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- W2593302520 abstract "Let $(M, g)$ be a complete Riemannian 3-manifold that is asymptotic to Schwarzschild with positive mass and which has non-negative scalar curvature. We show that there are no outlying closed embedded stable constant mean curvature surfaces in $(M, g)$ whose area radius is much larger than their distance from the center of the manifold. On the way, we uncover a subtle relationship between the optimal constant in the classical Minkowski inequality and the estimate on the Hawking quasi-local mass due to D. Christodoulou and S.-T. Yau. Together with the contributions of G. Huisken and S.-T. Yau, J. Qing and G. Tian, S. Brendle and the second-named author, as well as the work of A. Carlotto and the authors, our result here completes the unconditional characterization of large closed embedded stable constant mean curvature surfaces in $(M, g)$ with vanishing scalar curvature: they are all leaves of the canonical foliation discovered by G. Huisken and S.-T. Yau." @default.
- W2593302520 created "2017-03-16" @default.
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- W2593302520 date "2017-03-07" @default.
- W2593302520 modified "2023-09-27" @default.
- W2593302520 title "Global uniqueness of large stable CMC surfaces in asymptotically flat 3-manifolds" @default.
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