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math.DG2021
Monge-Ampère equations on compact Hessian manifolds
Vincent Guedj, Tat Dat Tô
We consider degenerate Monge-Ampère equations on compact Hessian manifolds. We establish compactness properties of the set of normalized quasi-convex functions and show local and g…
math.DG2020★ 1 cited
Convergence of the Hesse-Koszul flow on compact Hessian manifolds
Stéphane Puechmorel, Tat Dat Tô
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…