K\"ahler-Ricci flow on a toric manifold with positive first Chern class
Abstract
In this note, we prove that on an n-dimensional compact toric manifold with positive first Chern class, the K\"ahler-Ricci flow with any initial (S1)n-invariant K\"ahler metric converges to a K\"ahler-Ricci soliton. In particular, we give another proof for the existence of K\"ahler-Ricci solitons on a compact toric manifold with positive first Chern class by using the K\"ahler-Ricci flow.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.