紧致齐次空间上Ricci流的坍缩古解

IF 1.5 1区数学 Q1 MATHEMATICS

Proceedings of the London Mathematical Society Pub Date : 2021-10-12 DOI:10.1112/plms.12478

Francesco Pediconi, Sammy Sbiti

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引用次数: 0

摘要

我们证明了紧齐次空间上Ricci流的坍缩古解的一般存在性定理，并证明了它们收敛于Gromov-Hausdorff拓扑，在适当的重标度下，收敛于基于环面振动的爱因斯坦度规。这种结构概括了文献中所有以前已知的例子。

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Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces

We prove a general existence theorem for collapsed ancient solutions to the Ricci flow on compact homogeneous spaces and we show that they converge in the Gromov–Hausdorff topology, under a suitable rescaling, to an Einstein metric on the base of a torus fibration. This construction generalizes all previous known examples in the literature.

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来源期刊

Proceedings of the London Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Proceedings of the London Mathematical Society is the flagship journal of the LMS. It publishes articles of the highest quality and significance across a broad range of mathematics. There are no page length restrictions for submitted papers. The Proceedings has its own Editorial Board separate from that of the Journal, Bulletin and Transactions of the LMS.