Vanishing theorems for compact Hessian manifolds (Q1071352)
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scientific article; zbMATH DE number 3940276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vanishing theorems for compact Hessian manifolds |
scientific article; zbMATH DE number 3940276 |
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Vanishing theorems for compact Hessian manifolds (English)
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1986
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A manifold is said to be Hessian if it admits a flat affine connection D and a Riemannian metric g such that \(g=D^ 2u\) where u is a local function. We study cohomology for Hessian manifolds, and prove a duality theorem and vanishing theorems.
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cohomology for Hessian manifolds
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duality theorem
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vanishing theorems
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