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1

On the volume functional of compact manifolds with boundary with constant scalar curvature

Pengzi Miao, Luen-Fai Tam

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 379 KB

english, 2009

2

On the capacity of surfaces in manifolds with nonnegative scalar curvature

Hubert Bray, Pengzi Miao

Journal:

Inventiones mathematicae

Year:

2008

Language:

english

File:

PDF, 296 KB

english, 2008

3

Deformation of scalar curvature and volume

Corvino, Justin, Eichmair, Michael, Miao, Pengzi

Journal:

Mathematische Annalen

Year:

2013

Language:

english

File:

PDF, 454 KB

english, 2013

4

A positive mass theorem for manifolds with boundary

Hirsch, Sven, Miao, Pengzi

Journal:

Pacific Journal of Mathematics

Year:

2020

File:

PDF, 351 KB

2020

5

On a Localized Riemannian Penrose Inequality

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 225 KB

english, 2009

6

On Geometric Problems Related to Brown-York and Liu-Yau Quasilocal Mass

Pengzi Miao, Yuguang Shi, Luen-Fai Tam

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 320 KB

english, 2010

7

Extension of a theorem of Shi and Tam

Michael Eichmair, Pengzi Miao, Xiaodong Wang

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 218 KB

english, 2012

8

On Second Variation of Wang–Yau Quasi-Local Energy

Pengzi Miao, Luen-Fai Tam

Journal:

Annales Henri Poincaré

Year:

2014

Language:

english

File:

PDF, 453 KB

english, 2014

9

Einstein and conformally flat critical metrics of the volume functional

Miao, Pengzi, Tam, Luen-Fai

Journal:

Transactions of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 661 KB

english, 2011

10

Some estimates of Wang–Yau quasilocal energy

Miao, Pengzi, Tam, Luen-Fai, Xie, Naqing

Journal:

Classical and Quantum Gravity

Year:

2009

Language:

english

File:

PDF, 258 KB

english, 2009

11

Isometric embeddings of 2-spheres into Schwarzschild manifolds

Cabrera Pacheco, Armando J., Miao, Pengzi

Journal:

manuscripta mathematica

Year:

2016

Language:

english

File:

PDF, 414 KB

english, 2016

12

Monotone quantities involving a weighted σ k integral along inverse curvature flows

Kwong, Kwok-Kun, Miao, Pengzi

Journal:

Communications in Contemporary Mathematics

Year:

2015

Language:

english

File:

PDF, 158 KB

english, 2015

13

Quasi-local mass via isometric embeddings: a review from a geometric perspective

Journal:

Classical and Quantum Gravity

Year:

2015

Language:

english

File:

PDF, 408 KB

english, 2015

14

Some functionals on compact manifolds with boundary

Miao, Pengzi, Tam, Luen-Fai

Journal:

Mathematische Zeitschrift

Year:

2016

Language:

english

File:

PDF, 471 KB

english, 2016

15

Total Mean Curvature, Scalar Curvature, and a Variational Analog of Brown–York Mass

Mantoulidis, Christos, Miao, Pengzi

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 492 KB

english, 2017

16

Quasi-Local Mass Integrals and the Total Mass

Pengzi Miao,Luen-Fai Tam,Naqing Xie

Journal:

Journal of Geometric Analysis

Year:

2017

Language:

english

File:

PDF, 627 KB

english, 2017

17

On a Penrose-Like Inequality in Dimensions Less than Eight

McCormick, Stephen, Miao, Pengzi

Journal:

International Mathematics Research Notices

Year:

2017

Language:

english

File:

PDF, 147 KB

english, 2017

18

Static potentials and area minimizing hypersurfaces

Huang, Lan-Hsuan, Martin, Daniel, Miao, Pengzi

Journal:

Proceedings of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 241 KB

english, 2018

19

On compact $3$-manifolds with nonnegative scalar curvature with a CMC boundary component

Miao, Pengzi, Xie, Naqing

Journal:

