Geodesic
Products of harmonic forms and rational curves
Documenta mathematica, Tome 6 (2001), pp. 227-239.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In general, the product of harmonic forms is not harmonic. We study the top exterior power of harmonic two-forms on compact Kähler manifolds. The non-harmonicity in this case is related to the geometry of the manifold and to the existence of rational curves in particular. K3 surfaces and hyperkähler manifolds are discussed in detail.
Classification : 14E05, 14J32, 32Q25
Keywords: harmonic forms, compact Kähler manifolds, Ricci-flat Kähler forms, rational curves 
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     author = {Huybrechts, Daniel},
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Huybrechts, Daniel. Products of harmonic forms and rational curves. Documenta mathematica, Tome 6 (2001), pp. 227-239. http://geodesic.mathdoc.fr/item/DOCMA_2001__6__a12/