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Courtois, Gilles

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Author ID: courtois.gilles Recent zbMATH articles by "Courtois, Gilles"
Published as: Courtois, Gilles; Courtois, G.
Documents Indexed: 30 Publications since 1986
1 Further Contribution

Publications by Year

Citations contained in zbMATH Open

23 Publications have been cited 301 times in 231 Documents Cited by Year
Entropy and rigidity of locally symmetric spaces of strictly negative curvature. (Entropies et rigidités des espaces localement symétriques de courbure strictement négative.) Zbl 0851.53032
Besson, G.; Courtois, G.; Gallot, S.
112
1995
Minimal entropy and Mostow’s rigidity theorems. Zbl 0887.58030
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
36
1996
Spectrum of manifolds with holes. Zbl 0847.58076
Courtois, Gilles
21
1995
Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces). Zbl 0723.53029
Besson, G.; Courtois, G.; Gallot, S.
20
1991
The real Schwarz Lemma and geometric applications. (Lemme de Schwarz réel et applications géométriques.) Zbl 1035.53038
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
17
1999
Les valeurs propres inférieures à 1/4 des surfaces de Riemann de petit rayon d’injectivité. (Eigenvalues smaller than 1/4 of Riemann surfaces with small injectivity radius). Zbl 0684.53040
Colbois, Bruno; Courtois, Gilles
14
1989
Geometric Milnor-Wood inequalities. (Inégalités de Milnor-Wood géométriques.) Zbl 1143.53040
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
12
2007
A note on the first nonzero eigenvalue of the Laplacian acting on p- forms. Zbl 0709.53031
Colbois, Bruno; Courtois, Gilles
12
1990
Convergence de variétés et convergence du spectre du laplacien. (Convergence of manifolds and convergence of the spectrum of the Laplacian). Zbl 0754.58040
Colbois, B.; Courtois, G.
8
1991
The hyperbolic manifolds are local minima of the topological entropy. (Les variétés hyperboliques sont des minima locaux de l’entropie topologique.) Zbl 0814.53031
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
8
1994
A real Schwarz lemma and some applications. Zbl 0909.53001
Besson, G.; Courtois, G.; Gallot, S.
6
1998
Rigidity of amalgamated products in negative curvature. Zbl 1206.53038
Besson, Gérard; Courtois, Gilles; Gallot, Sylvain
6
2008
Small eigenvalues and the Euler class of \(S^1\)-bundles. (Petites valeurs propres et classe d’Euler des \(S^1\)-fibrés.) Zbl 0968.58001
Colbois, Bruno; Courtois, Gilles
5
2000
Uniform growth of groups acting on Cartan-Hadamard spaces. Zbl 1259.20038
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
4
2011
Finite parts of the spectrum of a Riemann surface. Zbl 0711.58033
Buser, Peter; Courtois, Gilles
3
1990
Volumes, entropies and rigidities of strictly negative curved locally symmetric spaces. (Volumes, entropies et rigidités des espaces localement symétriques de courbure strictement négative.) Zbl 0812.53041
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
3
1994
Sur la multiplicité de la première valeur propre de l’opérateur de Schrödinger avec champ magnétique sur la sphère \(S^2\). (On the multiplicity of the first eigenvalue of the Schrödinger operator with magnetic field on the sphere \(S^2\)). Zbl 0903.58060
Besson, Gérard; Colbois, Bruno; Courtois, Gilles
3
1998
Hyperbolic manifolds, amalgamated products and critical exponents. Zbl 1026.57013
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
3
2003
Differentiable rigidity under Ricci curvature lower bound. Zbl 1250.53033
Bessières, L.; Besson, G.; Courtois, G.; Gallot, S.
3
2012
Estimations du noyau de l’opérateur de la chaleur et du noyau de Green d’une variété riemannienne. Application aux variétés privées d’un \(\epsilon\)-tube. (Estimates on the heat kernel and the Green function of a Riemannian manifold. Application to manifolds with a removed \(\epsilon\)-tube). Zbl 0588.53030
Courtois, Gilles
2
1986
On the values at integers of real quadratic forms. (Sur les valeurs aux entiers des formes quadratiques reélles.) Zbl 1243.11077
Courtois, Gilles
1
2007
Critical exponents and rigidity in negative curvature. Zbl 1198.53042
Courtois, Gilles
1
2009
