Symplectic geometric flows

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2023-11-20 DOI:10.4310/pamq.2023.v19.n4.a6

Teng Fei, Duong H. Phong

引用次数: 0

Abstract

Several geometric flows on symplectic manifolds are introduced which are potentially of interest in symplectic geometry and topology. They are motivated by the Type IIA flow and T‑duality between flows in symplectic geometry and flows in complex geometry. Examples include the Hitchin gradient flow on symplectic manifolds, and a new flow which is called the dual Ricci flow.

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辛几何流

介绍了辛流形上的几种几何流，它们在辛几何和拓扑学中具有潜在的研究价值。他们的动机是IIA型流动和T二象性之间的流动在辛几何和复杂几何。例子包括辛流形上的希钦梯度流和一种称为对偶里奇流的新流。

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

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.