## Dahl, Mattias

Compute Distance To:
 Author ID: dahl.mattias Published as: Dahl, Mattias; Dahl, Matthias Homepage: https://www.kth.se/profile/dahl/ External Links: MGP · arXiv
 Documents Indexed: 27 Publications since 1996 Reviewing Activity: 2 Reviews Co-Authors: 12 Co-Authors with 22 Joint Publications 211 Co-Co-Authors
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### Co-Authors

 5 single-authored 11 Humbert, Emmanuel 8 Ammann, Bernd Eberhard 4 Gicquaud, Romain 3 Andersson, Lars Åke 3 Bär, Christian 3 Sakovich, Anna 1 Galloway, Gregory J. 1 Große, Nadine 1 Hermann, Andreas 1 Howard, Ralph E. 1 Larsson, Eric 1 Pollack, Daniel
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### Serials

 2 Proceedings of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 The Asian Journal of Mathematics 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Communications in Analysis and Geometry 1 Mathematical Research Letters 1 Annales Henri Poincaré 1 Pure and Applied Mathematics Quarterly 1 Journal of Topology and Analysis
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### Fields

 24 Differential geometry (53-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Manifolds and cell complexes (57-XX) 8 Relativity and gravitational theory (83-XX) 3 Partial differential equations (35-XX) 3 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 212 times in 166 Documents Cited by Year
Scalar curvature rigidity for asymptotically locally hyperbolic manifolds. Zbl 0946.53021
1998
Penrose type inequalities for asymptotically hyperbolic graphs. Zbl 1269.83068
Dahl, Mattias; Gicquaud, Romain; Sakovich, Anna
2013
Smooth Yamabe invariant and surgery. Zbl 1269.53037
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2013
A limit equation associated to the solvability of the vacuum Einstein constraint equations by using the conformal method. Zbl 1258.53037
Dahl, Mattias; Gicquaud, Romain; Humbert, Emmanuel
2012
Surgery and harmonic spinors. Zbl 1159.53021
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2009
Surgery and the spectrum of the Dirac operator. Zbl 1017.58019
Bär, Christian; Dahl, Mattias
2002
Boundary and lens rigidity of Lorentzian surfaces. Zbl 0860.53040
Andersson, Lars; Dahl, Mattias; Howard, Ralph
1996
Asymptotically hyperbolic manifolds with small mass. Zbl 1296.53064
Dahl, Mattias; Gicquaud, Romain; Sakovich, Anna
2014
On the space of metrics with invertible Dirac operator. Zbl 1144.53060
Dahl, Mattias
2008
Square-integrability of solutions of the Yamabe equation. Zbl 1296.53074
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2013
Low-dimensional surgery and the Yamabe invariant. Zbl 1320.53036
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2015
Harmonic spinors and local deformations of the metric. Zbl 1257.53077
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2011
The conformal Yamabe constant of product manifolds. Zbl 1264.53044
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2013
Prescribing eigenvalues of the Dirac operator. Zbl 1081.58021
Dahl, Mattias
2005
The first Dirac eigenvalues on manifolds with positive scalar curvature. Zbl 1053.58012
Bär, Christian; Dahl, Mattias
2004
Dirac eigenvalues for generic metrics on three-manifolds. Zbl 1035.53065
Dahl, Mattias
2003
Small eigenvalues of the conformal Laplacian. Zbl 1030.58003
Bär, Christian; Dahl, Matthias
2003
On the geometry and topology of initial data sets with horizons. Zbl 1402.53053