Margulis lemma with Ricci curvature bounded from below (after Vitali Kapovitch and Burkhard Wilking). (Lemme de Margulis à courbure de Ricci minorée (d’après Vitali Kapovitch et Burkhard Wilking).) Zbl 1356.53001
Courtois, Gilles
1
2015
Margulis lemma with Ricci curvature bounded from below (after Vitali Kapovitch and Burkhard Wilking). (Lemme de Margulis à courbure de Ricci minorée (d’après Vitali Kapovitch et Burkhard Wilking).) Zbl 1356.53001
Courtois, Gilles
1
2015
Differentiable rigidity under Ricci curvature lower bound. Zbl 1250.53033
Bessières, L.; Besson, G.; Courtois, G.; Gallot, S.
3
2012
Uniform growth of groups acting on Cartan-Hadamard spaces. Zbl 1259.20038
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
4
2011
Critical exponents and rigidity in negative curvature. Zbl 1198.53042
Courtois, Gilles
1
2009
Rigidity of amalgamated products in negative curvature. Zbl 1206.53038
Besson, Gérard; Courtois, Gilles; Gallot, Sylvain
6
2008
Geometric Milnor-Wood inequalities. (Inégalités de Milnor-Wood géométriques.) Zbl 1143.53040
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
12
2007
On the values at integers of real quadratic forms. (Sur les valeurs aux entiers des formes quadratiques reélles.) Zbl 1243.11077
Courtois, Gilles
1
2007
Hyperbolic manifolds, amalgamated products and critical exponents. Zbl 1026.57013
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
3
2003
Small eigenvalues and the Euler class of \(S^1\)-bundles. (Petites valeurs propres et classe d’Euler des \(S^1\)-fibrés.) Zbl 0968.58001
Colbois, Bruno; Courtois, Gilles
5
2000
The real Schwarz Lemma and geometric applications. (Lemme de Schwarz réel et applications géométriques.) Zbl 1035.53038
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
17
1999
A real Schwarz lemma and some applications. Zbl 0909.53001
Besson, G.; Courtois, G.; Gallot, S.
6
1998
Sur la multiplicité de la première valeur propre de l’opérateur de Schrödinger avec champ magnétique sur la sphère \(S^2\). (On the multiplicity of the first eigenvalue of the Schrödinger operator with magnetic field on the sphere \(S^2\)). Zbl 0903.58060
Besson, Gérard; Colbois, Bruno; Courtois, Gilles
3
1998
Minimal entropy and Mostow’s rigidity theorems. Zbl 0887.58030
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
36
1996
Entropy and rigidity of locally symmetric spaces of strictly negative curvature. (Entropies et rigidités des espaces localement symétriques de courbure strictement négative.) Zbl 0851.53032
Besson, G.; Courtois, G.; Gallot, S.
112
1995
Spectrum of manifolds with holes. Zbl 0847.58076
Courtois, Gilles
21
1995
The hyperbolic manifolds are local minima of the topological entropy. (Les variétés hyperboliques sont des minima locaux de l’entropie topologique.) Zbl 0814.53031
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
8
1994
Volumes, entropies and rigidities of strictly negative curved locally symmetric spaces. (Volumes, entropies et rigidités des espaces localement symétriques de courbure strictement négative.) Zbl 0812.53041
Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
3
1994
Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces). Zbl 0723.53029
Besson, G.; Courtois, G.; Gallot, S.
20
1991
Convergence de variétés et convergence du spectre du laplacien. (Convergence of manifolds and convergence of the spectrum of the Laplacian). Zbl 0754.58040
Colbois, B.; Courtois, G.
8
1991
A note on the first nonzero eigenvalue of the Laplacian acting on p- forms. Zbl 0709.53031
Colbois, Bruno; Courtois, Gilles
12
1990
Finite parts of the spectrum of a Riemann surface. Zbl 0711.58033
Buser, Peter; Courtois, Gilles
3
1990
Les valeurs propres inférieures à 1/4 des surfaces de Riemann de petit rayon d’injectivité. (Eigenvalues smaller than 1/4 of Riemann surfaces with small injectivity radius). Zbl 0684.53040
Colbois, Bruno; Courtois, Gilles
14
1989
Estimations du noyau de l’opérateur de la chaleur et du noyau de Green d’une variété riemannienne. Application aux variétés privées d’un \(\epsilon\)-tube. (Estimates on the heat kernel and the Green function of a Riemannian manifold. Application to manifolds with a removed \(\epsilon\)-tube). Zbl 0588.53030
Courtois, Gilles
2
1986
all top 5

