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- W2999162276 abstract "We study the long time behavior of the Hesse-Koszul flow on compact Hessian manifolds. When the first affine Chern class is negative, we prove that the flow converges to the unique Hesse-Einstein metric. We also derive a convergence result for a twisted Hesse-Koszul flow on any compact Hessian manifold. These results give alternative proofs for the existence of the unique Hesse-Einstein metric by Cheng-Yau and Caffarelli-Viaclovsky as well as the real Calabi theorem by Cheng-Yau, Delanoe and Caffarelli-Viaclovsky." @default.
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- W2999162276 date "2023-10-16" @default.
- W2999162276 modified "2023-10-17" @default.
- W2999162276 title "Convergence of the Hesse–Koszul flow on compact Hessian manifolds" @default.
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- W2999162276 doi "https://doi.org/10.4171/aihpc/68" @default.
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