A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton
A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton
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DOI：
10.1007/s00039-024-00668-9
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发表时间：
2022-06
影响因子：
2.2
通讯作者：
R. Bamler;C. Cifarelli;Ronan J. Conlon;Alix Deruelle
中科院分区：
文献类型：
--
作者：
R. Bamler;C. Cifarelli;Ronan J. Conlon;Alix Deruelle
We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{C}\times \mathbb{P}^{1}$\end{document} at one point. This completes the classification of such solitons in two complex dimensions.
We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{C}\times \mathbb{P}^{1}$\end{document} at one point. This completes the classification of such solitons in two complex dimensions.