Vanishing theorems on Hermitian manifold
β
Bogdan Alexandrov; Stefan Ivanov
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Article
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2001
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Elsevier Science
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English
β 107 KB
We prove the vanishing of the Dolbeault cohomology groups on Hermitian manifolds with dd charmonic KΓ€hler form and positive (1, 1)-part of the Ricci form of the Bismut connection. This implies the vanishing of the Dolbeault cohomology groups on complex surfaces which admit a conformal class of Hermi