Edit Profile (opens in new tab) Humbert, Emmanuel Co-Author Distance Author ID: humbert.emmanuel Published as: Humbert, Emmanuel; Humbert, E. Documents Indexed: 45 Publications since 2000, including 1 Book and 7 Additional arXiv Preprints Co-Authors: 15 Co-Authors with 37 Joint Publications 355 Co-Co-Authors all top 5 Co-Authors 8 single-authored 18 Ammann, Bernd Eberhard 11 Dahl, Mattias 5 Privat, Yannick 5 Trélat, Emmanuel 4 Hermann, Andreas 4 Morel, Bertrand 2 Gicquaud, Romain 2 Grosjean, Jean-François 2 Vaugon, Michel 1 Hébrard, Pascal 1 Holcman, David 1 Molinet, Luc 1 Nazaret, Bruno 1 Ould Ahmedou, Mohameden 1 Raulot, Simon all top 5 Serials 3 Journal of Geometry and Physics 2 Advances in Mathematics 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Communications in Partial Differential Equations 2 Communications in Analysis and Geometry 2 Calculus of Variations and Partial Differential Equations 1 Classical and Quantum Gravity 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Annals of Global Analysis and Geometry 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Research Letters 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Geometric Methods in Modern Physics 1 Journal de l’École Polytechnique – Mathématiques 1 Références Sciences all top 5 Fields 33 Differential geometry (53-XX) 18 Global analysis, analysis on manifolds (58-XX) 12 Partial differential equations (35-XX) 8 Manifolds and cell complexes (57-XX) 6 Functional analysis (46-XX) 5 Relativity and gravitational theory (83-XX) 4 Algebraic topology (55-XX) 3 Real functions (26-XX) 3 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 255 times in 169 Documents Cited by ▼ Year ▼ The second Yamabe invariant. Zbl 1142.53026 Ammann, B.; Humbert, E. 25 2006 A spinorial analogue of Aubin’s inequality. Zbl 1145.53039 Ammann, B.; Grosjean, J.-F.; Humbert, E.; Morel, B. 25 2008 Smooth Yamabe invariant and surgery. Zbl 1269.53037 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 24 2013 Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds. Zbl 1126.53024 Ammann, Bernd; Humbert, Emmanuel; Morel, Bertrand 23 2006 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 20 2012 Surgery and harmonic spinors. Zbl 1159.53021 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 16 2009 Positive mass theorem for the Paneitz-Branson operator. Zbl 1180.53040 Humbert, Emmanuel; Raulot, Simon 13 2009 Best constants in the \(L^2\)-Nash inequality. Zbl 1040.53048 Humbert, Emmanuel 12 2001 An obstruction for the mean curvature of a conformal immersion \(S^n\to \mathbb{R}^{n+1}\). Zbl 1106.53035 Ammann, Bernd; Humbert, Emmanuel; Ahmedou, Mohameden Ould 11 2007 Positive mass theorem for the Yamabe problem on spin manifolds. Zbl 1087.53045 Ammann, B.; Humbert, E. 9 2005 About the mass of certain second order elliptic operators. Zbl 1338.58012 Hermann, Andreas; Humbert, Emmanuel 7 2016 Low-dimensional surgery and the Yamabe invariant. Zbl 1320.53036 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 6 2015 The conformal Yamabe constant of product manifolds. Zbl 1264.53044 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 6 2013 Observability properties of the homogeneous wave equation on a closed manifold. Zbl 1429.35144 Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel 6 2019 Harmonic spinors and local deformations of the metric. Zbl 1257.53077 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 5 2011 On the positive mass theorem for closed Riemannian manifolds. Zbl 1388.53031 Hermann, Andreas; Humbert, Emmanuel 5 2017 The first conformal Dirac eigenvalue on 2-dimensional tori. Zbl 1093.53048 Ammann, Bernd; Humbert, Emmanuel 5 2006 Extremal functions for the sharp \(L^2\)-Nash inequality. Zbl 1065.58025 Humbert, Emmanuel 5 2005 Mass endomorphism, surgery and perturbations. (Endomorphisme de masse, chirurgie et perturbations.) Zbl 1320.53053 Ammann, Bernd; Dahl, Mattias; Hermann, Andreas; Humbert, Emmanuel 5 2014 Square-integrability of solutions of the Yamabe equation. Zbl 1296.53074 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 5 2013 Optimal trace Nash inequality. Zbl 1005.58014 Humbert, E. 4 2001 A Yamabe type problem on compact spin manifolds. (Un problème de type Yamabe sur les variétés spinorielles compactes.) Zbl 1053.58011 Ammann, Bernd; Humbert, Emmanuel; Morel, Bertrand 3 2004 Surgery and the spinorial \(\tau \)-invariant. Zbl 1183.53041 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 2 2009 From best constants to critical functions. Zbl 1080.53029 Humbert, Emmanuel; Vaugon, Michel 2 2005 Relative Yamabe invariant and \(c\)-concordant metrics. Zbl 1184.53044 Humbert, Emmanuel 2 2009 The geometrical quantity in damped wave equations on a square. Zbl 1108.35105 Hébrard, Pascal; Humbert, Emmanuel 2 2006 The embedding \(W^{n,1}\) into \(C_0\) on compact Riemannian manifolds. Zbl 1040.53049 Humbert, Emmanuel; Nazaret, Bruno 2 2003 The spinorial \(\tau \)-invariant and \(0\)-dimensional surgery. Zbl 1158.53040 Ammann, B.; Humbert, E. 2 2008 Best constant for trace Nash inequality. Zbl 1007.46035 Humbert, Emmanuel 1 2002 General relativity explained to mathematicians. (La relativité générale expliquée aux mathématiciens.) Zbl 1296.83001 Humbert, Emmanuel; Vaugon, Michel 1 2014 Quantum limits on product manifolds. Zbl 1516.58010 Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel 1 2023 Quantum limits on product manifolds. Zbl 1516.58010 Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel 1 2023 Observability properties of the homogeneous wave equation on a closed manifold. Zbl 1429.35144 Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel 6 2019 On the positive mass theorem for closed Riemannian manifolds. Zbl 1388.53031 Hermann, Andreas; Humbert, Emmanuel 5 2017 About the mass of certain second order elliptic operators. Zbl 1338.58012 Hermann, Andreas; Humbert, Emmanuel 7 2016 Low-dimensional surgery and the Yamabe invariant. Zbl 1320.53036 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 6 2015 Mass endomorphism, surgery and perturbations. (Endomorphisme de masse, chirurgie et perturbations.) Zbl 1320.53053 Ammann, Bernd; Dahl, Mattias; Hermann, Andreas; Humbert, Emmanuel 5 2014 General relativity explained to mathematicians. (La relativité générale expliquée aux mathématiciens.) Zbl 1296.83001 Humbert, Emmanuel; Vaugon, Michel 1 2014 Smooth Yamabe invariant and surgery. Zbl 1269.53037 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 24 2013 The conformal Yamabe constant of product manifolds. Zbl 1264.53044 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 6 2013 Square-integrability of solutions of the Yamabe equation. Zbl 1296.53074 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 5 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 20 2012 Harmonic spinors and local deformations of the metric. Zbl 1257.53077 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 5 2011 Surgery and harmonic spinors. Zbl 1159.53021 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 16 2009 Positive mass theorem for the Paneitz-Branson operator. Zbl 1180.53040 Humbert, Emmanuel; Raulot, Simon 13 2009 Surgery and the spinorial \(\tau \)-invariant. Zbl 1183.53041 Ammann, Bernd; Dahl, Mattias; Humbert, Emmanuel 2 2009 Relative Yamabe invariant and \(c\)-concordant metrics. Zbl 1184.53044 Humbert, Emmanuel 2 2009 A spinorial analogue of Aubin’s inequality. Zbl 1145.53039 Ammann, B.; Grosjean, J.-F.; Humbert, E.; Morel, B. 25 2008 The spinorial \(\tau \)-invariant and \(0\)-dimensional surgery. Zbl 1158.53040 Ammann, B.; Humbert, E. 2 2008 An obstruction for the mean curvature of a conformal immersion \(S^n\to \mathbb{R}^{n+1}\). Zbl 1106.53035 Ammann, Bernd; Humbert, Emmanuel; Ahmedou, Mohameden Ould 11 2007 The second Yamabe invariant. Zbl 1142.53026 Ammann, B.; Humbert, E. 25 2006 Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds. Zbl 1126.53024 Ammann, Bernd; Humbert, Emmanuel; Morel, Bertrand 23 2006 The first conformal Dirac eigenvalue on 2-dimensional tori. Zbl 1093.53048 Ammann, Bernd; Humbert, Emmanuel 5 2006 The geometrical quantity in damped wave equations on a square. Zbl 1108.35105 Hébrard, Pascal; Humbert, Emmanuel 2 2006 Positive mass theorem for the Yamabe problem on spin manifolds. Zbl 1087.53045 Ammann, B.; Humbert, E. 9 2005 Extremal functions for the sharp \(L^2\)-Nash inequality. Zbl 1065.58025 Humbert, Emmanuel 5 2005 From best constants to critical functions. Zbl 1080.53029 Humbert, Emmanuel; Vaugon, Michel 2 2005 A Yamabe type problem on compact spin manifolds. (Un problème de type Yamabe sur les variétés spinorielles compactes.) Zbl 1053.58011 Ammann, Bernd; Humbert, Emmanuel; Morel, Bertrand 3 2004 The embedding \(W^{n,1}\) into \(C_0\) on compact Riemannian