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## Goldman, William M.

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 Author ID: goldman.william-m Published as: Goldman, W.; Goldman, W. M.; Goldman, William; Goldman, William M. Homepage: http://www2.math.umd.edu/~wmg/ External Links: MGP · Wikidata · GND
 Documents Indexed: 95 Publications since 1980, including 7 Books Reviewing Activity: 31 Reviews
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#### Co-Authors

 32 single-authored 11 Drumm, Todd A. 10 Charette, Virginie 8 Hirsch, Morris W. 7 Millson, John J. 4 Choi, Suhyoung 3 Brooks, Robert Wolfe 3 Fried, David 3 Kamishima, Yoshinobu 3 Labourie, François 3 Xia, Eugene Zhu 2 Barbot, Thierry 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 Burelle, Jean-Philippe 1 Cooper, Daryl 1 Darvishzadeh, Mehdi-Reza 1 Dumas, David 1 Forni, Giovanni 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 Lawton, Sean 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 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 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 Ergodic Theory and Dynamical Systems 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 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 1 Journal of Topology 1 Oxford Mathematical Monographs
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#### Fields

 64 Manifolds and cell complexes (57-XX) 60 Differential geometry (53-XX) 23 Topological groups, Lie groups (22-XX) 17 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) 8 Dynamical systems and ergodic theory (37-XX) 6 Algebraic geometry (14-XX) 6 Algebraic topology (55-XX) 5 General and overarching topics; collections (00-XX) 4 Geometry (51-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-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

