Jing Wu

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math.DG2023

Sobolev inequalities in manifolds with nonnegative intermediate Ricci curvature

Hui Ma, Jing Wu

We prove Michael-Simon type Sobolev inequalities for $n$ -dimensional submanifolds in $(n + m)$ -dimensional Riemannian manifolds with nonnegative $k$ -th intermediate Ricci curvature b…

math.DG2019

Contracting axially symmetric hypersurfaces by powers of the $σ_{k}$ -curvature

Haizhong Li, Xianfeng Wang, Jing Wu

In this paper, we investigate the contracting curvature flow of closed, strictly convex axially symmetric hypersurfaces in $R^{n + 1}$ and $S^{n + 1}$ by $σ_{k}^{α}$ , whe…

Sobolev inequalities in manifolds with nonnegative intermediate Ricci curvature

Contracting axially symmetric hypersurfaces by powers of the σk​-curvature

Contracting axially symmetric hypersurfaces by powers of the $σ_{k}$ -curvature