A Künneth formula holds for Dolbeault-Koszul cohomology of flat affine manifolds with one compact, used to describe all Hessian metrics on their products.
The topology of 3-dimensional hessian manifolds
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2026 2verdicts
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Non-negative Ricci curvature on one leaf of the Koszul foliation forces a Hessian metric to be flat and bounds the first Betti number by dimension and leaf topology.
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Kunneth formula for Hessian manifolds
A Künneth formula holds for Dolbeault-Koszul cohomology of flat affine manifolds with one compact, used to describe all Hessian metrics on their products.
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Ricci Curvature and Betti Numbers of Hessian Manifolds
Non-negative Ricci curvature on one leaf of the Koszul foliation forces a Hessian metric to be flat and bounds the first Betti number by dimension and leaf topology.