Degenerate Hermitian Manifolds
✍ Scribed by Fazilet Erkekog˜lu
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 450 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1385-0172
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We prove the vanishing of the Dolbeault cohomology groups on Hermitian manifolds with dd charmonic Kähler 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 × S 2m+1 → CP n × CP m parametrized by a function ϕ 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