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Author ID: troyanov.marc Recent zbMATH articles by "Troyanov, Marc"
Published as: Troyanov, Marc; Troyanov, M.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 894 times in 668 Documents Cited by Year
Prescribing curvature on compact surfaces with conical singularities. Zbl 0724.53023
Troyanov, Marc
223
1991
Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities). Zbl 0611.53035
Troyanov, Marc
72
1986
Handbook of Hilbert geometry. Zbl 1310.51001
60
2014
Metrics of constant curvature on a sphere with two conical singularities. Zbl 0697.53037
Troyanov, Marc
51
1989
Parabolicity of manifolds. Zbl 0991.31008
Troyanov, M.
45
1999
Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology. Zbl 1105.58008
Gol’dshtein, Vladimir; Troyanov, Marc
40
2006
The Binet-Legendre metric in Finsler geometry. Zbl 1258.53080
Matveev, Vladimir S.; Troyanov, Marc
36
2012
Axiomatic theory of Sobolev spaces. Zbl 1006.46023
Gol’dshtein, Vladimir; Troyanov, Marc
32
2001
Prescribing curvature on open surfaces. Zbl 0799.53047
Hulin, D.; Troyanov, M.
31
1992
Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075
Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A.
22
2009
Solving the \(p\)-Laplacian on manifolds. Zbl 1018.31005
Troyanov, Marc
20
2000
On the moduli space of singular Euclidean surfaces. Zbl 1127.32009
Troyanov, Marc
20
2007
The connectivity at infinity of a manifold and \(L^{q, p}\)-Sobolev inequalities. Zbl 1303.53055
Pigola, Stefano; Setti, Alberto G.; Troyanov, Marc
19
2014
Weak Finsler structures and the Funk weak metric. Zbl 1198.53084
Papadopoulos, Athanase; Troyanov, Marc
18
2009
The Kelvin-Nevanlinna-Royden criterion for \(p\)-parabolicity. Zbl 0939.31011
Gol’dshtein, Vladimir; Troyanov, Marc
18
1999
The horizon of SOL. (L’horizon de SOL.) Zbl 0939.53042
Troyanov, Marc
17
1998
Voronoi diagrams on piecewise flat surfaces and an application to biological growth. Zbl 0974.68222
Indermitte, C.; Liebling, T. M.; Troyanov, M.; Clémençon, H.
15
2001
Liouville type theorems for mappings with bounded (co)-distortion. Zbl 1019.30022
Troyanov, Marc; Vodop’yanov, Sergei
13
2002
Capacities in metric spaces. Zbl 1030.46038
Gol’dshtein, Vladimir; Troyanov, Marc
13
2002
The Schwarz lemma for nonpositively curved Riemannian surfaces. Zbl 0736.53043
Troyanov, Marc
11
1991
Mean curvature and asymptotic volume of small balls. Zbl 1057.53060
Hulin, Dominique; Troyanov, Marc
11
2003
Surfaces of bounded integral curvature in the sense of Alexandrov. (Les surfaces à courbure intégrale bornée au sens d’Alexandrov.) Zbl 1221.53101
Troyanov, Marc
10
2009
On the Hodge decomposition in \(\mathbb R^n\). Zbl 1195.58002
Troyanov, Marc
9
2009
Thurston’s weak metric on the Teichmüller space of the torus. Zbl 1088.30047
Belkhirat, Abdelhadi; Papadopoulos, Athanase; Troyanov, Marc
8
2005
A concentration-compactness principle for sequences of Riemannian surfaces. (Un principe de concentration-compacité pour les suites de surfaces riemanniennes.) Zbl 0755.53027
Troyanov, M.