Cited by 249 Authors

10 Courtois, Gilles
9 Besson, Gérard
9 Gallot, Sylvestre
8 Itoh, Mitsuhiro
7 Colbois, Bruno
7 Uhlmann, Gunther Alberto
5 Jorgenson, Jay Alan
5 Satoh, Hiroyasu
5 Stefanov, Plamen D.
4 Ivanov, Sergei Vladimirovich
4 Jammes, Pierre
4 Kim, Inkang
4 Kim, Sungwoon
4 Lundelius, Rolf E.
4 Sambusetti, Andrea
3 Abatangelo, Laura
3 Connell, Chris
3 Derbez, Pierre
3 Felli, Veronica
3 Knieper, Gerhard
3 Labrousse, Clémence
3 Ledrappier, François
3 Lefeuvre, Thibault
3 Liu, Yi
3 Maity, Soma
3 Mondal, Sugata
3 Suárez-Serrato, Pablo
3 Vasy, András
3 Wang, Shi
3 Wang, Shi Cheng
2 Agol, Ian
2 Akutagawa, Kazuo
2 Anné, Colette
2 Bessières, Laurent
2 Bray, Harrison
2 Bucher, Michelle
2 Burago, Dmitri
2 Buser, Peter
2 Carron, Gilles
2 Constantine, David
2 Croke, Christopher B.
2 de la Harpe, Pierre
2 Di Cerbo, Luca Fabrizio
2 Fanaï, Hamid-Reza
2 Fine, Joel
2 Francaviglia, Stefano
2 Ji, Lizhen
2 Jimbo, Shuichi
2 Kabeya, Yoshitsugu
2 Karam, Steve
2 Katz, Gabriel
2 Lafont, Jean-François
2 Lassas, Matti J.
2 LeBrun, Claude R.
2 Léna, Corentin
2 Lim, Seonhee
2 Lott, John
2 Makover, Eran
2 Mossa, Roberto
2 Musolino, Paolo
2 Mützel, Björn
2 Noris, Benedetta
2 Paeng, Seong-Hun
2 Peigné, Marc
2 Peyerimhoff, Norbert
2 Sabatini, Luca
2 Sabourau, Stéphane
2 Shah, Hemangi M.
2 Shu, Lin
2 Silhol, Robert
2 Souto, Juan
2 Sun, Hongbin
2 Takahashi, Junya
2 Tapie, Samuel
2 Wang, Xiaodong
1 Adeboye, Ilesanmi
1 Adiceam, Faustin
1 Ammann, Bernd Eberhard
1 Ammari, Habib M.
1 Arnaudon, Marc
1 Aubry, Erwann
1 Avdispahić, Muharem
1 Balacheff, Florent
1 Bandle, Catherine
1 Bao, Gang
1 Barthelmé, Thomas
1 Bernard, Patrick
1 Bertrand, Jérôme
1 Bhattacharya, Atreyee
1 Biswas, Kingshook
1 Boileau, Michel Charles
1 Boland, Jeffrey
1 Bonnaillie-Noël, Virginie
1 Bordoni, Manlio
1 Breuillard, Emmanuel
1 Burger, Marc
1 Burns, Keith
1 Butler, Clark
1 Cabrera, Carlos
1 Cao, ChunJun
...and 149 more Authors
all top 5

