2020
DOI: 10.1007/s11785-020-00984-6
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Aeppli Cohomology and Gauduchon Metrics

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Cited by 5 publications
(2 citation statements)
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“…A (M αβ ) = 1 (see the proof of [3,Theorem 3.3]) and that the Aeppli class of a pluriclosed Hermitian metric on a compact complex surface is non-zero (see e.g. [46]). Therefore, given any pluriclosed metric ω on M αβ one has [ω] = λ[ω Hopf ] for 0 < λ ∈ R, where the positivity of λ follows e.g.…”
Section: Bismut Hermitian-einstein Metricsmentioning
confidence: 99%
“…A (M αβ ) = 1 (see the proof of [3,Theorem 3.3]) and that the Aeppli class of a pluriclosed Hermitian metric on a compact complex surface is non-zero (see e.g. [46]). Therefore, given any pluriclosed metric ω on M αβ one has [ω] = λ[ω Hopf ] for 0 < λ ∈ R, where the positivity of λ follows e.g.…”
Section: Bismut Hermitian-einstein Metricsmentioning
confidence: 99%
“…In [14, p.467] it is proved that every left-invariant (2, 2)-form is d-exact (see also [15] for cohomological computations). Let us define a complex curve of almost complex structures on Γ\G through a basis of (1, 0) forms by setting…”
Section: Curves Of Almost Complex Structures Preserving the 2 Th -Powermentioning
confidence: 99%