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Vanishing theorems on hypersurfaces in Riemannian manifolds

✍ Scribed by Peng Zhu


Book ID
119330932
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
203 KB
Volume
75
Category
Article
ISSN
0362-546X

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Vanishing theorems on Hermitian manifold
✍ Bogdan Alexandrov; Stefan Ivanov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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