86 Publications have been cited 1,741 times in 1,085 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
The deformation theory of representations of fundamental groups of compact Kähler manifolds. Zbl 0678.53059
Goldman, William M.; Millson, John J.
1988
Invariant functions on Lie groups and Hamiltonian flows of surface group representations. Zbl 0619.58021
Goldman, William M.
1986
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
Local rigidity of discrete groups acting on complex hyperbolic space. Zbl 0627.22012
Goldman, W. M.; Millson, J. J.
1987
Ergodic theory on moduli spaces. Zbl 0907.57009
Goldman, William M.
1997
Convex real projective structures on closed surfaces are closed. Zbl 0810.57005
Choi, Suhyoung; Goldman, William M.
1993
Geometric structures on manifolds and varieties of representations. Zbl 0659.57004
Goldman, William M.
1988
Trace coordinates on Fricke spaces of some simple hyperbolic surfaces. Zbl 1175.30043
Goldman, William M.
2009
The homotopy invariance of the Kuranishi space. Zbl 0707.32004
Goldman, William M.; Millson, John J.
1990
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
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 radiance obstruction and parallel forms on affine manifolds. Zbl 0561.57014
Goldman, William; Hirsch, Morris W.
1984
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
The complex-symplectic geometry of $$\text{SL}(2,\mathbb{C})$$-characters over surfaces. Zbl 1089.53060
Goldman, William M.
2004
A primer on the $$(2+1)$$ Einstein universe. Zbl 1154.53047
Barbot, Thierry; Charette, Virginie; Drumm, Todd; Goldman, William M.; Melnick, Karin
2008
Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space. Zbl 0762.51009
Goldman, William M.; Parker, John R.
1992
Complex hyperbolic ideal triangle groups. Zbl 0739.53055
Goldman, W. M.; Parker, J. R.
1992
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
The geometry of crooked planes. Zbl 0941.51029
Drumm, Todd A.; Goldman, William M.
1999
The deformation spaces of convex $$\mathbb R\mathbb P^2$$-structures on 2-orbifolds. Zbl 1086.57015
Choi, Suhyoung; Goldman, William M.
2005
Affine deformations of a three-holed sphere. Zbl 1202.57001
Charette, Virginie; Drumm, Todd; Goldman, William
2010
Mapping class group dynamics on surface group representations. Zbl 1304.57025
Goldman, William M.
2006
Flat Lorentz 3-manifolds and cocompact Fuchsian groups. Zbl 1039.53074
Goldman, William M.; Margulis, Gregory A.
2000
Affine manifolds and orbits of algebraic groups. Zbl 0591.57013
Goldman, William M.; Hirsch, Morris W.
1986
Characteristic classes and representations of discrete subgroups of Lie groups. Zbl 0493.57011
Goldman, William M.
1982
Locally homogeneous geometric manifolds. Zbl 1234.57001
Goldman, William M.
2011
Complex hyperbolic manifolds homotopy equivalent to a Riemann surface. Zbl 0982.32024
Goldman, William M.; Kapovich, Michael; Leeb, Bernhard
2001
The Godbillon-Vey invariant of transversely homogeneous foliations. Zbl 0548.57016
Brooks, Robert; Goldman, William
1984
Volumes in Seifert space. Zbl 0546.57003
Brooks, Robert; Goldman, William
1984
Finite-sided deformation spaces of complete affine 3-manifolds. Zbl 1297.30070
Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2014
Complete flat affine and Lorentzian manifolds. Zbl 1036.53021
Charette, Virginie; Drumm, Todd; Goldman, William; Morrill, Maria
2003
An ergodic action of the outer automorphism group of a free group. Zbl 1139.57002
Goldman, William M.
2007
The topology of the relative character varieties of a quadruply-punctured sphere. Zbl 0957.57003
Benedetto, Robert L.; Goldman, William M.
1999
Polynomial forms on affine manifolds. Zbl 0522.57022
Goldman, William M.; Hirsch, Morris W.
1982
Isospectrality of flat Lorentz 3-manifolds. Zbl 1036.53048
Drumm, Todd A.; Goldman, William M.
2001
Two examples of affine manifolds. Zbl 0461.53041
Goldman, William M.
1981
Proper affine deformations of the one-holed torus. Zbl 1366.53050
Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2016
Ergodicity of mapping class group actions on SU(2)-character varieties. Zbl 1283.22016
Goldman, William M.; Xia, Eugene Z.
2011
Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces. Zbl 1158.14001
Goldman, William M.; Xia, Eugene Z.
2008
Homological action of the modular group on some cubic moduli spaces. Zbl 1087.57001
Goldman, William M.; Neumann, Walter D.
2005
Affine Schottky groups and crooked tilings. Zbl 1161.57303
Charette, Virginie; Goldman, William M.
2000
The deformation theory of representations of fundamental groups of compact Kähler manifolds. Zbl 0663.53056
Goldman, William M.; Millson, John J.
1988
A generalization of Bieberbach’s theorem. Zbl 0469.53037
Goldman, William M.; Hirsch, Morris W.
1981
Affine manifolds and solvable groups. Zbl 0454.57006
Fried, D.; Goldman, W.; Hirsch, M. W.
1980
