## Miao, Pengzi

Compute Distance To:
 Author ID: miao.pengzi Published as: Miao, Pengzi External Links: MGP
 Documents Indexed: 53 Publications since 2003 Co-Authors: 25 Co-Authors with 40 Joint Publications 242 Co-Co-Authors
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### Co-Authors

 13 single-authored 14 Tam, Luen-Fai 6 Xie, Naqing 3 Cabrera Pacheco, Armando J. 3 Kwong, Kwok-Kun 3 Lu, Siyuan 3 Mantoulidis, Christos 3 Mccormick, Stephen Michael 2 Eichmair, Michael 2 Wang, Xiaodong 1 Bonini, Vincent 1 Bray, Hubert L. 1 Cederbaum, Carla 1 Corvino, Justin 1 Cox, Graham 1 Galloway, Gregory J. 1 Hirsch, Sven 1 Huang, Lan-Hsuan 1 Jauregui, Jeffrey L. 1 Li, Chunhe 1 Martin, Daniel 1 Piubello, Annachiara 1 Qing, Jie 1 Shi, Yuguang 1 Wang, YaoHua 1 Wang, Zhizhang
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### Serials

 5 Classical and Quantum Gravity 5 Communications in Mathematical Physics 4 Proceedings of the American Mathematical Society 3 Communications in Analysis and Geometry 3 Mathematical Research Letters 3 Annales Henri Poincaré 2 Journal of Differential Geometry 2 Journal of Functional Analysis 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Calculus of Variations and Partial Differential Equations 2 The Asian Journal of Mathematics 1 Advances in Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Advances in Theoretical and Mathematical Physics 1 Communications in Contemporary Mathematics 1 Journal of Hyperbolic Differential Equations 1 Pure and Applied Mathematics Quarterly
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### Fields

