广义Kähler Taub-NUT度量和两个例外实例

IF 0.7 4区数学 Q2 MATHEMATICS

Communications in Analysis and Geometry Pub Date : 2022-01-01 DOI:10.4310/cag.2022.v30.n7.a5

Brian Weber

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引用次数: 5

摘要

我们研究了扭曲Kahler Taub-NUT度量的单参数家族(由Donaldson发现)，以及两个例外的Taub-NUT-样瞬子，并将它们理解到足以进行膨胀和粘滞论证的程度。特别是，我们从原点参数化它们的测地线，确定曲率衰减率，公制球的体积增长率，并找到吹落极限。

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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Generalized Kähler Taub-NUT metrics and two exceptional instantons

We study the one-parameter family of twisted Kahler Taub-NUT metrics (discovered by Donaldson), along with two exceptional Taub-NUT-like instantons, and understand them to the extend that should be sufficient for blow-up and gluing arguments. In particular we parametrize their geodesics from the origin, determine curvature fall-off rates, volume growth rates for metric balls, and find blow-down limits.

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.