## Eichmair, Michael

Compute Distance To:
 Author ID: eichmair.michael Published as: Eichmair, Michael; Eichmair, M. Homepage: https://medienportal.univie.ac.at/uniview/professuren/cv/artikel/univ-prof-dr-mi... External Links: MGP · ORCID
 Documents Indexed: 26 Publications since 2009 Co-Authors: 29 Co-Authors with 22 Joint Publications 653 Co-Co-Authors
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### Co-Authors

 4 single-authored 7 Chodosh, Otis 5 Metzger, Jan 3 Brendle, Simon 2 Bray, Hubert L. 2 Galloway, Gregory J. 2 Huang, Lan-Hsuan 2 Miao, Pengzi 2 Shi, Yuguang 1 Andersson, Lars Åke 1 Arroja Neves, André 1 Carlotto, Alessandro 1 Corvino, Justin 1 Fraser, Ailana M. 1 Körber, Thomas 1 Kusner, Rob 1 Lee, Dan Archibald 1 Marques, Fernando Codá 1 Mendes, Abraão 1 Mese, Chikako 1 Minicozzi, William Philip II 1 Moraru, Vlad 1 Pollack, Daniel 1 Schoen, Richard Melvin 1 Uhlenbeck, Karen Keskulla 1 Volkmann, Alexander 1 Wang, Xiaodong 1 Yau, Shing-Tung 1 Yu, Haobin 1 Zhu, Jintian
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### Serials

 7 Journal of Differential Geometry 5 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Inventiones Mathematicae 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Notices of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Journal of the European Mathematical Society (JEMS)