 50 Differential geometry (53-XX) 22 Relativity and gravitational theory (83-XX) 8 Global analysis, analysis on manifolds (58-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 326 times in 178 Documents Cited by Year
On the volume functional of compact manifolds with boundary with constant scalar curvature. Zbl 1175.49043
Miao, Pengzi; Tam, Luen-Fai
2009
Einstein and conformally flat critical metrics of the volume functional. Zbl 1222.53041
Miao, Pengzi; Tam, Luen-Fai
2011
Deformation of scalar curvature and volume. Zbl 1278.53041
Corvino, Justin; Eichmair, Michael; Miao, Pengzi
2013
On the capacity of surfaces in manifolds with nonnegative scalar curvature. Zbl 1141.53059
Bray, Hubert; Miao, Pengzi
2008
Evaluation of the ADM mass and center of mass via the Ricci tensor. Zbl 1335.83012
Miao, Pengzi; Tam, Luen-Fai
2016
On existence of static metric extensions in general relativity. Zbl 1149.83311
Miao, Pengzi
2003
Total mean curvature, scalar curvature, and a variational analog of Brown-York mass. Zbl 1375.58017
Mantoulidis, Christos; Miao, Pengzi
2017
On geometric problems related to Brown-York and Liu-Yau quasilocal mass. Zbl 1200.58018
Miao, Pengzi; Shi, Yuguang; Tam, Luen-Fai
2010
On a localized Riemannian Penrose inequality. Zbl 1182.53064
Miao, Pengzi
2009
A remark on boundary effects in static vacuum initial data sets. Zbl 1071.83007
Miao, Pengzi
2005
Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature. Zbl 1429.53077
Lu, Siyuan; Miao, Pengzi
2019
On a Penrose-like inequality in dimensions less than eight. Zbl 1429.53055
McCormick, Stephen; Miao, Pengzi
2019
Asymptotically flat extensions of CMC Bartnik data. Zbl 1369.83019
Cabrera Pacheco, Armando J.; Cederbaum, Carla; McCormick, Stephen; Miao, Pengzi
2017
Static potentials on asymptotically flat manifolds. Zbl 1326.83052
Miao, Pengzi; Tam, Luen-Fai
2015
Critical points of Wang-Yau quasi-local energy. Zbl 1216.83014
Miao, Pengzi; Tam, Luen-Fai; Xie, Naqing
2011
Variational and rigidity properties of static potentials. Zbl 1380.53082
Galloway, Gregory J.; Miao, Pengzi
2017
A new monotone quantity along the inverse mean curvature flow in $$\mathbb R^n$$. Zbl 1295.53074
Kwong, Kwok-Kun; Miao, Pengzi
2014
Higher dimensional black hole initial data with prescribed boundary metric. Zbl 1401.83014
Cabrera Pacheco, Armando J.; Miao, Pengzi
2018
On compact $$3$$-manifolds with nonnegative scalar curvature with a CMC boundary component. Zbl 1392.53055
Miao, Pengzi; Xie, Naqing
2018
Boundary effect of Ricci curvature. Zbl 1341.53064
Miao, Pengzi; Wang, Xiaodong
2016
Quasi-local mass integrals and the total mass. Zbl 1373.83038
Miao, Pengzi; Tam, Luen-Fai; Xie, Naqing
2017
Ricci curvature rigidity for weakly asymptotically hyperbolic manifolds. Zbl 1116.53029
Bonini, Vincent; Miao, Pengzi; Qing, Jie
2006
Extensions and fill-ins with non-negative scalar curvature. Zbl 1277.83036
Jauregui, Jeffrey L.; Miao, Pengzi; Tam, Luen-Fai
2013
Asymptotically flat and scalar flat metrics on $$\mathbb{R} ^3$$ admitting a horizon. Zbl 1046.53054
Miao, Pengzi
2004
Capacity, quasi-local mass, and singular fill-ins. Zbl 1452.53037
Mantoulidis, Christos; Miao, Pengzi; Tam, Luen-Fai
2020
Extension of a theorem of Shi and Tam. Zbl 1238.53025
Eichmair, Michael; Miao, Pengzi; Wang, Xiaodong
2012
Scalar curvature rigidity with a volume constraint. Zbl 1250.53041
Miao, Pengzi; Tam, Luen-Fai
2012
Uniqueness of isometric immersions with the same mean curvature. Zbl 1431.53055
Li, Chunhe; Miao, Pengzi; Wang, Zhizhang
2019
Static potentials and area minimizing hypersurfaces. Zbl 1387.53045
Huang, Lan-Hsuan; Martin, Daniel; Miao, Pengzi
2018
Mean curvature deficit and a quasi-local mass. Zbl 1380.83082
Mantoulidis, Christos; Miao, Pengzi
2017
On second variation of Wang-Yau quasi-local energy. Zbl 1295.83016
Miao, Pengzi; Tam, Luen-Fai
2014
Remarks on a scalar curvature rigidity theorem of Brendle and Marques. Zbl 1278.53039
Cox, Graham; Miao, Pengzi; Tam, Luen-Fai
2013
Some estimates of Wang-Yau quasilocal energy. Zbl 1181.83070
Miao, Pengzi; Tam, Luen-Fai; Xie, Naqing
2009
A positive mass theorem for manifolds with boundary. Zbl 1441.53028
Hirsch, Sven; Miao, Pengzi
2020
Measuring mass via coordinate cubes. Zbl 1471.58011
Miao, Pengzi
2020
Quasi-local mass via isometric embeddings: a review from a geometric perspective. Zbl 1329.83003
Miao, Pengzi
2015
Bartnik mass via vacuum extensions. Zbl 1430.53045
Miao, Pengzi; Xie, Naqing
2019
On Hawking mass and Bartnik mass of CMC surfaces. Zbl 1464.53084
Miao, Pengzi; Wang, Yaohua; Xie, Naqing
2020
Nonexistence of NNSC fill-ins with large mean curvature. Zbl 1465.53050
Miao, Pengzi
2021
A note on existence and non-existence of horizons in some asymptotically flat 3-manifolds. Zbl 1130.53050
Miao, Pengzi
2007
Nonexistence of NNSC fill-ins with large mean curvature. Zbl 1465.53050
Miao, Pengzi
2021
Capacity, quasi-local mass, and singular fill-ins. Zbl 1452.53037
Mantoulidis, Christos; Miao, Pengzi; Tam, Luen-Fai
2020
A positive mass theorem for manifolds with boundary. Zbl 1441.53028
Hirsch, Sven; Miao, Pengzi
2020
Measuring mass via coordinate cubes. Zbl 1471.58011
Miao, Pengzi
2020
On Hawking mass and Bartnik mass of CMC surfaces. Zbl 1464.53084
Miao, Pengzi; Wang, Yaohua; Xie, Naqing
2020
Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature. Zbl 1429.53077
Lu, Siyuan; Miao, Pengzi
2019
On a Penrose-like inequality in dimensions less than eight. Zbl 1429.53055
McCormick, Stephen; Miao, Pengzi
2019
Uniqueness of isometric immersions with the same mean curvature. Zbl 1431.53055
Li, Chunhe; Miao, Pengzi; Wang, Zhizhang
2019
Bartnik mass via vacuum extensions. Zbl 1430.53045
Miao, Pengzi; Xie, Naqing
2019
Higher dimensional black hole initial data with prescribed boundary metric. Zbl 1401.83014
Cabrera Pacheco, Armando J.; Miao, Pengzi
2018
On compact $$3$$-manifolds with nonnegative scalar curvature with a CMC boundary component. Zbl 1392.53055
Miao, Pengzi; Xie, Naqing
2018
Static potentials and area minimizing hypersurfaces. Zbl 1387.53045
Huang, Lan-Hsuan; Martin, Daniel; Miao, Pengzi
2018
Total mean curvature, scalar curvature, and a variational analog of Brown-York mass. Zbl 1375.58017
Mantoulidis, Christos; Miao, Pengzi
2017
Asymptotically flat extensions of CMC Bartnik data. Zbl 1369.83019
Cabrera Pacheco, Armando J.; Cederbaum, Carla; McCormick, Stephen; Miao, Pengzi
2017
Variational and rigidity properties of static potentials. Zbl 1380.53082
Galloway, Gregory J.; Miao, Pengzi
2017
Quasi-local mass integrals and the total mass. Zbl 1373.83038
Miao, Pengzi; Tam, Luen-Fai; Xie, Naqing
2017
Mean curvature deficit and a quasi-local mass. Zbl 1380.83082
Mantoulidis, Christos; Miao, Pengzi
2017
Evaluation of the ADM mass and center of mass via the Ricci tensor. Zbl 1335.83012
Miao, Pengzi; Tam, Luen-Fai
2016
Boundary effect of Ricci curvature. Zbl 1341.53064
Miao, Pengzi; Wang, Xiaodong
2016
Static potentials on asymptotically flat manifolds. Zbl 1326.83052
Miao, Pengzi; Tam, Luen-Fai
2015
Quasi-local mass via isometric embeddings: a review from a geometric perspective. Zbl 1329.83003
Miao, Pengzi
2015
A new monotone quantity along the inverse mean curvature flow in $$\mathbb R^n$$. Zbl 1295.53074
Kwong, Kwok-Kun; Miao, Pengzi
2014
On second variation of Wang-Yau quasi-local energy. Zbl 1295.83016
Miao, Pengzi; Tam, Luen-Fai
2014
Deformation of scalar curvature and volume. Zbl 1278.53041
Corvino, Justin; Eichmair, Michael; Miao, Pengzi
2013
Extensions and fill-ins with non-negative scalar curvature. Zbl 1277.83036
Jauregui, Jeffrey L.; Miao, Pengzi; Tam, Luen-Fai
2013
Remarks on a scalar curvature rigidity theorem of Brendle and Marques. Zbl 1278.53039
Cox, Graham; Miao, Pengzi; Tam, Luen-Fai
2013
Extension of a theorem of Shi and Tam. Zbl 1238.53025
Eichmair, Michael; Miao, Pengzi; Wang, Xiaodong
2012
Scalar curvature rigidity with a volume constraint. Zbl 1250.53041
Miao, Pengzi; Tam, Luen-Fai
2012
Einstein and conformally flat critical metrics of the volume functional. Zbl 1222.53041
Miao, Pengzi; Tam, Luen-Fai
2011
Critical points of Wang-Yau quasi-local energy. Zbl 1216.83014
Miao, Pengzi; Tam, Luen-Fai; Xie, Naqing
2011
On geometric problems related to Brown-York and Liu-Yau quasilocal mass. Zbl 1200.58018
Miao, Pengzi; Shi, Yuguang; Tam, Luen-Fai
2010
On the volume functional of compact manifolds with boundary with constant scalar curvature. Zbl 1175.49043
Miao, Pengzi; Tam, Luen-Fai
2009
On a localized Riemannian Penrose inequality. Zbl 1182.53064
Miao, Pengzi
2009
Some estimates of Wang-Yau quasilocal energy. Zbl 1181.83070
Miao, Pengzi; Tam, Luen-Fai; Xie, Naqing
2009
On the capacity of surfaces in manifolds with nonnegative scalar curvature. Zbl 1141.53059
Bray, Hubert; Miao, Pengzi
2008
A note on existence and non-existence of horizons in some asymptotically flat 3-manifolds. Zbl 1130.53050
Miao, Pengzi
2007
Ricci curvature rigidity for weakly asymptotically hyperbolic manifolds. Zbl 1116.53029
Bonini, Vincent; Miao, Pengzi; Qing, Jie
2006
A remark on boundary effects in static vacuum initial data sets. Zbl 1071.83007
Miao, Pengzi
2005
Asymptotically flat and scalar flat metrics on $$\mathbb{R} ^3$$ admitting a horizon. Zbl 1046.53054
Miao, Pengzi
2004
On existence of static metric extensions in general relativity. Zbl 1149.83311
Miao, Pengzi
2003
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### Cited by 158 Authors

