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http://dx.doi.org/10.4134/CKMS.2003.18.3.515

HARMONIC KAHLER FORMS ON HYPERKAHLER MANIFOLDS  

Park, Kwang-Soon (School of Mathematical Sciences Seoul National University)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.3, 2003 , pp. 515-519 More about this Journal
Abstract
Let M be a hyperkahler manifold with the hyperkahler structure (g, I, J, K). In [5], D. Huybrechts suggests that it is an open and interesting question whether any Kahler class that stays Kahler in the twister family can actually be represented by an harmonic Kahler form. In this paper we will consider both this problem and the set of all the primitive harmonic Kahler forms on M.
Keywords
hyperkahler; harmonic; Kahler forms;
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