## Goldman, William M.

Compute Distance To:
 Author ID: goldman.william-m Published as: Goldman, William M.; Goldman, William; Goldman, W. M.; Goldman, W. more...less Homepage: http://www2.math.umd.edu/~wmg/ External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 95 Publications since 1980, including 3 Books 4 Contributions as Editor Reviewing Activity: 32 Reviews Co-Authors: 58 Co-Authors with 67 Joint Publications 1,115 Co-Co-Authors
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### Co-Authors

 32 single-authored 13 Drumm, Todd A. 11 Charette, Virginie 8 Hirsch, Morris W. 7 Millson, John J. 5 Choi, Suhyoung 4 Xia, Eugene Zhu 3 Brooks, Robert Wolfe 3 Fried, David 3 Kamishima, Yoshinobu 3 Labourie, François 2 Barbot, Thierry 2 Burelle, Jean-Philippe 2 Lawton, Sean 2 Margulis, Grigoriĭ Aleksandrovich 2 Parker, John R. 2 Tan, Ser Peow 1 Andersson, Lars Åke 1 Aravinda, C. S. 1 Athreya, Jayadev S. 1 Baues, Oliver 1 Benedetti, Riccardo 1 Benedetto, Robert L. 1 Bonsante, Francesco 1 Cooper, Daryl 1 Danciger, Jefrey 1 Darvishzadeh, Mehdi-Reza 1 Dumas, David 1 Forni, Giovanni 1 Francoeur, Dominik 1 García-Prada, Oscar 1 Ginzburg, Viktor L’vovich 1 Gongopadhyay, Krishnendu 1 Grigorian, Sergey 1 Guzman, Rosemary K. 1 Hieronymi, Philipp 1 Jones, Catherine A. 1 Kapovich, Michael 1 Leeb, Bernhard 1 Levitt, Gilbert 1 Lubotzky, Alexander 1 Lukyanenko, Anton 1 Magid, Andy Roy 1 McShane, Greg 1 Melnick, Karin 1 Miranda, Eva 1 Mj, Mahan 1 Morrill, Maria 1 Muñoz Velázquez, Vicente 1 Neumann, Walter David 1 Scannell, Kevin P. 1 Schlenker, Jean-Marc 1 Series, Caroline 1 Smilga, Ilia 1 Stantchev, George 1 Tyson, Jeremy T. 1 Weaver, Anthony 1 Wentworth, Richard A. 1 Wilson, Aaron
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### Serials

 5 Inventiones Mathematicae 5 Journal of Differential Geometry 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 4 Geometriae Dedicata 4 Bulletin of the American Mathematical Society. New Series 2 Advances in Mathematics 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Ergodic Theory and Dynamical Systems 2 Notices of the American Mathematical Society 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Contemporary Mathematics 1 Communications in Mathematical Physics 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of the Korean Mathematical Society 1 Topology 1 Forum Mathematicum 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Communications in Analysis and Geometry 1 Mathematical Research Letters 1 Electronic Research Announcements of the American Mathematical Society 1 Transformation Groups 1 Advances in Geometry 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 1 Journal of Topology 1 Oxford Mathematical Monographs
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### Fields

 66 Manifolds and cell complexes (57-XX) 61 Differential geometry (53-XX) 24 Topological groups, Lie groups (22-XX) 18 Group theory and generalizations (20-XX) 16 Functions of a complex variable (30-XX) 16 Several complex variables and analytic spaces (32-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Algebraic geometry (14-XX) 6 Algebraic topology (55-XX) 5 General and overarching topics; collections (00-XX) 4 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

88 Publications have been cited 2,012 times in 1,258 Documents Cited by Year
The symplectic nature of fundamental groups of surfaces. Zbl 0574.32032
Goldman, William M.
1984
Complex hyperbolic geometry. Zbl 0939.32024
Goldman, William M.
1999
Invariant functions on Lie groups and Hamiltonian flows of surface group representations. Zbl 0619.58021
Goldman, William M.
1986
The deformation theory of representations of fundamental groups of compact Kähler manifolds. Zbl 0678.53059
Goldman, William M.; Millson, John J.
1988
Topological components of spaces of representations. Zbl 0655.57019
Goldman, William M.
1988
Three-dimensional affine crystallographic groups. Zbl 0571.57030
Fried, David; Goldman, William M.