Topological tameness of Margulis spacetimes. Zbl 1369.53050
Choi, Suhyoung; Goldman, William
2017
Crooked halfspaces. Zbl 1308.53040
Burelle, Jean-Philippe; Charette, Virginie; Drumm, Todd A.; Goldman, William M.
2014
Conformal automorphisms and conformally flat manifolds. Zbl 0723.53007
Goldman, William M.; Kamishima, Yoshinobu
1991
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
A $$3$$-manifold with no real projective structure. Zbl 1362.57030
Cooper, Daryl; Goldman, William
2015
Crooked surfaces and anti-de Sitter geometry. Zbl 1350.57001
Goldman, William M.
2015
Energy of twisted harmonic maps of Riemann surfaces. Zbl 1137.57002
Goldman, William M.; Wentworth, Richard A.
2007
Crooked planes. Zbl 0849.51012
Drumm, Todd A.; Goldman, William M.
1995
Complex hyperbolic Kleinian groups. Zbl 0793.53069
Goldman, William M.
1993
On the polynomial cohomology of affine manifolds. Zbl 0485.58005
Goldman, William M.
1982
Flat bundles with solvable holonomy. II: Obstruction theory. Zbl 0483.55012
Goldman, William M.
1981
Flat bundles with solvable holonomy. Zbl 0474.55014
Goldman, William M.; Hirsch, Morris W.
1981
Geodesics in Margulis spacetimes. Zbl 1251.37041
Goldman, William M.; Labourie, François
2012
Is the deformation space of complete affine structures on the 2-torus smooth? Zbl 1152.57035
Baues, Oliver; Goldman, William M.
2005
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
Differential graded Lie algebras and singularities of level sets of momentum mappings. Zbl 0724.58028
Goldman, William M.; Millson, John J.
1990
Invariant measures for affine foliations. Zbl 0534.57014
Goldman, William M.; Hirsch, Morris W.; Levitt, Gilbert
1982
Action of the Johnson-Torelli group on representation varieties. Zbl 1244.57007
Goldman, William M.; Xia, Eugene Z.
2012
Higgs bundles and geometric structures on surfaces. Zbl 1223.14037
Goldman, William M.
2010
Recurrent geodesics in flat Lorentz 3-manifolds. Zbl 1059.57007
Charette, Virginie; Goldman, William M.; Jones, Catherine A.
2004
Topological rigidity of developing maps with applications to conformally flat structures. Zbl 0666.53018
Goldman, William M.; Kamishima, Yoshinobu
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
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
Aravinda, C. S. (ed.); Goldman, William M. (ed.); Gongopadhyay, Krishnendu (ed.); Lubotzky, Alexander (ed.); Mj, Mahan (ed.); Weaver, Anthony (ed.)
2015
Two papers which changed my life: Milnor’s seminal work on flat manifolds and bundles. Zbl 1327.53003
Goldman, William M.
2014
Stretching three-holed spheres and the Margulis invariant. Zbl 1208.53071
Charette, Virginie; Drumm, Todd A.; Goldman, William
2010
What is …a projective structure? Zbl 1109.53017
Goldman, William M.
2007
The mapping class group acts reducibly on $$\mathrm{SU}(n)$$-character varieties. Zbl 1137.53346
Goldman, William M.
2006
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
Goldman, William M. (ed.); Magid, Andy R. (ed.)
1988
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
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
A $$3$$-manifold with no real projective structure. Zbl 1362.57030
Cooper, Daryl; Goldman, William
2015
Crooked surfaces and anti-de Sitter geometry. Zbl 1350.57001
Goldman, William M.
2015
Geometry, groups and dynamics. ICTS program: groups, geometry and dynamics, Almora, India, December 3–16, 2012. Zbl 1318.30003
Aravinda, C. S. (ed.); Goldman, William M. (ed.); Gongopadhyay, Krishnendu (ed.); Lubotzky, Alexander (ed.); Mj, Mahan (ed.); Weaver, Anthony (ed.)
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
Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space. Zbl 0762.51009
Goldman, William M.; Parker, John R.
1992
Complex hyperbolic ideal triangle groups. Zbl 0739.53055
Goldman, W. M.; Parker, J. 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
Topological rigidity of developing maps with applications to conformally flat structures. Zbl 0666.53018
Goldman, William M.; Kamishima, Yoshinobu
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
Goldman, William M. (ed.); Magid, Andy R. (ed.)
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 fundamental group of a compact flat Lorentz space form is virtually polycyclic. Zbl 0546.53039
Goldman, William M.; Kamishima, Yoshinobu
1984
The radiance obstruction and parallel forms on affine manifolds. Zbl 0561.57014
Goldman, William; Hirsch, Morris W.
1984
The Godbillon-Vey invariant of transversely homogeneous foliations. Zbl 0548.57016
Brooks, Robert; Goldman, William
1984
Volumes in Seifert space. Zbl 0546.57003
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. II: Obstruction theory. Zbl 0483.55012
Goldman, William M.
1981
Flat bundles with solvable holonomy. Zbl 0474.55014
Goldman, William M.; Hirsch, Morris W.
1981
Affine manifolds and solvable groups. Zbl 0454.57006
Fried, D.; Goldman, W.; Hirsch, M. W.
1980
all top 5

