THE RIEMANNIAN PENROSE INEQUALITY FOR ASYMPTOTICALLY FLAT MANIFOLDS WITH NON-COMPACT BOUNDARY

被引：0

作者：

Koerber, Thomas ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2023年 / 124卷 / 02期

关键词：

MEAN-CURVATURE FLOW; STAR-SHAPED HYPERSURFACES; POSITIVE MASS THEOREM; MINIMAL-SURFACES; REGULARITY; EXISTENCE; TOPOLOGY; PROOF; CONJECTURE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary whose asymptotic region is modeled on a half-space. To this end, we develop the theory of weak free boundary inverse mean curvature flow further and establish the monotonicity of a modified Hawking mass along this flow. Our result also implies a non-optimal Penrose inequality for asymptotically flat support surfaces in R3 conjectured by G. Huisken.

引用

页码：317 / 379

页数：63

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