Conghan Dong

activity

20192026

most cited

W^{1, p}

-metrics and conformal metrics with

L^{n /2}

-bounded scalar curvature

2 citations · 2 across the 9 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.DG2026

The Penrose conjecture for initial data sets satisfying a $2$ -convexity condition

Conghan Dong

Let $(M^{3}, g, k)$ be a smooth, connected, asymptotically flat initial data set with connected outermost past apparent horizon $Σ$ . We prove the Penrose conjecture, namely…

math.DG2026

On $3$ -manifolds with small mass and $L^{2}$ -curvature

Conghan Dong, Antoine Song

One of S.T. Yau's problems asks the following: given a $3$ -dimensional asymptotically flat manifold $M$ with non-negative scalar curvature and $L^{2}$ -norm of the curvature tensor at…

math.DG2026

The $σ$ -inverse mean curvature flow and the generalized Penrose conjecture

Conghan Dong

Let $(M^{3}, g, k)$ be a complete asymptotically flat initial data set satisfying the dominant energy condition, and let $m$ denote its ADM mass. The generalized Penrose con…

The Penrose conjecture for initial data sets satisfying a 2-convexity condition

On 3-manifolds with small mass and L2-curvature

The σ-inverse mean curvature flow and the generalized Penrose conjecture

The Penrose conjecture for initial data sets satisfying a $2$ -convexity condition

On $3$ -manifolds with small mass and $L^{2}$ -curvature

The $σ$ -inverse mean curvature flow and the generalized Penrose conjecture