1983
Convex real projective structures on compact surfaces. Zbl 0711.53033
Goldman, William M.
1990
Affine manifolds with nilpotent holonomy. Zbl 0516.57014
Fried, David; Goldman, William; Hirsch, Morris W.
1981
Projective structures with Fuchsian holonomy. Zbl 0595.57012
Goldman, William M.
1987
The modular group action on real $$SL(2)$$-characters of a one-holed torus. Zbl 1037.57001
Goldman, William M.
2003
Convex real projective structures on closed surfaces are closed. Zbl 0810.57005
Choi, Suhyoung; Goldman, William M.
1993
Ergodic theory on moduli spaces. Zbl 0907.57009
Goldman, William M.
1997
Local rigidity of discrete groups acting on complex hyperbolic space. Zbl 0627.22012
Goldman, W. M.; Millson, J. J.
1987
Trace coordinates on Fricke spaces of some simple hyperbolic surfaces. Zbl 1175.30043
Goldman, William M.
2009
Geometric structures on manifolds and varieties of representations. Zbl 0659.57004
Goldman, William M.
1988
The radiance obstruction and parallel forms on affine manifolds. Zbl 0561.57014
Goldman, William; Hirsch, Morris W.
1984
The homotopy invariance of the Kuranishi space. Zbl 0707.32004
Goldman, William M.; Millson, John J.
1990
Notes on a paper of Mess. Zbl 1126.53042
Andersson, Lars; Barbot, Thierry; Benedetti, Riccardo; Bonsante, Francesco; Goldman, William M.; Labourie, François; Scannell, Kevin P.; Schlenker, Jean-Marc
2007
The fundamental group of a compact flat Lorentz space form is virtually polycyclic. Zbl 0546.53039
Goldman, William M.; Kamishima, Yoshinobu
1984
Nonstandard Lorentz space forms. Zbl 0591.53051
Goldman, William M.
1985
The classification of real projective structures on compact surfaces. Zbl 0866.57001
Choi, Suhyoung; Goldman, William M.
1997
Complete flat Lorentz 3-manifolds with free fundamental group. Zbl 0704.57026
Drumm, Todd A.; Goldman, William M.
1990
Complex hyperbolic ideal triangle groups. Zbl 0739.53055
Goldman, W. M.; Parker, J. R.
1992
A primer on the $$(2+1)$$ Einstein universe. Zbl 1154.53047
Barbot, Thierry; Charette, Virginie; Drumm, Todd; Goldman, William M.; Melnick, Karin
2008
The complex-symplectic geometry of $$\text{SL}(2,\mathbb{C})$$-characters over surfaces. Zbl 1089.53060
Goldman, William M.
2004
Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3-manifolds. Zbl 0518.53041
Goldman, William M.
1983
Proper affine actions and geodesic flows of hyperbolic surfaces. Zbl 1193.57001
Goldman, William M.; Labourie, François; Margulis, Gregory
2009
Affine deformations of a three-holed sphere. Zbl 1202.57001
Charette, Virginie; Drumm, Todd; Goldman, William
2010
Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space. Zbl 0762.51009
Goldman, William M.; Parker, John R.
1992
The geometry of crooked planes. Zbl 0941.51029
Drumm, Todd A.; Goldman, William M.
1999
Mapping class group dynamics on surface group representations. Zbl 1304.57025
Goldman, William M.
2006
Characteristic classes and representations of discrete subgroups of Lie groups. Zbl 0493.57011
Goldman, William M.
1982
Affine manifolds and orbits of algebraic groups. Zbl 0591.57013
Goldman, William M.; Hirsch, Morris W.
1986
The deformation spaces of convex $$\mathbb R\mathbb P^2$$-structures on 2-orbifolds. Zbl 1086.57015
Choi, Suhyoung; Goldman, William M.
2005
Locally homogeneous geometric manifolds. Zbl 1234.57001
Goldman, William M.
2011
Flat Lorentz 3-manifolds and cocompact Fuchsian groups. Zbl 1039.53074
Goldman, William M.; Margulis, Gregory A.
2000
The topology of the relative character varieties of a quadruply-punctured sphere. Zbl 0957.57003
Benedetto, Robert L.; Goldman, William M.