8
1991
Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry. Zbl 1166.58004
Papadopoulos, Athanase; Troyanov, Marc
7
2009
Isometries of two dimensional Hilbert geometries. Zbl 1362.51005
Matveev, Vladimir S.; Troyanov, Marc
6
2015
The Myers-Steenrod theorem for Finsler manifolds of low regularity. Zbl 1362.53083
Matveev, Vladimir S.; Troyanov, Marc
5
2017
Polar coordinates on singular Riemannian surfaces. (Coordonnées polaires sur les surfaces riemanniennes singulières.) Zbl 0711.53017
Troyanov, Marc
5
1990
A conformal de Rham complex. Zbl 1196.30022
Gol’dshtein, Vladimir; Troyanov, Marc
5
2010
The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology. Zbl 1255.58001
Gol’dshtein, Vladimir; Troyanov, Marc
5
2012
Approximately Lipschitz mappings and Sobolev mappings between metric spaces. Zbl 0992.46022
Troyanov, Marc
5
2000
A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology. Zbl 1225.58004
Gol’dshtein, Vladimir; Troyanov, Marc
4
2010
Sur la courbure des surfaces de Riemann ouvertes. (On the curvature of open Riemann surfaces). Zbl 0697.53039
Hulin, Dominique; Troyanov, Marc
4
1990
Steiner’s invariants and minimal connections. Zbl 1156.51010
Ducret, Stephen; Troyanov, Marc
4
2008
Weak metrics on Euclidean domains. Zbl 1189.30083
Papadopoulos, Athanase; Troyanov, Marc
4
2007
Distortion of mappings and \(L_{q,p}\)-cohomology. Zbl 1219.58007
Gol’dshtein, Vladimir; Troyanov, Marc
4
2010
An integral characterization of Hajłasz-Sobolev space. Zbl 1028.46051
Troyanov, Marc; Gol’dshtein, Vladimir
3
2001
Completeness and incompleteness of the Binet-Legendre metric. Zbl 1343.53076
Matveev, Vladimir S.; Troyanov, Marc
2
2015
Boundary behavior of quasi-regular maps and the isodiametric profile. Zbl 1051.30021
Hanson, Bruce; Koskela, Pekka; Troyanov, Marc
2
2001
The \(L_{pq}\)-cohomology of \(\text{SOL}^{(*)}\). Zbl 0962.53031
Gol’dshtein, Vladimir; Troyanov, Marc
2
1998
\(L_{q,p}\)-cohomology of Riemannian manifolds with negative curvature. Zbl 1169.58003
Gol’dshtein, Vladimir; Troyanov, Marc
2
2009
On the naturality of the exterior differential. Zbl 1173.58001
Gol’dshtein, Vladimir; Troyanov, Marc
2
2008
Riemann surfaces with simple singularities. (Surfaces riemanniennes à singularités simples.) Zbl 0806.53042
Troyanov, Marc
1
1993
The Myers-Steenrod theorem for Finsler manifolds of low regularity. Zbl 1362.53083
Matveev, Vladimir S.; Troyanov, Marc
5
2017
Isometries of two dimensional Hilbert geometries. Zbl 1362.51005
Matveev, Vladimir S.; Troyanov, Marc
6
2015
Completeness and incompleteness of the Binet-Legendre metric. Zbl 1343.53076
Matveev, Vladimir S.; Troyanov, Marc
2
2015
Handbook of Hilbert geometry. Zbl 1310.51001
60
2014
The connectivity at infinity of a manifold and \(L^{q, p}\)-Sobolev inequalities. Zbl 1303.53055
Pigola, Stefano; Setti, Alberto G.; Troyanov, Marc
19
2014
The Binet-Legendre metric in Finsler geometry. Zbl 1258.53080
Matveev, Vladimir S.; Troyanov, Marc
36
2012
The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology. Zbl 1255.58001
Gol’dshtein, Vladimir; Troyanov, Marc
5
2012
A conformal de Rham complex. Zbl 1196.30022
Gol’dshtein, Vladimir; Troyanov, Marc
5
2010
A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology. Zbl 1225.58004
Gol’dshtein, Vladimir; Troyanov, Marc
4
2010
Distortion of mappings and \(L_{q,p}\)-cohomology. Zbl 1219.58007
Gol’dshtein, Vladimir; Troyanov, Marc
4
2010
Finsler conformal Lichnerowicz-Obata conjecture. Zbl 1179.53075
Matveev, V. S.; Rademacher, H.-B.; Troyanov, M.; Zeghib, A.
