Steady gradient Kähler-Ricci solitons on crepant resolutions of Calabi-Yau cones

Abstract

We show that, up to the flow of the soliton vector field, there exists a unique complete steady gradient Kähler-Ricci soliton in every Kähler class of an equivariant crepant resolution of a Calabi-Yau cone converging at a polynomial rate to Cao's steady gradient Kähler-Ricci soliton on the cone.

92 pages

References in corpus (2)

• On rotationally symmetric Kahler-Ricci solitons
• Steady Kähler-Ricci solitons on crepant resolutions of finite quotients of ${\mathbb{C}}^n$

Cited by in corpus (1)

• On the Gluing Construction of Translating Solitons to Lagrangian Mean Curvature Flow