A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton

IF 2.4 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis Pub Date : 2024-02-14 DOI:10.1007/s00039-024-00668-9

Richard H. Bamler, Charles Cifarelli, Ronan J. Conlon, Alix Deruelle

引用次数: 0

Abstract

We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of \(\mathbb{C}\times \mathbb{P}^{1}\) at one point. This completes the classification of such solitons in two complex dimensions.

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一种新的完整二维收缩梯度凯勒-里奇孤子

我们证明了在\(\mathbb{C}\times \mathbb{P}^{1}\)炸开的一点上存在一个唯一的完全收缩梯度凯勒-里奇孤子，它具有有界的标量曲率。这就完成了二维复数中此类孤子的分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.