22
2009
Weak Finsler structures and the Funk weak metric. Zbl 1198.53084
Papadopoulos, Athanase; Troyanov, Marc
18
2009
Surfaces of bounded integral curvature in the sense of Alexandrov. (Les surfaces à courbure intégrale bornée au sens d’Alexandrov.) Zbl 1221.53101
Troyanov, Marc
10
2009
On the Hodge decomposition in \(\mathbb R^n\). Zbl 1195.58002
Troyanov, Marc
9
2009
Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry. Zbl 1166.58004
Papadopoulos, Athanase; Troyanov, Marc
7
2009
\(L_{q,p}\)-cohomology of Riemannian manifolds with negative curvature. Zbl 1169.58003
Gol’dshtein, Vladimir; Troyanov, Marc
2
2009
Steiner’s invariants and minimal connections. Zbl 1156.51010
Ducret, Stephen; Troyanov, Marc
4
2008
On the naturality of the exterior differential. Zbl 1173.58001
Gol’dshtein, Vladimir; Troyanov, Marc
2
2008
On the moduli space of singular Euclidean surfaces. Zbl 1127.32009
Troyanov, Marc
20
2007
Weak metrics on Euclidean domains. Zbl 1189.30083
Papadopoulos, Athanase; Troyanov, Marc
4
2007
Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology. Zbl 1105.58008
Gol’dshtein, Vladimir; Troyanov, Marc
40
2006
Thurston’s weak metric on the Teichmüller space of the torus. Zbl 1088.30047
Belkhirat, Abdelhadi; Papadopoulos, Athanase; Troyanov, Marc
8
2005
Mean curvature and asymptotic volume of small balls. Zbl 1057.53060
Hulin, Dominique; Troyanov, Marc
11
2003
Liouville type theorems for mappings with bounded (co)-distortion. Zbl 1019.30022
Troyanov, Marc; Vodop’yanov, Sergei
13
2002
Capacities in metric spaces. Zbl 1030.46038
Gol’dshtein, Vladimir; Troyanov, Marc
13
2002
Axiomatic theory of Sobolev spaces. Zbl 1006.46023
Gol’dshtein, Vladimir; Troyanov, Marc
32
2001
Voronoi diagrams on piecewise flat surfaces and an application to biological growth. Zbl 0974.68222
Indermitte, C.; Liebling, T. M.; Troyanov, M.; Clémençon, H.
15
2001
An integral characterization of Hajłasz-Sobolev space. Zbl 1028.46051
Troyanov, Marc; Gol’dshtein, Vladimir
3
2001
Boundary behavior of quasi-regular maps and the isodiametric profile. Zbl 1051.30021
Hanson, Bruce; Koskela, Pekka; Troyanov, Marc
2
2001
Solving the \(p\)-Laplacian on manifolds. Zbl 1018.31005
Troyanov, Marc
20
2000
Approximately Lipschitz mappings and Sobolev mappings between metric spaces. Zbl 0992.46022
Troyanov, Marc
5
2000
Parabolicity of manifolds. Zbl 0991.31008
Troyanov, M.
45
1999
The Kelvin-Nevanlinna-Royden criterion for \(p\)-parabolicity. Zbl 0939.31011
Gol’dshtein, Vladimir; Troyanov, Marc
18
1999
The horizon of SOL. (L’horizon de SOL.) Zbl 0939.53042
Troyanov, Marc
17
1998
The \(L_{pq}\)-cohomology of \(\text{SOL}^{(*)}\). Zbl 0962.53031
Gol’dshtein, Vladimir; Troyanov, Marc
2
1998
Riemann surfaces with simple singularities. (Surfaces riemanniennes à singularités simples.) Zbl 0806.53042
Troyanov, Marc
1
1993
Prescribing curvature on open surfaces. Zbl 0799.53047
Hulin, D.; Troyanov, M.
31
1992
Prescribing curvature on compact surfaces with conical singularities. Zbl 0724.53023
Troyanov, Marc
223
1991
The Schwarz lemma for nonpositively curved Riemannian surfaces. Zbl 0736.53043
Troyanov, Marc
11
1991
A concentration-compactness principle for sequences of Riemannian surfaces. (Un principe de concentration-compacité pour les suites de surfaces riemanniennes.) Zbl 0755.53027
Troyanov, M.