Andersson, Lars; Dahl, Mattias; Galloway, Gregory J.; Pollack, Daniel
2018
The positive mass theorem for ALE manifolds. Zbl 0890.53065
Dahl, Mattias
1997
Mass endomorphism, surgery and perturbations. (Endomorphisme de masse, chirurgie et perturbations.) Zbl 1320.53053
Ammann, Bernd; Dahl, Mattias; Hermann, Andreas; Humbert, Emmanuel
2014
Dependence on the spin structure of the eta and Rokhlin invariants. Zbl 1004.58014
Dahl, Mattias
2002
Surgery and the spinorial $$\tau$$-invariant. Zbl 1183.53041
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2009
Invertible Dirac operators and handle attachments on manifolds with boundary. Zbl 1298.53038
2014
On the geometry and topology of initial data sets with horizons. Zbl 1402.53053
Andersson, Lars; Dahl, Mattias; Galloway, Gregory J.; Pollack, Daniel
2018
Low-dimensional surgery and the Yamabe invariant. Zbl 1320.53036
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2015
Asymptotically hyperbolic manifolds with small mass. Zbl 1296.53064
Dahl, Mattias; Gicquaud, Romain; Sakovich, Anna
2014
Mass endomorphism, surgery and perturbations. (Endomorphisme de masse, chirurgie et perturbations.) Zbl 1320.53053
Ammann, Bernd; Dahl, Mattias; Hermann, Andreas; Humbert, Emmanuel
2014
Invertible Dirac operators and handle attachments on manifolds with boundary. Zbl 1298.53038
2014
Penrose type inequalities for asymptotically hyperbolic graphs. Zbl 1269.83068
Dahl, Mattias; Gicquaud, Romain; Sakovich, Anna
2013
Smooth Yamabe invariant and surgery. Zbl 1269.53037
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2013
Square-integrability of solutions of the Yamabe equation. Zbl 1296.53074
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2013
The conformal Yamabe constant of product manifolds. Zbl 1264.53044
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2013
A limit equation associated to the solvability of the vacuum Einstein constraint equations by using the conformal method. Zbl 1258.53037
Dahl, Mattias; Gicquaud, Romain; Humbert, Emmanuel
2012
Harmonic spinors and local deformations of the metric. Zbl 1257.53077
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2011
Surgery and harmonic spinors. Zbl 1159.53021
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2009
Surgery and the spinorial $$\tau$$-invariant. Zbl 1183.53041
Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel
2009
On the space of metrics with invertible Dirac operator. Zbl 1144.53060
Dahl, Mattias
2008
Prescribing eigenvalues of the Dirac operator. Zbl 1081.58021
Dahl, Mattias
2005
The first Dirac eigenvalues on manifolds with positive scalar curvature. Zbl 1053.58012
Bär, Christian; Dahl, Mattias
2004
Dirac eigenvalues for generic metrics on three-manifolds. Zbl 1035.53065
Dahl, Mattias
2003
Small eigenvalues of the conformal Laplacian. Zbl 1030.58003
Bär, Christian; Dahl, Matthias
2003
Surgery and the spectrum of the Dirac operator. Zbl 1017.58019
Bär, Christian; Dahl, Mattias
2002
Dependence on the spin structure of the eta and Rokhlin invariants. Zbl 1004.58014
Dahl, Mattias
2002
Scalar curvature rigidity for asymptotically locally hyperbolic manifolds. Zbl 0946.53021
1998
The positive mass theorem for ALE manifolds. Zbl 0890.53065
Dahl, Mattias
1997
Boundary and lens rigidity of Lorentzian surfaces. Zbl 0860.53040
Andersson, Lars; Dahl, Mattias; Howard, Ralph
1996
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### Cited by 175 Authors