1999
Finite-sided deformation spaces of complete affine 3-manifolds. Zbl 1297.30070
Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2014
Volumes in Seifert space. Zbl 0546.57003
Brooks, Robert; Goldman, William
1984
The Godbillon-Vey invariant of transversely homogeneous foliations. Zbl 0548.57016
Brooks, Robert; Goldman, William
1984
Complex hyperbolic manifolds homotopy equivalent to a Riemann surface. Zbl 0982.32024
Goldman, William M.; Kapovich, Michael; Leeb, Bernhard
2001
An ergodic action of the outer automorphism group of a free group. Zbl 1139.57002
Goldman, William M.
2007
Complete flat affine and Lorentzian manifolds. Zbl 1036.53021
Charette, Virginie; Drumm, Todd; Goldman, William; Morrill, Maria
2003
Two examples of affine manifolds. Zbl 0461.53041
Goldman, William M.
1981
Polynomial forms on affine manifolds. Zbl 0522.57022
Goldman, William M.; Hirsch, Morris W.
1982
Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces. Zbl 1158.14001
Goldman, William M.; Xia, Eugene Z.
2008
Crooked surfaces and anti-de Sitter geometry. Zbl 1350.57001
Goldman, William M.
2015
Topological tameness of Margulis spacetimes. Zbl 1369.53050
Choi, Suhyoung; Goldman, William
2017
Isospectrality of flat Lorentz 3-manifolds. Zbl 1036.53048
Drumm, Todd A.; Goldman, William M.
2001
Ergodicity of mapping class group actions on SU(2)-character varieties. Zbl 1283.22016
Goldman, William M.; Xia, Eugene Z.
2011
Proper affine deformations of the one-holed torus. Zbl 1366.53050
Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2016
Affine manifolds and solvable groups. Zbl 0454.57006
Fried, D.; Goldman, W.; Hirsch, M. W.
1980
A generalization of Bieberbach’s theorem. Zbl 0469.53037
Goldman, William M.; Hirsch, Morris W.
1981
Affine Schottky groups and crooked tilings. Zbl 1161.57303
Charette, Virginie; Goldman, William M.
2000
Homological action of the modular group on some cubic moduli spaces. Zbl 1087.57001
Goldman, William M.; Neumann, Walter D.
2005
Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane. Zbl 1450.57007
Goldman, William; McShane, Greg; Stantchev, George; Tan, Ser Peow
2019
The deformation theory of representations of fundamental groups of compact Kähler manifolds. Zbl 0663.53056
Goldman, William M.; Millson, John J.
1988
Crooked halfspaces. Zbl 1308.53040
Burelle, Jean-Philippe; Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2014
A $$3$$-manifold with no real projective structure. Zbl 1362.57030
Cooper, Daryl; Goldman, William
2015
Conformal automorphisms and conformally flat manifolds. Zbl 0723.53007
Goldman, William M.; Kamishima, Yoshinobu
1991
Flat bundles with solvable holonomy. Zbl 0474.55014
Goldman, William M.; Hirsch, Morris W.
1981
Flat bundles with solvable holonomy. II: Obstruction theory. Zbl 0483.55012
Goldman, William M.
1981
On the polynomial cohomology of affine manifolds. Zbl 0485.58005
Goldman, William M.
1982
Energy of twisted harmonic maps of Riemann surfaces. Zbl 1137.57002
Goldman, William M.; Wentworth, Richard A.
2007
Complex hyperbolic Kleinian groups. Zbl 0793.53069
Goldman, William M.
1993
Crooked planes. Zbl 0849.51012
Drumm, Todd A.; Goldman, William M.
1995
Geodesics in Margulis spacetimes. Zbl 1251.37041
Goldman, William M.; Labourie, François
2012
The Margulis invariant of isometric actions on Minkowski $$(2+1)$$-space. Zbl 1013.53047
Goldman, William M.
2002
Deformation spaces of convex real-projective structures and hyperbolic affine structures. Zbl 0874.53025
1996
Is the deformation space of complete affine structures on the 2-torus smooth? Zbl 1152.57035
Baues, Oliver; Goldman, William M.
2005
Action of the Johnson-Torelli group on representation varieties. Zbl 1244.57007
Goldman, William M.; Xia, Eugene Z.
2012
Two papers which changed my life: Milnor’s seminal work on flat manifolds and bundles. Zbl 1327.53003
Goldman, William M.
2014
Invariant measures for affine foliations. Zbl 0534.57014
Goldman, William M.; Hirsch, Morris W.; Levitt, Gilbert
1982
Differential graded Lie algebras and singularities of level sets of momentum mappings. Zbl 0724.58028
Goldman, William M.; Millson, John J.
