Kähler–Ricci Flow on ${\textbf{G}}$-Spherical Fano Manifolds
Feng Wang, Xiaohua Zhu
Kähler–Ricci Flow on ${\textbf{G}}$-Spherical Fano Manifolds
We prove that the Gromov–Hausdorff limit of Kähler–Ricci flow on a ${\textbf{G}}$-spherical Fano manifold X is a ${\textbf{G}}$-spherical ${\mathbb {Q}}$-Fano variety $X_{\infty }$, which admits a (singular) Kähler–Ricci soliton. Moreover, the ${\textbf{G}}$-spherical variety structure of $X_{\infty }$ can be constructed as a center of torus ${\mathbb {C}}^*$-degeneration of X induced by an element in the Lie algebra of Cartan torus of ${\textbf{G}}$.
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