Man-Chun Lee

activity

20222026

most citedCollapsing immortal Kähler-Ricci flows

1 citations · 1 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.DG2024

Homological $n$ -systole in $(n + 1)$ -manifolds and bi-Ricci curvature

Jianchun Chu, Man-Chun Lee, Jintian Zhu

In this paper, we prove an optimal systolic inequality and the corresponding rigidity in the equality case on closed manifolds with positive bi-Ricci curvature, which generalizes t…

math.DG2024

On Kähler manifolds with non-negative mixed curvature

Jianchun Chu, Man-Chun Lee, Jintian Zhu

In this work, we investigate compact Kähler manifolds with non-negative or quasi-positive mixed curvature coming from a linear combination of the Ricci and holomorphic sectional cu…

math.DG2024

Llarull's theorem on punctured sphere with $L^{\infty}$ metric

Jianchun Chu, Man-Chun Lee, Jintian Zhu

The classical Llarull theorem states that a smooth metric on $n$ -sphere cannot have scalar curvature no less than $n (n - 1)$ and dominate the standard spherical metric at the same ti…

math.DG2024★ 1 cited

Collapsing immortal Kähler-Ricci flows

Hans-Joachim Hein, Man-Chun Lee, Valentino Tosatti

We consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical me…

Homological n-systole in (n+1)-manifolds and bi-Ricci curvature

On Kähler manifolds with non-negative mixed curvature

Llarull's theorem on punctured sphere with L∞ metric

Collapsing immortal Kähler-Ricci flows

Homological $n$ -systole in $(n + 1)$ -manifolds and bi-Ricci curvature

Llarull's theorem on punctured sphere with $L^{\infty}$ metric