Research profile

Guohao Wang

Works on Ricci-flat & Calabi–Yau, 4-manifolds and (Non)collapsing.

NP-RC-291918

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New work November 2026
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Ricci-flat & Calabi–Yau4-manifolds(Non)collapsingAncient solutionsHomogeneous spacesStability & uniquenessRicci solitons

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  1. Yuxing Deng

    1 joint worklatest 2026

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2026

math.DGarXiv:2611.08206

Classification of cohomogeneity one steady gradient Ricci solitons in dimension four and five

Yuxing Deng, Guohao Wang

In this paper, we first prove Appleton's conjecuture on the uniqueness of noncollapsed steady solitons constructed in. We also classify non-Ricci-flat -noncollapsed cohomogeneity one steady gradient Ricci solitons in dimension four and five. After passing to a finite cover, in dimension four, they must be the Bryant soliton or Appleton's noncollapsed 4d steady soliton; in dimension five, they must be the Bryant soliton or solitons constructed by Ivey–Dancer–Wang.

Ricci solitonsAncient solutionsRicci-flat & Calabi–Yau(Non)collapsing4-manifoldsHomogeneous spacesStability & uniqueness
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