Transactions of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 300 KB

english, 2018

20

Capacity, quasi-local mass, and singular fill-ins

Mantoulidis, Christos, Miao, Pengzi, Tam, Luen-Fai

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2019

File:

PDF, 561 KB

2019

21

Measuring Mass via Coordinate Cubes

Journal:

Communications in Mathematical Physics

Year:

2020

File:

PDF, 280 KB

2020

22

Critical Points of Wang–Yau Quasi-Local Energy

Pengzi Miao, Luen-Fai Tam, Naqing Xie

Journal:

Annales Henri Poincaré

Year:

2011

Language:

english

File:

PDF, 426 KB

english, 2011

23

On Existence of Static Metric Extensions in General Relativity

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 248 KB

english, 2003

24

Static Potentials on Asymptotically Flat Manifolds

Miao, Pengzi, Tam, Luen-Fai

Journal:

Annales Henri Poincaré

Year:

2015

Language:

english

File:

PDF, 392 KB

english, 2015

25

PROOF OF THE RIGIDITY OF HYPERBOLIC SPACES USING QUASILOCAL MASS TYPE THEOREMS

Journal:

Journal of Hyperbolic Differential Equations

Year:

2005

Language:

english

File:

PDF, 162 KB

english, 2005

26

Extensions and fill-ins with non-negative scalar curvature

Jauregui, Jeffrey L, Miao, Pengzi, Tam, Luen-Fai

Journal:

Classical and Quantum Gravity

Year:

2013

Language:

english

File:

PDF, 185 KB

english, 2013

27

Asymptotically Flat and Scalar Flat Metrics on R3Admitting a Horizon

Journal:

Proceedings of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 437 KB

english, 2004

28

10.1090/s0002-9939-03-07029-1

Journal:

Proceedings of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 140 KB

english, 2004

29

Remarks on a scalar curvature rigidity theorem of Brendle and Marques

Cox, Graham, Miao, Pengzi, Tam, Luen-Fai

Journal:

Asian Journal of Mathematics

Year:

2013

Language:

english

File:

PDF, 155 KB

english, 2013

30

Evaluation of the ADM mass and center of mass via the Ricci tensor

Miao, Pengzi, Tam, Luen-Fai

Journal:

Proceedings of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 174 KB

english, 2015

31

Boundary effect of Ricci curvature

Miao, Pengzi, Wang, Xiaodong

Journal:

Journal Of Differential Geometry

Year:

2016

Language:

english

File:

PDF, 256 KB

english, 2016

32

Asymptotically flat extensions of CMC Bartnik data

Cabrera Pacheco, Armando J, Cederbaum, Carla, McCormick, Stephen, Miao, Pengzi

Journal:

Classical and Quantum Gravity

Year:

2017

Language:

english

File:

PDF, 1.02 MB

english, 2017

33

Minimizing energy among homotopic maps

Journal:

International Journal of Mathematics and Mathematical Sciences

Year:

2004

Language:

english

File:

PDF, 2.24 MB

english, 2004

34

Uniqueness of isometric immersions with the same mean curvature

Li, Chunhe, Miao, Pengzi, Wang, Zhizhang

Journal:

Journal of Functional Analysis

Year:

2018

Language:

english

File:

PDF, 1.01 MB

english, 2018

35

A new monotone quantity along the inverse mean curvature flow in ℝ n

Kwong, Kwok-Kun, Miao, Pengzi

Journal:

Pacific Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 302 KB

english, 2014

36

Bartnik mass via vacuum extensions

Miao, Pengzi, Xie, Naqing

Journal:

International Journal of Mathematics

Year:

2019

Language:

english

File:

PDF, 171 KB

english, 2019

37

Capacity, quasi-local mass, and singular fill-ins

Mantoulidis, Christos, Miao, Pengzi, Tam, Luen-Fai

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2019

Language:

english

File:

PDF, 561 KB

english, 2019

38

A remark on boundary effects in static vacuum initial data sets

Journal:

Classical and Quantum Gravity

Year:

2005

File:

PDF, 590 KB

2005