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- Pengzi Miao
- 2003

We study a class of non-smooth asymptotically flat manifolds on which metrics fails to be C across a hypersurface Î£. We first give an approximation scheme to mollify the metric, then we prove thatâ€¦ (More)

- Pengzi Miao
- 2008

Abstract: Motivated by problems related to quasi-local mass in general relativity, we study the static metric extension conjecture proposed by R. Bartnik [4]. We show that, for any metric on BÌ„1 thatâ€¦ (More)

- Pengzi Miao
- 2005

Let (M, g) be an asymptotically flat static vacuum initial data set with non-empty compact boundary Î£. We prove that (M, g) is isometric to a spacelike slice (R \ Bm 2 (0), (1 + m 2|x| ) 4Î´ij) of aâ€¦ (More)

- H. Bruce Bray, Pengzi Miao
- 2008

Given a surface in an asymptotically flat 3-manifold with nonnegative scalar curvature, we derive an upper bound for the capacity of the surface in terms of the area of the surface and the Willmoreâ€¦ (More)

- Vincent Bonini, Pengzi Miao, Jie Qing
- 2006

Rigidity questions for asymptotically hyperbolic manifolds have been studied by many authors under various assumptions. In [10], Minâ€“Oo proved a scalar curvature rigidity theorem for manifolds whichâ€¦ (More)

- Pengzi Miao, Yuguang Shi, LUEN-FAI TAM
- 2009

We discuss some geometric problems related to the definitions of quasilocal mass proposed by Brown-York [5] [6] and Liu-Yau [13] [14]. Our discussion consists of three parts. In the first part, weâ€¦ (More)

- Pengzi Miao
- 2009

Let Î© be a compact, orientable, three dimensional Riemannian manifold with boundary with nonnegative scalar curvature. Suppose its boundary âˆ‚Î© is the disjoint union of two pieces: Î£H and Î£O, where Î£Hâ€¦ (More)

- MICHAEL EICHMAIR, Pengzi Miao, Xiaodong Wang
- 2009

In this note, we prove the following generalization of a theorem of Shi and Tam [19]: Let (Î©, g) be an n-dimensional (n â‰¥ 3) compact Riemannian manifold, spin when n > 7, with non-negative scalarâ€¦ (More)

- Michael Eichmair, Pengzi Miao, Xiaodong Wang
- 2009

In this note, we prove the following generalization of a theorem of Shi and Tam (J Differ Geom 62:79â€“125, 2002): Let ( , g) be an n-dimensional (n â‰¥ 3) compact Riemannian manifold, spin when n > 7,â€¦ (More)

- Pengzi Miao
- 2011

Let R be a constant. Let MÎ³ be the space of smooth metrics g on a given compact manifold Î©n (n â‰¥ 3) with smooth boundary Î£ such that g has constant scalar curvature R and g|Î£ is a fixed metric Î³ onâ€¦ (More)