CORDIS Project
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This project addresses the mathematical challenges of finding specific metrics in Kähler geometry, particularly focusing on the Calabi flow. It aims to analyze singularities in geometric flows, contributing to theoretical advancements in this area.
In the 1950s, Calabi proposed a program in Kahler geometry and then introduced the Calabi flow, aiming to find the constant scalar curvature Kahler (cscK) metrics.
When the first Chern class is zero, the cscK metric reduces to Ricci flat Kahler metric.
The problem to find such metrics is called Calabi conjecture.
Its resolution was Yau's Fields medal work.
Generally, it is known as the Yau-Tian-Donaldson conjecture.
Geometric flow provides an effective way to find canonical metrics. E.g., the th…
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