A note on existence and non-existence of horizons in some asymptotically flat 3-manifolds

DOI10.4310/MRL.2007.v14.n3.a4zbMath1130.53050arXivmath/0601480OpenAlexW2080342127MaRDI QIDQ2459325

Pengzi Miao

Publication date: 6 November 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601480

zbMATH Keywords

minimal surfaceasymptotically flat manifoldconformal classYamabe constantmaximal volumevacuum space-timehorizon surface

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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