Tianci Luo

collaborators

4 papers

math.DG2026

Positive $τ$ -bi-Ricci curvature and Mean curvature flow with surgery in hyperbolic space

Tianci Luo, Yong Wei, Rong Zhou

Let $n \geq 3$ and $0 \leq τ \leq 2$ . We prove that every smooth closed connected immersed hypersurface in hyperbolic space whose induced metric has positive $τ$ -bi-Ricci curvature admit…

math.DG2026

Free boundary flows by powers of the Gauss curvature in the unit ball

Tianci Luo, Yong Wei, Rong Zhou

We study smooth compact strictly convex hypersurfaces in the unit ball that meet the support sphere orthogonally and evolve by the $α$ -Gauss curvature flow $\partial_{t} X = - K^{α} ν$ , $α>…

math.DG2026

Contraction of hypersurfaces with positive sectional curvature in hyperbolic space

Tianci Luo, Yong Wei, Rong Zhou

We study contracting curvature flows of compact hypersurfaces with positive sectional curvature in hyperbolic space $H^{n + 1}$ . The speed is assumed to be homogeneous of de…

math.AP2024

The horospherical $p$ -Christoffel-Minkowski problem in hyperbolic space

Tianci Luo, Yong Wei

The horospherical $p$ -Christoffel-Minkowski problem was posed by Li and Xu (2022) as a problem prescribing the $k$ -th horospherical $p$ -surface area measure of $h$ -convex domains i…

Positive τ-bi-Ricci curvature and Mean curvature flow with surgery in hyperbolic space

Free boundary flows by powers of the Gauss curvature in the unit ball

Contraction of hypersurfaces with positive sectional curvature in hyperbolic space

The horospherical p-Christoffel-Minkowski problem in hyperbolic space

Positive $τ$ -bi-Ricci curvature and Mean curvature flow with surgery in hyperbolic space

The horospherical $p$ -Christoffel-Minkowski problem in hyperbolic space