1990
Recurrent geodesics in flat Lorentz 3-manifolds. Zbl 1059.57007
Charette, Virginie; Goldman, William M.; Jones, Catherine A.
2004
What is …a projective structure? Zbl 1109.53017
Goldman, William M.
2007
Representations of fundamental groups of surfaces. Zbl 0575.57027
Goldman, William M.
1985
Geometry, groups and dynamics. ICTS program: groups, geometry and dynamics, Almora, India, December 3–16, 2012. Zbl 1318.30003
2015
Flat affine, projective and conformal structures on manifolds: a historical perspective. Zbl 1454.57002
Goldman, William M.
2019
The symplectic geometry of affine connections on surfaces. Zbl 0692.53015
Goldman, William M.
1990
Geometry of group representations. Proceedings of the AMS-IMS-SIAM joint summer research conference held July 5-11, 1987 in Boulder, Colorado, with support from the National Science Foundation. Zbl 0651.00007
1988
Deformations of flat bundles over Kähler manifolds. Zbl 0618.53051
Goldman, William M.; Millson, John J.
1987
Eichler-Shimura homology and the finite generation of cusp forms by hyperbolic Poincaré series. Zbl 0618.10021
Goldman, William M.; Millson, John J.
1986
Topological rigidity of developing maps with applications to conformally flat structures. Zbl 0666.53018
Goldman, William M.; Kamishima, Yoshinobu
1988
Higgs bundles and geometric structures on surfaces. Zbl 1223.14037
Goldman, William M.
2010
Stretching three-holed spheres and the Margulis invariant. Zbl 1208.53071
Charette, Virginie; Drumm, Todd A.; Goldman, William
2010
The mapping class group acts reducibly on $$\mathrm{SU}(n)$$-character varieties. Zbl 1137.53346
Goldman, William M.
2006
The mapping class group action on $$\mathrm{SU}(3)$$-character varieties. Zbl 1472.22013
Goldman, William M.; Lawton, Sean; Xia, Eugene Z.
2021
The mapping class group action on $$\mathrm{SU}(3)$$-character varieties. Zbl 1472.22013
Goldman, William M.; Lawton, Sean; Xia, Eugene Z.
2021
Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane. Zbl 1450.57007
Goldman, William; McShane, Greg; Stantchev, George; Tan, Ser Peow
2019
Flat affine, projective and conformal structures on manifolds: a historical perspective. Zbl 1454.57002
Goldman, William M.
2019
Topological tameness of Margulis spacetimes. Zbl 1369.53050
Choi, Suhyoung; Goldman, William
2017
Proper affine deformations of the one-holed torus. Zbl 1366.53050
Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2016
Crooked surfaces and anti-de Sitter geometry. Zbl 1350.57001
Goldman, William M.
2015
A $$3$$-manifold with no real projective structure. Zbl 1362.57030
Cooper, Daryl; Goldman, William
2015
Geometry, groups and dynamics. ICTS program: groups, geometry and dynamics, Almora, India, December 3–16, 2012. Zbl 1318.30003
2015
Finite-sided deformation spaces of complete affine 3-manifolds. Zbl 1297.30070
Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2014
Crooked halfspaces. Zbl 1308.53040
Burelle, Jean-Philippe; Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2014
Two papers which changed my life: Milnor’s seminal work on flat manifolds and bundles. Zbl 1327.53003
Goldman, William M.
2014
Geodesics in Margulis spacetimes. Zbl 1251.37041
Goldman, William M.; Labourie, François
2012
Action of the Johnson-Torelli group on representation varieties. Zbl 1244.57007
Goldman, William M.; Xia, Eugene Z.
2012
Locally homogeneous geometric manifolds. Zbl 1234.57001
Goldman, William M.
2011
Ergodicity of mapping class group actions on SU(2)-character varieties. Zbl 1283.22016
Goldman, William M.; Xia, Eugene Z.
2011
Affine deformations of a three-holed sphere. Zbl 1202.57001
Charette, Virginie; Drumm, Todd; Goldman, William
2010
Higgs bundles and geometric structures on surfaces. Zbl 1223.14037
Goldman, William M.
