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Remarks on Einstein-like Hermitian manifolds

✍ Scribed by Jaeman Kim


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
141 KB
Volume
60
Category
Article
ISSN
0031-5303

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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