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Shima, Hirohiko
Vanishing theorems for compact hessian manifolds. Annales de l'institut Fourier, 36 no. 3 (1986), p. 183-205
Full text djvu | pdf | Reviews MR 88f:53059 | Zbl 0586.57013

stable URL: http://www.numdam.org/item?id=AIF_1986__36_3_183_0

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Abstract

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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