Work

The asymptotic behavior of the steady gradient Kähler–Ricci soliton of the Taub-NUT type of Apostolov and Cifarelli

Year: 2026

Type: article

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.

Source: Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI: 10.1515/crelle-2025-0094

Author: Daheng Min

Institution: University of Münster

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

Award: G6938060324