Author

Conghan Dong

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Preprint Jul 2026

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

Let $(M^3, g, \mathbf{k})$ be a smooth, connected, asymptotically flat initial data set with connected outermost past apparent horizon $\Sigma $. We prove the Penrose conjecture, namely that $m_{\mathrm{ADM}}(g) \geq \sqrt{\frac{|\Sigma |}{16 \pi }} $, under the assumptions of the dominant energy condition and the $2$-...

Conghan Dong · 1 citation · ⚡1