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Displaying similar documents to “Geometric structures on the complement of a projective arrangement”

Vanishing theorems for compact hessian manifolds

Hirohiko Shima (1986)

Annales de l'institut Fourier

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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 2 u where u is a local function. We study cohomology for Hessian manifolds, and prove a duality theorem and vanishing theorems.