Research profile

Yi Yao

Works on Kähler–Ricci solitons, Kähler–Einstein & K-stability and Einstein metrics.

NP-RC-5650930000-0002-5054-1556

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Kähler–Ricci solitonsKähler–Einstein & K-stabilityEinstein metricsKähler geometryStability & uniquenessRicci solitons

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2019

math.DGv2arXiv:1908.09518

Relative Ding Stability and an Obstruction to the Existence of Mabuchi Solitons

Yi Yao

Mabuchi solitons generalize Kähler-Einstein metrics on Fano manifolds, which constitute a Yau-Tian-Donaldson type correspondence with relative Ding stability. Comparing with Kähler-Ricci solitons, there is a distinct necessary condition for the existence. We show this condition can be implied by the uniformly relative Ding stability. For this we study the inner product of -actions on equivariant test-configurations and obtain an integration formula over the total space. To analyze the uniform stability, by adapting Okounkov body construction to the setting of torus action, we give a convex-geometry description for the reduced non-Archimedean J-functionals.

Ricci solitonsKähler–Ricci solitonsEinstein metricsKähler geometryStability & uniquenessKähler–Einstein & K-stability
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