2010
Stretching three-holed spheres and the Margulis invariant. Zbl 1208.53071
Charette, Virginie; Drumm, Todd A.; Goldman, William
2010
Trace coordinates on Fricke spaces of some simple hyperbolic surfaces. Zbl 1175.30043
Goldman, William M.
2009
Proper affine actions and geodesic flows of hyperbolic surfaces. Zbl 1193.57001
Goldman, William M.; Labourie, François; Margulis, Gregory
2009
A primer on the $$(2+1)$$ Einstein universe. Zbl 1154.53047
Barbot, Thierry; Charette, Virginie; Drumm, Todd; Goldman, William M.; Melnick, Karin
2008
Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces. Zbl 1158.14001
Goldman, William M.; Xia, Eugene Z.
2008
Notes on a paper of Mess. Zbl 1126.53042
Andersson, Lars; Barbot, Thierry; Benedetti, Riccardo; Bonsante, Francesco; Goldman, William M.; Labourie, François; Scannell, Kevin P.; Schlenker, Jean-Marc
2007
An ergodic action of the outer automorphism group of a free group. Zbl 1139.57002
Goldman, William M.
2007
Energy of twisted harmonic maps of Riemann surfaces. Zbl 1137.57002
Goldman, William M.; Wentworth, Richard A.
2007
What is …a projective structure? Zbl 1109.53017
Goldman, William M.
2007
Mapping class group dynamics on surface group representations. Zbl 1304.57025
Goldman, William M.
2006
The mapping class group acts reducibly on $$\mathrm{SU}(n)$$-character varieties. Zbl 1137.53346
Goldman, William M.
2006
The deformation spaces of convex $$\mathbb R\mathbb P^2$$-structures on 2-orbifolds. Zbl 1086.57015
Choi, Suhyoung; Goldman, William M.
2005
Homological action of the modular group on some cubic moduli spaces. Zbl 1087.57001
Goldman, William M.; Neumann, Walter D.
2005
Is the deformation space of complete affine structures on the 2-torus smooth? Zbl 1152.57035
Baues, Oliver; Goldman, William M.
2005
The complex-symplectic geometry of $$\text{SL}(2,\mathbb{C})$$-characters over surfaces. Zbl 1089.53060
Goldman, William M.
2004
Recurrent geodesics in flat Lorentz 3-manifolds. Zbl 1059.57007
Charette, Virginie; Goldman, William M.; Jones, Catherine A.
2004
The modular group action on real $$SL(2)$$-characters of a one-holed torus. Zbl 1037.57001
Goldman, William M.
2003
Complete flat affine and Lorentzian manifolds. Zbl 1036.53021
Charette, Virginie; Drumm, Todd; Goldman, William; Morrill, Maria
2003
The Margulis invariant of isometric actions on Minkowski $$(2+1)$$-space. Zbl 1013.53047
Goldman, William M.
2002
Complex hyperbolic manifolds homotopy equivalent to a Riemann surface. Zbl 0982.32024
Goldman, William M.; Kapovich, Michael; Leeb, Bernhard
2001
Isospectrality of flat Lorentz 3-manifolds. Zbl 1036.53048
Drumm, Todd A.; Goldman, William M.
2001
Flat Lorentz 3-manifolds and cocompact Fuchsian groups. Zbl 1039.53074
Goldman, William M.; Margulis, Gregory A.
2000
Affine Schottky groups and crooked tilings. Zbl 1161.57303
Charette, Virginie; Goldman, William M.
2000
Complex hyperbolic geometry. Zbl 0939.32024
Goldman, William M.
1999
The geometry of crooked planes. Zbl 0941.51029
Drumm, Todd A.; Goldman, William M.
1999
The topology of the relative character varieties of a quadruply-punctured sphere. Zbl 0957.57003
Benedetto, Robert L.; Goldman, William M.
1999
Ergodic theory on moduli spaces. Zbl 0907.57009
Goldman, William M.
1997
The classification of real projective structures on compact surfaces. Zbl 0866.57001
Choi, Suhyoung; Goldman, William M.
1997
Deformation spaces of convex real-projective structures and hyperbolic affine structures. Zbl 0874.53025
1996
Crooked planes. Zbl 0849.51012
Drumm, Todd A.; Goldman, William M.
1995
Convex real projective structures on closed surfaces are closed. Zbl 0810.57005
Choi, Suhyoung; Goldman, William M.
1993
Complex hyperbolic Kleinian groups. Zbl 0793.53069
Goldman, William M.
