On a Localized Riemannian Penrose Inequality

Pengzi Miao

Type: Article

Publication Date: 2009-05-18

Citations: 35

DOI: https://doi.org/10.1007/s00220-009-0834-0

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Communications in Mathematical Physics - View
arXiv (Cornell University) - View - PDF
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Works That Cite This (35)

Action	Title	Year	Authors
+	On compact 3-manifolds with nonnegative scalar curvature with a CMC boundary component	2018	Pengzi Miao Naqing Xie
+	Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space	2020	Aghil Alaee Armando Cabrera Pacheco Stephen McCormick
+	On Weyl's embedding problem in Riemannian manifolds	2016	Siyuan Lu
+	On Hawking mass and Bartnik mass of CMC surfaces	2018	Pengzi Miao Yaohua Wang Naqing Xie
+	Boundary effect on compact manifolds with nonnegative scalar curvature - a generalization of a theorem of Shi and Tam	2009	Michael Eichmair Pengzi Miao Xiaodong Wang
+	On the Rigidity of Riemannian-Penrose Inequality for Asymptotically Flat 3-manifolds with Corners	2017	Yuguang Shi Wenlong Wang Haobin Yu
+ PDF Chat	Critical Points of Wang–Yau Quasi-Local Energy	2011	Pengzi Miao Luen-Fai Tam Naqing Xie
+ PDF Chat	Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature	2019	Siyuan Lu Pengzi Miao
+ PDF Chat	Geometric Inequalities for Quasi-Local Masses	2020	Aghil Alaee Marcus Khuri Shing‐Tung Yau
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Works Cited by This (9)

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+ PDF Chat	Positive Mass Theorem and the Boundary Behaviors of Compact Manifolds with Nonnegative Scalar Curvature	2002	Yuguang Shi Luen-Fai Tam
+	The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature	1997	Hubert L. Bray
+	Isoperimetric inequalities in mathematical physics	1951	George Pólya Gábor Szegő
+ PDF Chat	Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem	2001	Hubert L. Bray
+ PDF Chat	Quasi-Local Mass and the Existence of Horizons	2007	Yuguang Shi Luen-Fai Tam
+	The Weyl and Minkowski problems in differential geometry in the large	1953	Louis Nirenberg
+ PDF Chat	On the proof of the positive mass conjecture in general relativity	1979	Richard Schoen Shing-Tung Yau
+ PDF Chat	The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality	2001	Gerhard Huisken Tom Ilmanen
+ PDF Chat	Positive mass theorem on manifolds admitting corners along a hypersurface	2002	Pengzi Miao