#### Cited by 994 Authors

 39 Goldman, William M. 20 Biswas, Indranil 14 Labourie, François 14 Parker, John R. 13 Kim, Inkang 13 Schlenker, Jean-Marc 12 Dekimpe, Karel 12 Tan, Ser Peow 11 Charette, Virginie 11 Choi, Suhyoung 11 Falbel, Elisha 11 Kamishima, Yoshinobu 10 Gongopadhyay, Krishnendu 10 Jiang, Yueping 10 Millson, John J. 10 Sengupta, Ambar N. 10 Xie, Baohua 9 Barbot, Thierry 9 Lawton, Sean 8 Bonsante, Francesco 8 Cao, Wensheng 8 Danciger, Jeffrey 8 García-Prada, Oscar 8 Jeffrey, Lisa C. 8 Kuno, Yusuke 8 Manetti, Marco 8 Marché, Julien 8 Paulin, Frédéric 8 Porti, Joan 7 Drumm, Todd A. 7 Long, Darren D. 7 Parkkonen, Jouni 7 Wienhard, Anna Katharina 7 Zhang, Tengren 6 Alekseev, Anton Yu. 6 Baklouti, Ali 6 Bonahon, Francis 6 Boyom, Michel Nguiffo 6 Chekhov, Leonid O. 6 Hirsch, Morris W. 6 Huebschmann, Johannes 6 Kapovich, Michael 6 Kassel, Fanny 6 Margulis, Grigoriĭ Aleksandrovich 6 Marquis, Ludovic 6 Papadima, Ștefan 6 Simpson, Carlos Tschudi 6 Xia, Eugene Zhu 5 Andersen, Jørgen Ellegaard 5 Apanasov, Boris Nikolaevich 5 Ballas, Samuel A. 5 Benoist, Yves 5 Boalch, Philip P. 5 Cooper, Daryl 5 Derbez, Pierre 5 Frances, Charles 5 Guediri, Mohammed 5 Iozzi, Alessandra 5 Kawazumi, Nariya 5 Kim, YoungJu 5 Klingler, Bruno 5 Meusburger, Catherine 5 Musso, Emilio 5 Suciu, Alexander I. 5 Zhang, Ying 4 Baba, Shinpei 4 Bridgeman, Martin J. 4 Budur, Nero 4 Burger, Marc 4 Canary, Richard D. 4 Cohen, Frederick Ronald 4 Collier, Brian 4 Cunha, Heleno 4 Dumitrescu, Sorin 4 Fillastre, François 4 Fried, David 4 Frohman, Charles D. 4 Fu, Xi 4 Guéritaud, François 4 Gusevskii, Nikolay 4 Ito, Kentaro 4 Kamiya, Shigeyasu 4 Kim, Joonhyung 4 Kim, Sungwoon 4 King, Christopher K. 4 Kobayashi, Toshiyuki 4 Lee, Gye-Seon 4 Manturov, Vassiliĭ Olegovich 4 Mathews, Daniel V. 4 Mounoud, Pierre 4 Nicolodi, Lorenzo 4 Parsad, Shiv 4 Platis, Ioannis D. 4 Pridham, Jonathan Paul 4 Sambarino, Andrés 4 Schaposnik, Laura P. 4 Sepe, Daniele 4 Sikora, Adam S. 4 Soifer, Grigoriĭ Aleksandrovich 4 Sozen, Yasar ...and 894 more Authors
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#### Cited in 187 Serials

