12 citations · 62 across the 33 of their papers we have counts for
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Second Ricci flow on noncompact Hermitian manifolds
Man-Chun Lee
In this work, we first establish short time existence and Shi's type estimate of second Ricci flow on complete noncompact Hermitian manifolds. As an application, we use the second…
Weakly PIC1 manifolds with maximal volume growth
Fei He, Man-Chun Lee
In this article we use Ricci flow to show that complete PIC1 manifolds with maximal volume growth are diffeomorphic to . One of the key ingredients is local estimates…
Hermitian manifolds with quasi-negative curvature
Man-Chun Lee
In this work, we show that along a particular choice of Hermitian curvature flow, the non-positivity of Chern-Ricci curvature will be preserved if the initial metric has non-positi…
Longtime existence of Kähler Ricci flow and holomorphic sectional curvature
Shaochuang Huang, Man-Chun Lee, Luen-Fai Tam +1
In this work, we obtain a existence criteria for the longtime Kähler Ricci flow solution. Using the existence result, we generalize a result by Wu-Yau on the existence of Kähler Ei…