8
1991
Polar coordinates on singular Riemannian surfaces. (Coordonnées polaires sur les surfaces riemanniennes singulières.) Zbl 0711.53017
Troyanov, Marc
5
1990
Sur la courbure des surfaces de Riemann ouvertes. (On the curvature of open Riemann surfaces). Zbl 0697.53039
Hulin, Dominique; Troyanov, Marc
4
1990
Metrics of constant curvature on a sphere with two conical singularities. Zbl 0697.53037
Troyanov, Marc
51
1989
Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities). Zbl 0611.53035
Troyanov, Marc
72
1986
all top 5

Cited by 734 Authors

23 Troyanov, Marc
14 Bartolucci, Daniele
14 Lin, Chang-Shou
14 Matveev, Vladimir S.
13 Gol’dshtein, Vladimir Mikhailovich
11 Yang, Wen
10 Vodop’yanov, Sergeĭ Konstantinovich
10 Wei, Juncheng
10 Zhang, Lei
9 Wu, Yingyi
8 Fillastre, François
8 Jevnikar, Aleks Yang Wen
8 Lee, Youngae
8 Malchiodi, Andrea
8 Papadopoulos, Athanase
8 Schlenker, Jean-Marc
8 Veronelli, Giona
7 Pigola, Stefano
7 Sabourau, Stéphane
7 Saglam, Ismail
7 Tarantello, Gabriella
7 Wei, Zhiqiang
6 Anza Hafsa, Omar
6 Eremenko, Alexandre Émmanuilovich
6 Gaubert, Stéphane
6 Kokotov, Aleksey
6 Kopylov, Yaroslav Anatol’evich
6 Mandallena, Jean-Philippe
6 Setti, Alberto G.
5 Bobenko, Alexander Ivanovich
5 Charitos, Charalampos
5 Gabrielov, Andrei
5 Izmestiev, Ivan
5 Kalvin, Victor
5 Lemmens, Bas
5 Papadoperakis, Ioannis
5 Shen, Bin
5 Vincze, Csaba
5 Zhu, Xiaobao
5 Zhu, Xuwen
4 Battaglia, Luca
4 Berman, Robert J.
4 Bray, Harrison
4 de Borbon, Martin
4 de Marchis, Francesca
4 Fang, Hao
4 Kangasniemi, Ilmari
4 Katz, Mikhail G.
4 Kraus, Daniela
4 Lai, Mijia
4 Menotti, Pietro
4 Nguyen, Duc-Manh
4 Nie, Xin
4 Rhodes, Rémi
4 Rigoli, Marco
4 Romanovskii, N. N.
4 Roth, Oliver
4 Shanmugalingam, Nageswari
4 Springborn, Boris Andre
4 Tsapogas, Georgios
4 Vargas, Vincent
4 Wortel, Marten
4 Wu, Lina
4 Xu, Bin
4 Yamada, Sumio
3 Allamigeon, Xavier
3 Badr, Nadine
3 Barthelmé, Thomas
3 Bei, Francesco
3 Besau, Florian
3 Brunswic, Léo
3 Carlotto, Alessandro
3 Chen, Qiyu
3 Chen, Wenxiong
3 Cunha, Antonio Wilson
3 Deng, Shaoqiang
3 Ding, Shusen
3 Erjavec, Zlatko
3 Hillairet, Luc
3 Hubert, Pascal
3 Hyder, Ali
3 Jacobs, Henry O.
3 Javaloyes, Miguel Angel
3 Jin, Jiaming
3 Koskela, Pekka
3 Li, Congming
3 Lima, Eraldo Almeida jun.
3 Lin, Hezi
3 Liu, Yu
3 López Camino, Rafael
3 López López, Jorge Luis
3 Mancini, Gabriele
3 Mazzeo, Rafe R.
3 Munteanu, Marian-Ioan
3 Nguyễn Thạc Dũng
3 Palmer, Vicente
3 Panov, Dmitri Alekseevich
3 Piątek, Marcin R.
3 Pinchover, Yehuda
3 Roelands, Mark
...and 634 more Authors
all top 5

Cited in 191 Serials

36 The Journal of Geometric Analysis
25 Geometriae Dedicata
19 Mathematische Annalen
19 Proceedings of the American Mathematical Society
17 Annales de l’Institut Fourier
17 Geometry & Topology
15 Advances in Mathematics
15 Transactions of the American Mathematical Society
15 Calculus of Variations and Partial Differential Equations
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Differential Geometry and its Applications
12 Journal of Mathematical Analysis and Applications
12 Journal of Functional Analysis
11 Journal of Geometry and Physics
11 Mathematische Zeitschrift
11 Siberian Mathematical Journal
9 Manuscripta Mathematica
8 Duke Mathematical Journal
8 Annals of Global Analysis and Geometry
8 Journal of High Energy Physics
7 Israel Journal of Mathematics
7 Journal of Differential Equations
6 Communications in Mathematical Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Illinois Journal of Mathematics
6 Proceedings of the London Mathematical Society. Third Series
6 Results in Mathematics
6 Potential Analysis
5 Journal of Geometry
5 Mathematische Nachrichten
5 Tôhoku Mathematical Journal. Second Series
5 Geometric and Functional Analysis. GAFA
5 Expositiones Mathematicae
5 Conformal Geometry and Dynamics
5 Journal of Topology and Analysis
5 Analysis and Geometry in Metric Spaces
4 Journal d’Analyse Mathématique
4 Nuclear Physics. B
4 Archiv der Mathematik