 21 Miao, Pengzi 12 Shi, Yuguang 12 Tam, Luen-Fai 9 Ribeiro, Ernani jun. 8 Baltazar, Halyson I. 7 Diógenes, Rafael 7 Mccormick, Stephen Michael 5 Chen, PoNing 5 Wang, Mu-Tao 5 Xiao, Jie 5 Xie, Naqing 5 Yau, Shing-Tung 5 Yuan, Wei 4 Anderson, Michael T. 4 Corvino, Justin 4 Jauregui, Jeffrey L. 4 Khuri, Marcus A. 4 Mantoulidis, Christos 4 Qing, Jie 4 Raulot, Simon 3 Agostiniani, Virginia 3 An, Zhongshan 3 Cabrera Pacheco, Armando J. 3 Case, Jeffrey S. 3 Cederbaum, Carla 3 Eichmair, Michael 3 Hu, Xue 3 Huang, Lan-Hsuan 3 Kim, Jongsu 3 Mazzieri, Lorenzo 3 Wang, Wenlong 2 Alaee, Aghil 2 Bray, Hubert L. 2 Carlotto, Alessandro 2 Chen, Xiaomin 2 Chodosh, Otis 2 Gadelha, Tiago 2 Galloway, Gregory J. 2 Ghosh, Amalendu 2 Hijazi, Oussama 2 Kim, Daehwan 2 Kwong, Kwok-Kun 2 Lee, Dan Archibald 2 Li, Chao 2 Lin, Yueh-Ju 2 Majhi, Pradip 2 Montiel, Sebastián 2 Nerz, Christopher 2 Patra, Dhriti Sundar 2 Pollack, Daniel 2 Pyo, Juncheol 2 Scheuer, Julian 2 Schwartz, Fernando 2 Szabados, László B. 2 Wang, Guofang 2 Wang, Qizhi 2 Wang, Xiaodong 2 Wei, Guodong 2 Woolgar, Eric 2 Wu, Jie 2 Wu, Peng 2 Xia, Chao 2 Yin, Jiabin 1 Abedin, Farhan 1 de Moura Almaraz, Sérgio 1 Argota-Quiroz, J. N. 1 Arroja Neves, André 1 Avalos, Rodrigo 1 Barros, Abdênago A. 1 Bernal, Antonio N. 1 Biswas, Gour Gopal 1 Blaga, Adara-Monica 1 Bo, Leyang 1 Bonini, Vincent 1 Brendle, Simon 1 Burkhart, Madeleine 1 Chai, Xiaoxiang 1 Chruściel, Piotr Tadeusz 1 Coutinho, Fernando 1 Cruz, Tiarlos 1 Czimek, Stefan 1 Dahl, Mattias 1 Daszuta, Boris 1 Dey, Dibakar 1 Dutta, Satyaki 1 Espinar, José María 1 Fang, Yi 1 de Lima, Henrique F. 1 Fogagnolo, Mattia 1 Frauendiener, Jörg 1 Freire, Alexandre 1 Freitas, Allan G. 1 Ge, Yuxin 1 Gicquaud, Romain 1 Gromov, Mikhael Leonidovich 1 Gruber, Anthony 1 He, Xiaokai 1 Herzlich, Marc 1 Hu, Yingxiang 1 Huang, Guangyue ...and 58 more Authors
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### Cited in 56 Serials