 89 Geometriae Dedicata 45 Geometry & Topology 40 Transactions of the American Mathematical Society 39 Duke Mathematical Journal 37 Advances in Mathematics 34 Inventiones Mathematicae 32 Communications in Mathematical Physics 30 Mathematische Annalen 29 Journal of Geometry and Physics 27 Proceedings of the American Mathematical Society 26 Annales de l’Institut Fourier 26 Topology and its Applications 26 Algebraic & Geometric Topology 21 Mathematische Zeitschrift 16 Journal of Algebra 15 International Journal of Mathematics 15 Differential Geometry and its Applications 15 Journal of Knot Theory and its Ramifications 14 Geometric and Functional Analysis. GAFA 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Publications Mathématiques 12 Proceedings of the Japan Academy. Series A 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Israel Journal of Mathematics 10 Bulletin of the American Mathematical Society. New Series 9 Journal of Pure and Applied Algebra 9 Annals of Mathematics. Second Series 8 Journal of Mathematical Physics 8 Annals of Global Analysis and Geometry 8 Journal of the American Mathematical Society 8 Conformal Geometry and Dynamics 7 Letters in Mathematical Physics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Ergodic Theory and Dynamical Systems 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Journal of Topology and Analysis 6 Theoretical and Mathematical Physics 6 Acta Mathematica 6 Osaka Journal of Mathematics 6 The Journal of Geometric Analysis 6 Linear Algebra and its Applications 6 Groups, Geometry, and Dynamics 5 Compositio Mathematica 5 Journal of Functional Analysis 5 Manuscripta Mathematica 5 Memoirs of the American Mathematical Society 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Forum Mathematicum 5 Journal of High Energy Physics 5 Journal of Topology 4 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Glasgow Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Indagationes Mathematicae. New Series 4 Journal of Algebraic Geometry 4 Journal of Mathematical Sciences (New York) 4 Transformation Groups 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 4 Proceedings of the Steklov Institute of Mathematics 4 Quantum Topology 4 Journal de l’École Polytechnique – Mathématiques 3 Communications in Algebra 3 General Relativity and Gravitation 3 Mathematical Notes 3 Nuclear Physics. B 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Nagoya Mathematical Journal 3 Siberian Mathematical Journal 3 Tohoku Mathematical Journal. Second Series 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Selecta Mathematica. New Series 3 Bulletin des Sciences Mathématiques 3 Living Reviews in Relativity 3 Annales Henri Poincaré 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Journal of the Institute of Mathematics of Jussieu 3 International Journal of Geometric Methods in Modern Physics 3 Kyoto Journal of Mathematics 3 European Journal of Mathematics 3 Annales Henri Lebesgue 2 International Journal of Modern Physics A 2 Indian Journal of Pure & Applied Mathematics 2 Journal d’Analyse Mathématique 2 Reviews in Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Journal of Geometry 2 Journal of the Korean Mathematical Society 2 Kodai Mathematical Journal 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Russian Mathematics ...and 87 more Serials
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#### Cited in 46 Fields

 423 Differential geometry (53-XX) 416 Manifolds and cell complexes (57-XX) 213 Group theory and generalizations (20-XX) 205 Several complex variables and analytic spaces (32-XX) 195 Topological groups, Lie groups (22-XX) 184 Algebraic geometry (14-XX) 152 Functions of a complex variable (30-XX) 102 Global analysis, analysis on manifolds (58-XX) 89 Dynamical systems and ergodic theory (37-XX) 72 Nonassociative rings and algebras (17-XX) 66 Geometry (51-XX) 60 Quantum theory (81-XX) 54 Algebraic topology (55-XX) 42 Relativity and gravitational theory (83-XX) 33 Number theory (11-XX) 31 Category theory; homological algebra (18-XX) 30 Associative rings and algebras (16-XX) 19 Commutative algebra (13-XX) 19 Convex and discrete geometry (52-XX) 14 Ordinary differential equations (34-XX) 11 Mechanics of particles and systems (70-XX) 10 Partial differential equations (35-XX) 8 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Functional analysis (46-XX) 6 Measure and integration (28-XX) 6 General topology (54-XX) 5 Special functions (33-XX) 4 Operator theory (47-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 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

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