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.
Une variété est dite hessienne si elle admet une connexion plate et une métrique riemannienne telle que où est une fonction locale. On étudie la cohomologie des variétés hessiennes et on montre un théorème de dualité et des “vanishing theorems”.
@article{AIF_1986__36_3_183_0, author = {Shima, Hirohiko}, title = {Vanishing theorems for compact hessian manifolds}, journal = {Annales de l'Institut Fourier}, pages = {183--205}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {36}, number = {3}, year = {1986}, doi = {10.5802/aif.1065}, zbl = {0586.57013}, mrnumber = {88f:53059}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1065/} }
TY - JOUR AU - Shima, Hirohiko TI - Vanishing theorems for compact hessian manifolds JO - Annales de l'Institut Fourier PY - 1986 SP - 183 EP - 205 VL - 36 IS - 3 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1065/ DO - 10.5802/aif.1065 LA - en ID - AIF_1986__36_3_183_0 ER -
Shima, Hirohiko. Vanishing theorems for compact hessian manifolds. Annales de l'Institut Fourier, Volume 36 (1986) no. 3, pp. 183-205. doi : 10.5802/aif.1065. https://aif.centre-mersenne.org/articles/10.5802/aif.1065/
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