### Fields

 26 Differential geometry (53-XX) 6 Relativity and gravitational theory (83-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 286 times in 159 Documents Cited by Year
Jang’s equation and its applications to marginally trapped surfaces. Zbl 1235.53019
Andersson, Lars; Eichmair, Michael; Metzger, Jan
2011
Effective versions of the positive mass theorem. Zbl 1354.53071
Carlotto, Alessandro; Chodosh, Otis; Eichmair, Michael
2016
Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions. Zbl 1297.49078
Eichmair, Michael; Metzger, Jan
2013
Deformation of scalar curvature and volume. Zbl 1278.53041
Corvino, Justin; Eichmair, Michael; Miao, Pengzi
2013
The Plateau problem for marginally outer trapped surfaces. Zbl 1197.53075
Eichmair, Michael
2009
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
2016
Area-minimizing projective planes in 3-manifolds. Zbl 1200.53053
Bray, H.; Brendle, S.; Eichmair, M.; Neves, A.
2010
Isoperimetric and Weingarten surfaces in the Schwarzschild manifold. Zbl 1282.53053
Brendle, Simon; Eichmair, Michael
2013
Large isoperimetric surfaces in initial data sets. Zbl 1269.53071
Eichmair, Michael; Metzger, Jan
2013
On large volume preserving stable CMC surfaces in initial data sets. Zbl 1278.53062
Eichmair, Michael; Metzger, Jan
2012
Large outlying stable constant mean curvature spheres in initial data sets. Zbl 1302.53037
Brendle, Simon; Eichmair, Michael
2014
Existence, regularity, and properties of generalized apparent horizons. Zbl 1215.53023
Eichmair, Michael
2010
The Jang equation reduction of the spacetime positive energy theorem in dimensions less than eight. Zbl 1269.53070
Eichmair, Michael
2013
Topological censorship from the initial data point of view. Zbl 1279.83027
Eichmair, Michael; Galloway, Gregory J.; Pollack, Daniel
2013
Jenkins-Serrin-type results for the Jang equation. Zbl 1338.53089
Eichmair, Michael; Metzger, Jan
2016
The size of isoperimetric surfaces in 3-manifolds and a rigidity result for the upper hemisphere. Zbl 1187.53038
Eichmair, Michael
2009
Extension of a theorem of Shi and Tam. Zbl 1238.53025
Eichmair, Michael; Miao, Pengzi; Wang, Xiaodong
2012
Isoperimetric structure of asymptotically conical manifolds. Zbl 1364.53035
Chodosh, Otis; Eichmair, Michael; Volkmann, Alexander
2017
A splitting theorem for scalar curvature. Zbl 1422.53027
Chodosh, Otis; Eichmair, Michael; Moraru, Vlad
2019
On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds. Zbl 1455.53060
Chodosh, Otis; Eichmair, Michael
2020
Isoperimetry, scalar curvature, and mass in asymptotically flat Riemannian 3-manifolds. Zbl 1470.53036
Chodosh, Otis; Eichmair, Michael; Shi, Yuguang; Yu, Haobin
2021
Initial data rigidity results. Zbl 1481.53047
Eichmair, Michael; Galloway, Gregory J.; Mendes, Abraão
2021
Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian $$3$$-manifolds. Zbl 07467780
Chodosh, Otis; Eichmair, Michael
2022
Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian $$3$$-manifolds. Zbl 07467780
Chodosh, Otis; Eichmair, Michael
2022
Isoperimetry, scalar curvature, and mass in asymptotically flat Riemannian 3-manifolds. Zbl 1470.53036
Chodosh, Otis; Eichmair, Michael; Shi, Yuguang; Yu, Haobin
2021
Initial data rigidity results. Zbl 1481.53047
Eichmair, Michael; Galloway, Gregory J.; Mendes, Abraão
2021
On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds. Zbl 1455.53060
Chodosh, Otis; Eichmair, Michael
2020
A splitting theorem for scalar curvature. Zbl 1422.53027
Chodosh, Otis; Eichmair, Michael; Moraru, Vlad
2019
Isoperimetric structure of asymptotically conical manifolds. Zbl 1364.53035
Chodosh, Otis; Eichmair, Michael; Volkmann, Alexander
2017
Effective versions of the positive mass theorem. Zbl 1354.53071
Carlotto, Alessandro; Chodosh, Otis; Eichmair, Michael
2016
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
2016
Jenkins-Serrin-type results for the Jang equation. Zbl 1338.53089
Eichmair, Michael; Metzger, Jan
2016
Large outlying stable constant mean curvature spheres in initial data sets. Zbl 1302.53037
Brendle, Simon; Eichmair, Michael
2014
Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions. Zbl 1297.49078
Eichmair, Michael; Metzger, Jan
2013
Deformation of scalar curvature and volume. Zbl 1278.53041
Corvino, Justin; Eichmair, Michael; Miao, Pengzi
2013
Isoperimetric and Weingarten surfaces in the Schwarzschild manifold. Zbl 1282.53053
Brendle, Simon; Eichmair, Michael
2013
Large isoperimetric surfaces in initial data sets. Zbl 1269.53071
Eichmair, Michael; Metzger, Jan
2013
The Jang equation reduction of the spacetime positive energy theorem in dimensions less than eight. Zbl 1269.53070
Eichmair, Michael
2013
Topological censorship from the initial data point of view. Zbl 1279.83027
Eichmair, Michael; Galloway, Gregory J.; Pollack, Daniel
2013
On large volume preserving stable CMC surfaces in initial data sets. Zbl 1278.53062
Eichmair, Michael; Metzger, Jan
2012
Extension of a theorem of Shi and Tam. Zbl 1238.53025
Eichmair, Michael; Miao, Pengzi; Wang, Xiaodong
2012
Jang’s equation and its applications to marginally trapped surfaces. Zbl 1235.53019
Andersson, Lars; Eichmair, Michael; Metzger, Jan
2011
Area-minimizing projective planes in 3-manifolds. Zbl 1200.53053
Bray, H.; Brendle, S.; Eichmair, M.; Neves, A.
2010
Existence, regularity, and properties of generalized apparent horizons. Zbl 1215.53023
Eichmair, Michael
2010
The Plateau problem for marginally outer trapped surfaces. Zbl 1197.53075
Eichmair, Michael
2009
The size of isoperimetric surfaces in 3-manifolds and a rigidity result for the upper hemisphere. Zbl 1187.53038
Eichmair, Michael
2009
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### Cited by 186 Authors

