Kähler-Ricci flow on a toric manifold with positive first Chern class

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125849In this note, we prove that on an $n$-dimensional compact toric manifold with positive first Chern class, the Kähler-Ricci flow with any initial $(S^1)^n$-invariant Kähler metric converges to a Kähler-Ricci soliton. In particular, we give another proof for the existence of Kähler-Ricci solitons on a compact toric manifold with positive first Chern class by using the Kähler-Ricci flow.Differential GeometryAnalysis of PDEsKähler-Ricci flow on a toric manifold with positive first Chern classtext