1993
Complex hyperbolic ideal triangle groups. Zbl 0739.53055
Goldman, W. M.; Parker, J. R.
1992
Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space. Zbl 0762.51009
Goldman, William M.; Parker, John R.
1992
Conformal automorphisms and conformally flat manifolds. Zbl 0723.53007
Goldman, William M.; Kamishima, Yoshinobu
1991
Convex real projective structures on compact surfaces. Zbl 0711.53033
Goldman, William M.
1990
The homotopy invariance of the Kuranishi space. Zbl 0707.32004
Goldman, William M.; Millson, John J.
1990
Complete flat Lorentz 3-manifolds with free fundamental group. Zbl 0704.57026
Drumm, Todd A.; Goldman, William M.
1990
Differential graded Lie algebras and singularities of level sets of momentum mappings. Zbl 0724.58028
Goldman, William M.; Millson, John J.
1990
The symplectic geometry of affine connections on surfaces. Zbl 0692.53015
Goldman, William M.
1990
The deformation theory of representations of fundamental groups of compact Kähler manifolds. Zbl 0678.53059
Goldman, William M.; Millson, John J.
1988
Topological components of spaces of representations. Zbl 0655.57019
Goldman, William M.
1988
Geometric structures on manifolds and varieties of representations. Zbl 0659.57004
Goldman, William M.
1988
The deformation theory of representations of fundamental groups of compact Kähler manifolds. Zbl 0663.53056
Goldman, William M.; Millson, John J.
1988
Geometry of group representations. Proceedings of the AMS-IMS-SIAM joint summer research conference held July 5-11, 1987 in Boulder, Colorado, with support from the National Science Foundation. Zbl 0651.00007
1988
Topological rigidity of developing maps with applications to conformally flat structures. Zbl 0666.53018
Goldman, William M.; Kamishima, Yoshinobu
1988
Projective structures with Fuchsian holonomy. Zbl 0595.57012
Goldman, William M.
1987
Local rigidity of discrete groups acting on complex hyperbolic space. Zbl 0627.22012
Goldman, W. M.; Millson, J. J.
1987
Deformations of flat bundles over Kähler manifolds. Zbl 0618.53051
Goldman, William M.; Millson, John J.
1987
Invariant functions on Lie groups and Hamiltonian flows of surface group representations. Zbl 0619.58021
Goldman, William M.
1986
Affine manifolds and orbits of algebraic groups. Zbl 0591.57013
Goldman, William M.; Hirsch, Morris W.
1986
Eichler-Shimura homology and the finite generation of cusp forms by hyperbolic Poincaré series. Zbl 0618.10021
Goldman, William M.; Millson, John J.
1986
Nonstandard Lorentz space forms. Zbl 0591.53051
Goldman, William M.
1985
Representations of fundamental groups of surfaces. Zbl 0575.57027
Goldman, William M.
1985
The symplectic nature of fundamental groups of surfaces. Zbl 0574.32032
Goldman, William M.
1984
The radiance obstruction and parallel forms on affine manifolds. Zbl 0561.57014
Goldman, William; Hirsch, Morris W.
1984
The fundamental group of a compact flat Lorentz space form is virtually polycyclic. Zbl 0546.53039
Goldman, William M.; Kamishima, Yoshinobu
1984
Volumes in Seifert space. Zbl 0546.57003
Brooks, Robert; Goldman, William
1984
The Godbillon-Vey invariant of transversely homogeneous foliations. Zbl 0548.57016
Brooks, Robert; Goldman, William
1984
Three-dimensional affine crystallographic groups. Zbl 0571.57030
Fried, David; Goldman, William M.
1983
Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3-manifolds. Zbl 0518.53041
Goldman, William M.
1983
Characteristic classes and representations of discrete subgroups of Lie groups. Zbl 0493.57011
Goldman, William M.
1982
Polynomial forms on affine manifolds. Zbl 0522.57022
Goldman, William M.; Hirsch, Morris W.
1982
On the polynomial cohomology of affine manifolds. Zbl 0485.58005
Goldman, William M.
1982
Invariant measures for affine foliations. Zbl 0534.57014
Goldman, William M.; Hirsch, Morris W.; Levitt, Gilbert
1982
Affine manifolds with nilpotent holonomy. Zbl 0516.57014
Fried, David; Goldman, William; Hirsch, Morris W.
