221 research outputs found
Almost-K\"ahler four manifolds with harmonic self-dual Weyl curvature
We show that a compact almost-K\"ahler four manifold with
harmonic self-dual Weyl curvature and constant scalar curvature is K\"ahler if
. We also prove an integral curvature inequality for
compact almost-K\"ahler four manifolds with harmonic self-dual Weyl curvature
Almost-K\"ahler four manifolds with nonnegative biorthogonal curvature
We classify compact almost-K\"ahler four manifolds with nonnegative
biorthogonal curvature
Self-dual almost-K\"ahler four manifolds
We classify compact self-dual almost-K\"ahler four manifolds of positive type
and zero type. In particular, using LeBrun's result, we show that any self-dual
almost-K\"ahler metric on a manifold which is diffeomorphic to
is the Fubini-Study metric up to rescaling. In case of
negative type, we classify compact self-dual almost-K\"ahler four manifolds
with -invariant Ricci tensor
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