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Rendiconti del Seminario Matematico della Università di Padova
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J. H. Eschenburg, R. Tribuzy (1993)
Rendiconti del Seminario Matematico della Università di Padova
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A manifold is said to be Hessian if it admits a flat affine connection and a Riemannian metric such that where is a local function. We study cohomology for Hessian manifolds, and prove a duality theorem and vanishing theorems.