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arXiv · 2411.04553

The asymptotic behavior of the steady gradient K\"ahler-Ricci soliton of the Taub-NUT type of Apostolov and Cifarelli

Daheng Min
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Abstract

We first determine the asymptotic cone of the steady gradient K\"ahler-Ricci soliton of the Taub-NUT type constructed by Apostolov and Cifarell. 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.

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Daheng Min. 2024-11-07. The asymptotic behavior of the steady gradient K\"ahler-Ricci soliton of the Taub-NUT type of Apostolov and Cifarelli. https://arxiv.org/abs/2411.04553

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