 13 Ammann, Bernd Eberhard 10 Humbert, Emmanuel 7 Dahl, Mattias 7 Girão, Frederico 7 Lopes de Lima, Levi 7 Wu, Jie 6 Raulot, Simon 6 Shi, Yuguang 5 Akutagawa, Kazuo 5 Ge, Yuxin 5 Große, Nadine 5 Wang, Guofang 4 Cabrera Pacheco, Armando J. 4 Gicquaud, Romain 4 Hermann, Andreas 4 Woolgar, Eric 3 Alaee, Aghil 3 Chen, Yongfa 3 Herzlich, Marc 3 Hijazi, Oussama 3 Huneau, Cécile 3 Montiel, Sebastián 3 Petean, Jimmy 3 Premoselli, Bruno 3 Qing, Jie 3 Sakovich, Anna 3 Tam, Luen-Fai 3 Xia, Chao 3 Xie, Naqing 3 Yuan, Wei 2 Allen, Brian Michael 2 Arroja Neves, André 2 Brendle, Simon 2 Carron, Gilles 2 Cederbaum, Carla 2 Chruściel, Piotr Tadeusz 2 Fang, Fuquan 2 Galloway, Gregory J. 2 Ginoux, Nicolas 2 Henry, Guillermo 2 Holst, Michael J. 2 Huang, Lan-Hsuan 2 Jammes, Pierre 2 Li, Gang 2 Listing, Mario 2 Marques, Fernando Codá 2 Mazzeo, Rafe R. 2 Mccormick, Stephen Michael 2 Minerbe, Vincent 2 Moroianu, Andrei 2 Moroianu, Sergiu 2 Natário, José 2 Nowaczyk, Nikolai 2 Pinheiro, Neilha M. 2 Ruberman, Daniel 2 Wang, YaoHua 2 Xu, Tian 2 Yang, Yang 2 Zhang, Xiao 2 Zhang, Yuguang 1 de Moura Almaraz, Sérgio 1 Ambrozio, Lucas C. 1 Anderson, Michael T. 1 Andersson, Lars Åke 1 Anné, Colette 1 Avalos, Rodrigo 1 Balehowsky, Tracey 1 Barbosa, Ezequiel R. 1 Barrantes González, Héctor 1 Bavard, Christophe 1 Biquard, Olivier 1 Bohle, Christoph 1 Botvinnik, Boris I. 1 Boualem, Hassan 1 Burtscher, Annegret Y. 1 Canzani, Yaiza 1 Carlotto, Alessandro 1 Chai, Xiaoxiang 1 Chen, Daguang 1 Chodosh, Otis 1 Chuang, Wu-yen 1 Delay, Erwann 1 Dilts, James 1 Downes, Robert J. 1 Druet, Olivier 1 Enciso, Alberto 1 Engelhardt, Netta 1 Folkestad, Åsmund 1 Goette, Sebastian 1 Grosjean, Jean-François 1 Gutiérrez, Manuel 1 Ho, Pak Tung 1 Hu, Xue 1 Hung, Pei-Ken 1 Jang, Hyunchul 1 Julio-Batalla, Jurgen 1 Kachru, Shamit 1 Kim, Changwan 1 Kwong, Kwok-Kun 1 Labbi, Mohammed-Larbi ...and 75 more Authors
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### Cited in 48 Serials

 18 Communications in Mathematical Physics 10 Journal of Geometry and Physics 10 Calculus of Variations and Partial Differential Equations 9 Transactions of the American Mathematical Society 9 The Journal of Geometric Analysis 9 Annales Henri Poincaré 8 Annals of Global Analysis and Geometry 7 Advances in Mathematics 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 5 Journal of Mathematical Physics 5 Mathematische Annalen 5 Differential Geometry and its Applications 4 Classical and Quantum Gravity 4 General Relativity and Gravitation 4 Letters in Mathematical Physics 4 Manuscripta Mathematica 4 Journal of High Energy Physics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales de l’Institut Fourier 2 International Journal of Mathematics 2 Geometry & Topology 2 Frontiers of Mathematics in China 2 Journal of Topology and Analysis 1 Communications on Pure and Applied Mathematics 1 Reviews in Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Tôhoku Mathematical Journal. Second Series 1 Asymptotic Analysis 1 Science in China. Series A 1 Sugaku Expositions 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Conformal Geometry and Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Living Reviews in Relativity 1 Advances in Geometry 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Journal of Fixed Point Theory and Applications 1 Science China. Mathematics
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### Cited in 23 Fields

 149 Differential geometry (53-XX) 60 Relativity and gravitational theory (83-XX) 53 Global analysis, analysis on manifolds (58-XX) 32 Partial differential equations (35-XX) 19 Manifolds and cell complexes (57-XX) 8 Quantum theory (81-XX) 4 Ordinary differential equations (34-XX) 4 General topology (54-XX) 4 Mechanics of particles and systems (70-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Astronomy and astrophysics (85-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 $$K$$-theory (19-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)