Zetian Yan

activity

20242026

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4 papers · 1 filter

math.DG2024

Juhl type formulas for curved Ovsienko--Redou operators

Shane Chern, Zetian Yan

We prove Juhl type formulas for the curved Ovsienko--Redou operators and their linear analogues, which indicate the associated formal self-adjointness, thereby confirming two conje…

math.DG2024

Formal self-adjointness of a family of conformally invariant bidifferential operators

Jeffrey S. Case, Zetian Yan

We prove that the curved Ovsienko--Redou operators and a related family of differential operators are formally self-adjoint. This verifies two conjectures of Case, Lin, and Yuan.

math.DG2024

Rigidity of CMC hypersurfaces in 5-and 6-manifolds

Han Hong, Zetian Yan

We prove that nonnegative $3$ -intermediate Ricci curvature combined with uniformly positive $k$ -triRic curvature implies rigidity of complete noncompact two-sided stable minimal hy…

math.DG2024

Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds

Zetian Yan

We prove that a stable $C^{1, 1}$ -to-edge properly embedded free boundary minimal hypersurface $Σ^{3}$ of a $4$ -dimensional wedge domain $Ω_{θ}^{4}$ with angle $θ \in (0, π]$ is flat.