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Vanishing theorems on compact hermitian symmetric spaces

✍ Scribed by Dennis M. Snow


Publisher
Springer-Verlag
Year
1988
Tongue
French
Weight
961 KB
Volume
198
Category
Article
ISSN
0025-5874

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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