On a class of Hermitian manifolds
β Scribed by Kinetsu Abe
- Publisher
- Springer-Verlag
- Year
- 1979
- Tongue
- English
- Weight
- 931 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
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
We consider a family of Riemannian submersions S 2n+1 Γ S 2m+1 β CP n Γ CP m parametrized by a function Ο on the base, whose squared exponential is used as a dilation factor on the fibers. The total space of these submersions is endowed with the complex structure of Calabi-Eckmann, and each member o