite morphisms covering $\to$ finite coverings | |
| Jun 3, 2012 at 9:58 | comment | added | Gunnar Þór Magnússon | Beware that the property of being "harmonic" depends on the metrics involved, so we are really talking about properties of Kahler manifolds $(X,\omega)$ and $(Y,\alpha)$. The obvious condition to demand for anything like pullbacks being harmonic to hold is that $f^*\alpha = \omega$, but this severely limits the canditates for $f$; I have a hard time thinking of other things than immersions and finite morphisms covering that could verify this (since no morphism w/positive dimensional fiber can). | |
| Jun 3, 2012 at 1:05 | comment | added | Francois Ziegler | The Baird-Wood book "Harmonic Morphisms Between Riemannian Manifolds" in that bibliography, has a full chapter (Chapter 8) on Holomorphic harmonic morphisms. | |
| Jun 3, 2012 at 0:09 | history | edited | orbifold | CC BY-SA 3.0 |
corrected spelling
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| Jun 3, 2012 at 0:08 | comment | added | orbifold | As far as I can tell Robert Bryants answer to that question just contains a definition of what one should call a harmonic morphism, i.e. the obvious one and the reference he gives discusses only Riemannian manifolds. | |
| Jun 2, 2012 at 23:55 | history | edited | orbifold | CC BY-SA 3.0 |
added 542 characters in body
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| Jun 2, 2012 at 23:38 | comment | added | Paul Reynolds | See the answers to this question mathoverflow.net/questions/96910/… | |
| Jun 2, 2012 at 23:25 | history | asked | orbifold | CC BY-SA 3.0 |