4 Journal für die Reine und Angewandte Mathematik
4 Monatshefte für Mathematik
4 Experimental Mathematics
4 Journal of the European Mathematical Society (JEMS)
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Physics A: Mathematical and Theoretical
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Rocky Mountain Journal of Mathematics
3 Journal of Differential Geometry
3 Journal of the London Mathematical Society. Second Series
3 Pacific Journal of Mathematics
3 Ergodic Theory and Dynamical Systems
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Discrete & Computational Geometry
3 International Journal of Mathematics
3 Communications in Partial Differential Equations
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Annales Mathématiques Blaise Pascal
3 Bulletin des Sciences Mathématiques
3 Discrete and Continuous Dynamical Systems
3 Doklady Mathematics
3 Advanced Nonlinear Studies
3 Milan Journal of Mathematics
3 Journal of Topology
3 Science China. Mathematics
3 European Journal of Mathematics
3 Annales Fennici Mathematici
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Beiträge zur Algebra und Geometrie
2 Acta Mathematica
2 Canadian Journal of Mathematics
2 Inventiones Mathematicae
2 Michigan Mathematical Journal
2 Rendiconti del Seminario Matematico della Università di Padova
2 Computer Aided Geometric Design
2 Revista Matemática Iberoamericana
2 Publicacions Matemàtiques
2 L’Enseignement Mathématique. 2e Série
2 Turkish Journal of Mathematics
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Algebraic & Geometric Topology
2 Computational Methods and Function Theory
2 Analysis and Applications (Singapore)
2 International Journal of Geometric Methods in Modern Physics
2 Oberwolfach Reports
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Complex Variables and Elliptic Equations
2 International Electronic Journal of Geometry
2 Advances in Calculus of Variations
2 Analysis & PDE
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Problemy Analiza. Issues of Analysis
2 Arnold Mathematical Journal
2 Journal de l’École Polytechnique – Mathématiques
1 Analysis Mathematica
1 Applicable Analysis
1 Classical and Quantum Gravity
...and 91 more Serials
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Cited in 49 Fields

322 Differential geometry (53-XX)
140 Global analysis, analysis on manifolds (58-XX)
138 Partial differential equations (35-XX)
126 Functions of a complex variable (30-XX)
74 Manifolds and cell complexes (57-XX)
69 Several complex variables and analytic spaces (32-XX)
60 Functional analysis (46-XX)
41 Convex and discrete geometry (52-XX)
40 Potential theory (31-XX)
36 Algebraic geometry (14-XX)
34 Geometry (51-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
27 Dynamical systems and ergodic theory (37-XX)
25 Quantum theory (81-XX)
21 Relativity and gravitational theory (83-XX)
20 Topological groups, Lie groups (22-XX)
17 Operator theory (47-XX)
16 Group theory and generalizations (20-XX)
16 Real functions (26-XX)
16 Numerical analysis (65-XX)
15 Probability theory and stochastic processes (60-XX)
13 Ordinary differential equations (34-XX)
13 Computer science (68-XX)
10 Measure and integration (28-XX)
10 General topology (54-XX)
8 Combinatorics (05-XX)
7 Fluid mechanics (76-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Special functions (33-XX)
5 Algebraic topology (55-XX)
5 Mechanics of particles and systems (70-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 History and biography (01-XX)
4 Nonassociative rings and algebras (17-XX)
3 General and overarching topics; collections (00-XX)
3 Difference and functional equations (39-XX)
3 Operations research, mathematical programming (90-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Abstract harmonic analysis (43-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
2 Systems theory; control (93-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year