Yi-Wei Liu

collaborators

3 papers

math.DG2026

Obata-type equations under the Bakry-Émery Ricci curvature conditions

Mijia Lai, Yiwei Liu

In this paper, based on the warped product structures determined by the Obata-type equations with Robin boundary condition, we establish some rigidity results for compact manifolds…

math.DG2026

A note on the lower bounds of the first nonzero Steklov eigenvalue on compact manifolds

Yiwei Liu, Yi-Hu Yang

Let $(Ω^{n + 1}, g)$ be an $(n + 1)$ -dimensional smooth compact connected Riemannian manifold with smooth boundary $Σ$ , satisfying that $Ric_{Ω} \geq 0$ and $Σ$ is strictly convex…

math.DG2024

Some rigidity results related to the Obata type equation

Yiwei Liu, Yihu Yang

Let $(Ω^{n + 1}, g)$ be an $(n + 1)$ -dimensional smooth complete connected Riemannian manifold with compact boundary $\partial Ω = Σ$ and $f$ a smooth function on $Ω$ which satisfies the…