1981
Two examples of affine manifolds. Zbl 0461.53041
Goldman, William M.
1981
A generalization of Bieberbach’s theorem. Zbl 0469.53037
Goldman, William M.; Hirsch, Morris W.
1981
Flat bundles with solvable holonomy. Zbl 0474.55014
Goldman, William M.; Hirsch, Morris W.
1981
Flat bundles with solvable holonomy. II: Obstruction theory. Zbl 0483.55012
Goldman, William M.
1981
Affine manifolds and solvable groups. Zbl 0454.57006
Fried, D.; Goldman, W.; Hirsch, M. W.
1980
all top 5

### Cited by 1,108 Authors

 42 Goldman, William M. 26 Biswas, Indranil 17 Kim, Inkang 16 Parker, John R. 14 Labourie, François 14 Tan, Ser Peow 13 Schlenker, Jean-Marc 12 Charette, Virginie 12 Choi, Suhyoung 12 Dekimpe, Karel 12 Falbel, Elisha 12 Gongopadhyay, Krishnendu 11 Kamishima, Yoshinobu 11 Lawton, Sean 11 Paulin, Frédéric 11 Xie, Baohua 10 Barbot, Thierry 10 Jeffrey, Lisa Claire 10 Jiang, Yueping 10 Kuno, Yusuke 10 Manetti, Marco 10 Millson, John J. 10 Parkkonen, Jouni 10 Sengupta, Ambar N. 9 Bonsante, Francesco 9 Porti, Joan 8 Cao, Wensheng 8 Danciger, Jeffrey 8 Drumm, Todd A. 8 García-Prada, Oscar 8 Marché, Julien 8 Zhang, Tengren 7 Alekseev, Anton Yur’evich 7 Baklouti, Ali 7 Chekhov, Leonid O. 7 Kapovich, Michael 7 Long, Darren D. 7 Wienhard, Anna Katharina 7 Xia, Eugene Zhu 6 Bonahon, Francis 6 Boyom, Michel Nguiffo 6 Burelle, Jean-Philippe 6 Dumitrescu, Sorin 6 Frances, Charles 6 Hirsch, Morris W. 6 Huebschmann, Johannes 6 Iozzi, Alessandra 6 Kassel, Fanny 6 Kawazumi, Nariya 6 Kim, Sungwoon 6 Kim, YoungJu 6 Margulis, Grigoriĭ Aleksandrovich 6 Marquis, Ludovic 6 Meusburger, Catherine 6 Papadima, Ștefan 6 Simpson, Carlos Tschudi 6 Sozen, Yasar 6 Turaev, Vladimir Georgievich 5 Andersen, Jørgen Ellegaard 5 Apanasov, Boris Nikolaevich 5 Baba, Shinpei 5 Ballas, Samuel A. 5 Benoist, Yves 5 Boalch, Philip P. 5 Burger, Marc 5 Cooper, Daryl 5 Derbez, Pierre 5 Dumas, David 5 Fillastre, François 5 Fu, Xi 5 Guediri, Mohammed 5 Kalane, Sagar Balasheb 5 Kim, Joonhyung 5 Klingler, Bruno 5 Musso, Emilio 5 Platis, Ioannis Dimou 5 Pridham, Jonathan Paul 5 Smilga, Ilia 5 Suciu, Alexander I. 5 Wang, Jieyan 5 Whang, Junho Peter 5 Zhang, Ying 4 Bertola, Marco 4 Bradlow, Steven B. 4 Bridgeman, Martin J. 4 Budur, Nero 4 Burde, Dietrich 4 Canary, Richard D. 4 Cohen, Frederick Ronald 4 Collier, Brian 4 Cunha, Heleno 4 Deroin, Bertrand 4 Fried, David 4 Frohman, Charles D. 4 Guéritaud, François 4 Gupta, Subhojoy 4 Gusevskii, Nikolay 4 Heller, Sebastian Gregor 4 Ito, Kentaro 4 Kamiya, Shigeyasu ...and 1,008 more Authors
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### Cited in 207 Serials

 101 Geometriae Dedicata 51 Geometry & Topology 48 Advances in Mathematics 43 Transactions of the American Mathematical Society 40 Duke Mathematical Journal 37 Communications in Mathematical Physics 35 Inventiones Mathematicae 35 Mathematische Annalen 30 Journal of Geometry and Physics 29 Algebraic & Geometric Topology 28 Proceedings of the American Mathematical Society 28 Topology and its Applications 27 Annales de l’Institut Fourier 26 Mathematische Zeitschrift 20 International Journal of Mathematics 18 Geometric and Functional Analysis. GAFA 17 Journal of Algebra 17 Journal of Knot Theory and its Ramifications 15 Differential Geometry and its Applications 14 Mathematical Proceedings of the Cambridge Philosophical Society 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Publications Mathématiques 12 Proceedings of the Japan Academy. Series A 12 Ergodic Theory and Dynamical Systems 12 Bulletin of the American Mathematical Society. New Series 11 Annals of Global Analysis and Geometry 10 Israel Journal of Mathematics 10 The Journal of Geometric Analysis 9 Journal of Pure and Applied Algebra 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Conformal