The asymptotic behavior of the steady gradient Kähler–Ricci soliton of the Taub-NUT type of Apostolov and Cifarelli
Abstract
Abstract We first determine the asymptotic cone of the steady gradient Kähler–Ricci soliton of the Taub-NUT type constructed by Apostolov and Cifarelli. Then we study a special case and prove that it is an ALF Calabi–Yau metric in a certain sense. Finally, we construct new ALF Calabi–Yau metrics on crepant resolution of its quotients modeled on it using the method of Tian–Yau–Hein.
Fields of Study & Subjects
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Publication date
- 20 January 2026
- Language
- EN