Cited in 93 Serials

12 Mathematische Annalen
10 Geometriae Dedicata
8 Duke Mathematical Journal
8 Mathematische Zeitschrift
8 Proceedings of the American Mathematical Society
8 Transactions of the American Mathematical Society
8 Differential Geometry and its Applications
7 Annales de l’Institut Fourier
6 Advances in Mathematics
6 The Journal of Geometric Analysis
6 Geometric and Functional Analysis. GAFA
6 Geometry & Topology
5 Journal of Geometry and Physics
5 Algebraic & Geometric Topology
4 Annals of Global Analysis and Geometry
4 Journal of the American Mathematical Society
4 International Journal of Mathematics
4 Discrete and Continuous Dynamical Systems
4 Annals of Mathematics. Second Series
4 Journal of Topology and Analysis
3 Israel Journal of Mathematics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Inventiones Mathematicae
3 Journal of Functional Analysis
3 Manuscripta Mathematica
3 Ergodic Theory and Dynamical Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Acta Mathematica
2 Bulletin de la Société Mathématique de France
2 Commentarii Mathematici Helvetici
2 Communications in Partial Differential Equations
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 Electronic Research Announcements of the American Mathematical Society
2 Journal of the European Mathematical Society (JEMS)
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Topology
2 Journal of Spectral Theory
1 International Journal of Modern Physics B
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 The Annals of Probability
1 Archiv der Mathematik
1 Compositio Mathematica
1 Funkcialaj Ekvacioj. Serio Internacia
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Forum Mathematicum
1 Sugaku Expositions
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Journal of Dynamics and Differential Equations
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Numerical Linear Algebra with Applications
1 Journal of Lie Theory
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Conformal Geometry and Dynamics
1 Regular and Chaotic Dynamics
1 Communications of the Korean Mathematical Society
1 Acta Mathematica Sinica. English Series
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Qualitative Theory of Dynamical Systems
1 Advances in Geometry
1 Advanced Nonlinear Studies
1 Computational Methods and Function Theory
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Groups, Geometry, and Dynamics
1 SIAM Journal on Imaging Sciences
1 Bulletin of Mathematical Sciences
1 Annales Mathématiques du Québec
1 Arnold Mathematical Journal
1 Complex Manifolds
1 Journal of Elliptic and Parabolic Equations
1 Annales Fennici Mathematici
all top 5

Cited in 38 Fields

154 Differential geometry (53-XX)
58 Global analysis, analysis on manifolds (58-XX)
41 Dynamical systems and ergodic theory (37-XX)
40 Manifolds and cell complexes (57-XX)
36 Partial differential equations (35-XX)
16 Topological groups, Lie groups (22-XX)
15 Group theory and generalizations (20-XX)
15 Functions of a complex variable (30-XX)
6 Number theory (11-XX)
6 Algebraic geometry (14-XX)
6 Several complex variables and analytic spaces (32-XX)
5 Measure and integration (28-XX)
5 Potential theory (31-XX)
5 Geometry (51-XX)
5 Probability theory and stochastic processes (60-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Abstract harmonic analysis (43-XX)
3 Combinatorics (05-XX)
3 Integral transforms, operational calculus (44-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
3 Statistics (62-XX)
3 Quantum theory (81-XX)
3 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Special functions (33-XX)
2 Ordinary differential equations (34-XX)
2 Operator theory (47-XX)
2 Numerical analysis (65-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

Citations by Year