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Author ID: humbert.emmanuel Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year