几乎里奇平面4-流形的坍缩几何

IF 1.1 3区数学 Q1 MATHEMATICS

Commentarii Mathematici Helvetici Pub Date : 2020-04-07 DOI:10.4171/cmh/481

John Lott

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引用次数: 5

摘要

我们考虑了Gromov-Hausdorff收敛于低维极限空间且Ricci张量趋于零的黎曼4流形。除此之外，我们证明了如果极限空间是二维的，那么在一些温和的假设下，远离曲率爆炸区域的极限四维几何是半平坦的Kaehler。

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The collapsing geometry of almost Ricci-flat 4-manifolds

We consider Riemannian 4-manifolds that Gromov-Hausdorff converge to a lower dimensional limit space with the Ricci tensor going to zero. Among other things, we show that if the limit space is two dimensional then under some mild assumptions, the limiting four dimensional geometry away from the curvature blowup region is semiflat Kaehler.

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来源期刊

Commentarii Mathematici Helvetici 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： Commentarii Mathematici Helvetici (CMH) was established on the occasion of a meeting of the Swiss Mathematical Society in May 1928. The first volume was published in 1929. The journal soon gained international reputation and is one of the world''s leading mathematical periodicals. Commentarii Mathematici Helvetici is covered in: Mathematical Reviews (MR), Current Mathematical Publications (CMP), MathSciNet, Zentralblatt für Mathematik, Zentralblatt MATH Database, Science Citation Index (SCI), Science Citation Index Expanded (SCIE), CompuMath Citation Index (CMCI), Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), ISI Alerting Services, Journal Citation Reports/Science Edition, Web of Science.