Geometry and Dynamics 9 Annals of Mathematics. Second Series 9 Journal of High Energy Physics 8 Journal of Mathematical Physics 8 Journal of the American Mathematical Society 8 Linear Algebra and its Applications 8 Journal of Topology and Analysis 7 Letters in Mathematical Physics 7 Theoretical and Mathematical Physics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Memoirs of the American Mathematical Society 7 Groups, Geometry, and Dynamics 6 Acta Mathematica 6 Compositio Mathematica 6 Osaka Journal of Mathematics 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Forum Mathematicum 6 Journal of the European Mathematical Society (JEMS) 5 Journal of Mathematical Analysis and Applications 5 Journal of Functional Analysis 5 Manuscripta Mathematica 5 Journal of Algebraic Geometry 5 Journal of Mathematical Sciences (New York) 5 Selecta Mathematica. New Series 5 Transformation Groups 5 Journal of Topology 5 Quantum Topology 4 Bulletin of the Australian Mathematical Society 4 Glasgow Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Indagationes Mathematicae. New Series 4 Communications in Contemporary Mathematics 4 Proceedings of the Steklov Institute of Mathematics 4 Journal de l’École Polytechnique – Mathématiques 4 Annales Henri Lebesgue 3 Classical and Quantum Gravity 3 Communications in Algebra 3 General Relativity and Gravitation 3 Mathematical Notes 3 Nuclear Physics. B 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Bulletin de la Société Mathématique de France 3 Nagoya Mathematical Journal 3 Siberian Mathematical Journal 3 Tôhoku Mathematical Journal. Second Series 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Experimental Mathematics 3 Turkish Journal of Mathematics 3 Bulletin des Sciences Mathématiques 3 Living Reviews in Relativity 3 Annales Henri Poincaré 3 Advances in Geometry 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Journal of the Institute of Mathematics of Jussieu 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 International Journal of Geometric Methods in Modern Physics 3 Kyoto Journal of Mathematics 3 European Journal of Mathematics 3 Complex Manifolds 2 International Journal of Modern Physics A 2 Indian Journal of Pure & Applied Mathematics 2 Journal d’Analyse Mathématique 2 Russian Mathematical Surveys 2 Reviews in Mathematical Physics 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics ...and 107 more Serials
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### Cited in 48 Fields

 483 Differential geometry (53-XX) 472 Manifolds and cell complexes (57-XX) 247 Group theory and generalizations (20-XX) 236 Several complex variables and analytic spaces (32-XX) 230 Algebraic geometry (14-XX) 227 Topological groups, Lie groups (22-XX) 180 Functions of a complex variable (30-XX) 118 Global analysis, analysis on manifolds (58-XX) 111 Dynamical systems and ergodic theory (37-XX) 85 Nonassociative rings and algebras (17-XX) 79 Geometry (51-XX) 75 Quantum theory (81-XX) 61 Algebraic topology (55-XX) 46 Number theory (11-XX) 46 Relativity and gravitational theory (83-XX) 37 Associative rings and algebras (16-XX) 36 Category theory; homological algebra (18-XX) 22 Commutative algebra (13-XX) 21 Convex and discrete geometry (52-XX) 20 Ordinary differential equations (34-XX) 14 Mechanics of particles and systems (70-XX) 12 Partial differential equations (35-XX) 11 Combinatorics (05-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Functional analysis (46-XX) 7 Measure and integration (28-XX) 6 Special functions (33-XX) 6 Operator theory (47-XX) 6 General topology (54-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 $$K$$-theory (19-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

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