manifolds. Zbl 1040.53049 Humbert, Emmanuel; Nazaret, Bruno 2 2003 Best constant for trace Nash inequality. Zbl 1007.46035 Humbert, Emmanuel 1 2002 Best constants in the \(L^2\)-Nash inequality. Zbl 1040.53048 Humbert, Emmanuel 12 2001 Optimal trace Nash inequality. Zbl 1005.58014 Humbert, E. 4 2001 all cited Publications top 5 cited Publications all top 5 Cited by 169 Authors 16 Humbert, Emmanuel 14 Ammann, Bernd Eberhard 8 Große, Nadine 6 Borrelli, William 6 Boughazi, Hichem 6 Ceccon, Jurandir 6 Petean, Jimmy 5 Akutagawa, Kazuo 5 Dahl, Mattias 5 Gicquaud, Romain 5 Hermann, Andreas 5 Isobe, Takeshi 5 Montenegro, Marcos 5 Premoselli, Bruno 4 Barbosa, Ezequiel R. 4 Privat, Yannick 4 Raulot, Simon 4 Xu, Tian 3 Avalos, Rodrigo 3 Azaiz, Seid 3 Fernández, Juan Carlos 3 Hang, Fengbo 3 Henry, Guillermo 3 Huneau, Cécile 3 Maalaoui, Ali 3 Trélat, Emmanuel 3 Vétois, Jérôme 3 Yang, Paul C. P. 2 Benalili, Mohammed 2 Burq, Nicolas 2 Carron, Gilles 2 Clapp, Mónica 2 Cotsiolis, Athanase 2 Durán Fernandez, Carlos Eduardo 2 Ginoux, Nicolas 2 Grosjean, Jean-François 2 Gursky, Matthew J. 2 Hebey, Emmanuel 2 Ho, Pak Tung 2 Holst, Michael J. 2 Jost, Jürgen 2 Julio-Batalla, Jurgen 2 Labropoulos, Nikos 2 Laurain, Paul 2 Lemos, Flávio Almeida 2 Lira, Jorge H. S. 2 Ludewig, Matthias 2 Malchiodi, Andrea 2 Mazzeo, Rafe R. 2 Morel, Bertrand 2 Nowaczyk, Nikolai 2 Ruberman, Daniel 2 Ruiz, Juan Miguel 2 Shafrir, Itai 2 Shin, Jinwoo 2 Zhu, Miaomiao 1 Abreu, Emerson A. M. 1 Alberti, Giovanni S. 1 Albin, Pierre 1 Alghanemi, Azeb 1 de Moura Almaraz, Sérgio 1 Alves, Marcos Teixeira 1 Anderson, Michael T. 1 Anné, Colette 1 Barrantes González, Héctor 1 Botvinnik, Boris I. 1 Brahim, Kamel 1 Brouttelande, Christophe 1 Capdeboscq, Yves 1 Carlotto, Alessandro 1 Chen, Qun 1 Chen, Wenyi 1 Chruściel, Piotr Tadeusz 1 Chtioui, Hichem 1 Collion, Stephane 1 Corro, Diego 1 de Souza, Manassés X. 1 Dehman, Belhassen 1 Delay, Erwann 1 Dilts, James 1 Ding, Yanheng 1 Dong, Xiaojing 1 Downes, Robert J. 1 Druet, Olivier 1 Franchi, Jacques 1 Frank, Rupert L. 1 Gdarat, Mohamed 1 Gell-Redman, Jesse 1 Gerard, Patrick 1 Goette, Sebastian 1 Gong, Wenmin 1 Gover, Ashwin Rod 1 Guo, Qi 1 Haberl, Christoph 1 Habib, Georges 1 Hleili, Manel 1 Jammes, Pierre 1 Juárez, Areli Vázquez 1 Kim, Seunghyeok 1 Kirsch, Stephane ...and 69 more Authors all top 5 Cited in 63 Serials 14 Calculus of Variations and Partial Differential Equations 9 Annals of Global Analysis and Geometry 8 Mathematische Zeitschrift 8 Differential Geometry and its Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 The Journal of Geometric Analysis 7 Annales Henri Poincaré 6 Communications in Mathematical Physics 5 Journal of Differential Equations 5 Journal of Functional Analysis 5 Transactions of the American Mathematical Society 4 Journal of Geometry and Physics 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 3 Classical and Quantum Gravity 3 Advances in Mathematics 3 Communications in Partial Differential Equations 3 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Pacific Journal of Mathematics 2 Potential Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin des Sciences Mathématiques 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Topology and Analysis 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Proceedings of the London Mathematical Society. Third Series 1 Asymptotic Analysis 1 Sugaku Expositions 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Annales Mathématiques Blaise Pascal 1 Balkan Journal of Geometry and its Applications (BJGA) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Living Reviews in Relativity 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Complex Variables and Elliptic Equations 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Analysis & PDE 1 International Journal of Differential Equations 1 Journal de l’École Polytechnique – Mathématiques 1 Mathematics in Engineering 1 Pure and Applied Analysis 1 Electronic Research Archive all top 5 Cited in 33 Fields 116 Differential geometry (53-XX) 82 Global analysis, analysis on manifolds (58-XX) 70 Partial differential equations (35-XX) 25 Relativity and gravitational theory (83-XX) 19 Manifolds and cell complexes (57-XX) 9 Functional analysis (46-XX) 8 Real functions (26-XX) 7 Systems theory; control (93-XX) 6 Quantum theory (81-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year