Classification of non-CSC extremal Kähler metrics on K-surfaces $$S^2_{\{\alpha \}}$$ and $$S^2_{\{\alpha ,\beta \}}$$

IF 1.3 2区 数学 Q1 MATHEMATICS Mathematische Annalen Pub Date : 2024-08-27 DOI:10.1007/s00208-024-02967-w
Yingjie Meng, Zhiqiang Wei
{"title":"Classification of non-CSC extremal Kähler metrics on K-surfaces $$S^2_{\\{\\alpha \\}}$$ and $$S^2_{\\{\\alpha ,\\beta \\}}$$","authors":"Yingjie Meng, Zhiqiang Wei","doi":"10.1007/s00208-024-02967-w","DOIUrl":null,"url":null,"abstract":"<p>We commonly refer to an extremal Kähler metric with finitely many singularities on a compact Riemann surface as a metric where the Hessian of the curvature of the Metric is Umbilical, known as an HCMU metric. In this study, we specifically classify non-CSC HCMU metrics on the K-surfaces <span>\\(S^2_{\\{\\alpha \\}}\\)</span> and <span>\\(S^2_{\\{\\alpha ,\\beta \\}}\\)</span>.</p>","PeriodicalId":18304,"journal":{"name":"Mathematische Annalen","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Annalen","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00208-024-02967-w","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

Abstract

We commonly refer to an extremal Kähler metric with finitely many singularities on a compact Riemann surface as a metric where the Hessian of the curvature of the Metric is Umbilical, known as an HCMU metric. In this study, we specifically classify non-CSC HCMU metrics on the K-surfaces \(S^2_{\{\alpha \}}\) and \(S^2_{\{\alpha ,\beta \}}\).

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
K 曲面 $$S^2_{\{alpha \}}$ 和 $$S^2_{\{alpha ,\beta \}}$ 上的非 CSC 极值凯勒度量的分类
我们通常把在紧凑黎曼曲面上具有有限多个奇点的极值凯勒度量称为度量,其中度量曲率的赫西阿斯是伞状的,称为 HCMU 度量。在这项研究中,我们特别对 K 曲面 \(S^2_{\{alpha \}}\ 和 \(S^2_{\{alpha ,\beta \}}\) 上的非 CSC HCMU 度量进行了分类。)
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Mathematische Annalen
Mathematische Annalen 数学-数学
CiteScore
2.90
自引率
7.10%
发文量
181
审稿时长
4-8 weeks
期刊介绍: Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück und Nigel Hitchin. The journal Mathematische Annalen was founded in 1868 by Alfred Clebsch and Carl Neumann. It was continued by Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguigon, Wolfgang Lück and Nigel Hitchin. Since 1868 the name Mathematische Annalen stands for a long tradition and high quality in the publication of mathematical research articles. Mathematische Annalen is designed not as a specialized journal but covers a wide spectrum of modern mathematics.
期刊最新文献
Coarsely holomorphic curves and symplectic topology On the uniqueness of periodic solutions for a Rayleigh–Liénard system with impulses Multifractality and intermittency in the limit evolution of polygonal vortex filaments Uniformly super McDuff $$\hbox {II}_1$$ factors Normalized solutions for Kirchhoff equations with Sobolev critical exponent and mixed nonlinearities
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1