 16 Communications in Mathematical Physics 13 Proceedings of the American Mathematical Society 13 The Journal of Geometric Analysis 12 Calculus of Variations and Partial Differential Equations 12 Annales Henri Poincaré 9 Classical and Quantum Gravity 7 Journal of Geometry and Physics 7 Transactions of the American Mathematical Society 5 Mathematische Annalen 4 General Relativity and Gravitation 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 Pacific Journal of Mathematics 3 Journal of Functional Analysis 3 Annals of Global Analysis and Geometry 3 Differential Geometry and its Applications 3 Communications in Contemporary Mathematics 3 Living Reviews in Relativity 2 Journal of Mathematical Analysis and Applications 2 Inventiones Mathematicae 2 Journal of Geometry 2 Journal of the Korean Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 International Journal of Mathematics 2 Communications in Partial Differential Equations 2 Journal of High Energy Physics 2 Advances in Geometry 2 Central European Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Science China. Mathematics 1 Modern Physics Letters A 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Geometriae Dedicata 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Bulletin of the American Mathematical Society. New Series 1 Filomat 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Balkan Journal of Geometry and its Applications (BJGA) 1 DGDS. Differential Geometry – Dynamical Systems 1 Frontiers of Mathematics in China 1 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Analysis and Mathematical Physics 1 Palestine Journal of Mathematics 1 Annals of PDE
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### Cited in 18 Fields

 160 Differential geometry (53-XX) 72 Relativity and gravitational theory (83-XX) 36 Global analysis, analysis on manifolds (58-XX) 15 Partial differential equations (35-XX) 8 Potential theory (31-XX) 7 Mechanics of particles and systems (70-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)