辛几何流

Pub Date : 2023-11-20 DOI:10.4310/pamq.2023.v19.n4.a6
Teng Fei, Duong H. Phong
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引用次数: 0

摘要

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。
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Symplectic geometric flows
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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