 11 Eichmair, Michael 10 Galloway, Gregory J. 9 Ribeiro, Ernani jun. 8 Chodosh, Otis 7 Diógenes, Rafael 6 Baltazar, Halyson I. 6 Brendle, Simon 6 Carlotto, Alessandro 5 Khuri, Marcus A. 5 Lee, Dan Archibald 4 Huang, Lan-Hsuan 4 Miao, Pengzi 3 Alaee, Aghil 3 Cederbaum, Carla 3 Chruściel, Piotr Tadeusz 3 de Lira, Jorge Herbert Soares 3 Ketover, Daniel 3 Kim, Jongsu 3 Mendes, Abraão 3 Montezuma, Rafael 3 Nerz, Christopher 3 Sakovich, Anna 3 Shi, Yuguang 3 Xie, Naqing 3 Yau, Shing-Tung 3 Yuan, Wei 3 Zhu, Jintian 2 Arroja Neves, André 2 Avalos, Rodrigo 2 Bryden, Edward T. 2 Corvino, Justin 2 Fogagnolo, Mattia 2 Gadelha, Tiago 2 Gama, Eddygledson S. 2 Han, Qing 2 Heinonen, Esko 2 Jauregui, Jeffrey L. 2 Körber, Thomas 2 Lin, Yueh-Ju 2 Ma, Shiguang 2 Marques, Fernando Codá 2 Máximo, Davi 2 Mazzieri, Lorenzo 2 Metzger, Jan 2 Pollack, Daniel 2 Raulot, Simon 2 Schoen, Richard Melvin 2 Sormani, Christina 2 Wang, Mu-Tao 2 Wang, Wenlong 2 Wu, Jie 2 Xiao, Jie 2 Zhou, Hengyu 1 Abedin, Farhan 1 Agostiniani, Virginia 1 Alencar, Hilário 1 Allen, Brian Michael 1 Ambrozio, Lucas C. 1 An, Xinliang 1 Anciaux, Henri 1 Anderson, Michael T. 1 Andersson, Lars Åke 1 Antonelli, Gioacchino 1 Baker, Kenneth L. 1 Bamler, Richard H. 1 Barbosa, Ezequiel R. 1 Barros, Abdênago A. 1 Batista, Márcio 1 Bellettini, Costante 1 Borghini, Stefano 1 Bruè, Elia 1 Bueno, Antonio 1 Burkhart, Madeleine 1 Cabrera Pacheco, Armando J. 1 Case, Jeffrey S. 1 Cavalletti, Fabio 1 Chen, PoNing 1 Cheng, Liang 1 Cipriani, Nastassja 1 Coley, Alan Albert 1 Cortier, Julien 1 Costa, João Lopes 1 Coutinho, Fernando 1 Dafermos, Mihalis 1 Dajczer, Marcos 1 Daszuta, Boris 1 Dos Santos, Fábio Reis 1 Engelhardt, Netta 1 Espinar, José María 1 Fall, Mouhammed Moustapha 1 Fang, Hao 1 Fang, Yi 1 de Lima, Henrique F. 1 Folkestad, Åsmund 1 Franz, Giada 1 Frauendiener, Jörg 1 Gálvez, Jose Antonio 1 Gao, Dong 1 Gao, Qiang 1 Gao, Shanze ...and 86 more Authors
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### Cited in 59 Serials

 16 Communications in Mathematical Physics 13 The Journal of Geometric Analysis 10 Calculus of Variations and Partial Differential Equations 9 Proceedings of the American Mathematical Society 8 Inventiones Mathematicae 7 Advances in Mathematics 6 Transactions of the American Mathematical Society 5 Classical and Quantum Gravity 5 Pacific Journal of Mathematics 4 Mathematische Annalen 4 Annales Henri Poincaré 3 General Relativity and Gravitation 3 Journal of Mathematical Physics 3 Duke Mathematical Journal 3 Annals of Global Analysis and Geometry 3 Revista Matemática Iberoamericana 3 Living Reviews in Relativity 2 Journal of Geometry and Physics 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 Communications in Contemporary Mathematics 2 Journal of High Energy Physics 2 Science China. Mathematics 1 International Journal of Modern Physics A 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. B 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of the Korean Mathematical Society 1 Numerische Mathematik 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Advances in Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Annals of PDE 1 Complex Manifolds
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### Cited in 18 Fields

 137 Differential geometry (53-XX) 56 Relativity and gravitational theory (83-XX) 31 Global analysis, analysis on manifolds (58-XX) 16 Partial differential equations (35-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)