On second non-HLC degree of closed symplecitc manifold
In this note, we show that for a closed almost-Kähler manifold [Formula: see text] with the almost complex structure [Formula: see text] satisfies [Formula: see text] the space of de Rham harmonic forms is contained in the space of symplectic-Bott–Chern harmonic forms. In particular, suppose that [Formula: see text] is four-dimensional, if the self-dual Betti number [Formula: see text], then we prove that the second non-HLC degree measures the gap between the de Rham and the symplectic-Bott–Chern harmonic forms.
2011 ◽
Vol 08
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pp. 925-928
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2012 ◽
Vol 09
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pp. 1250055
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2018 ◽
Vol 29
(14)
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pp. 1850099
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2008 ◽
Vol 17
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pp. 1429-1454
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