Vaisman manifolds with large b1 and c1^b=0 are diffeomorphic to Kodaira-Thurston manifolds with left-invariant complex structure and regular foliation.
Istrati, Vaisman manifolds with vanishing first Chern class, Jour
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves local homogeneity for affine holomorphic geometric structures on Vaisman Calabi-Yau manifolds using a Beauville-Bogomolov decomposition and a new weak Bochner principle, plus infinite fundamental group results for related classes and explicit examples of simply connected non-Kähler Calabi-Yau
citing papers explorer
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On the Classification of Vaisman Manifolds with Vanishing First Basic Chern Class and Large First Betti Number
Vaisman manifolds with large b1 and c1^b=0 are diffeomorphic to Kodaira-Thurston manifolds with left-invariant complex structure and regular foliation.
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Non-K\"ahler Calabi-Yau manifolds and holomorphic geometric structures
Proves local homogeneity for affine holomorphic geometric structures on Vaisman Calabi-Yau manifolds using a Beauville-Bogomolov decomposition and a new weak Bochner principle, plus infinite fundamental group results for related classes and explicit examples of simply connected non-Kähler Calabi-Yau