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Schoen, Richard Melvin

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Author ID: schoen.richard-m Recent zbMATH articles by "Schoen, Richard Melvin"
Published as: Schoen, R.; Schoen, R. M.; Schoen, Richard; Schoen, Richard M.
Homepage: https://www.math.uci.edu/people/richard-schoen
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Awards: Wolf Prize (2017)
Documents Indexed: 101 Publications since 1975, including 11 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 5,197 times in 3,541 Documents Cited by Year
Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028
Schoen, Richard
389
1984
Lectures on differential geometry. Zbl 0830.53001
Schoen, Richard; Yau, Shing-Tung
377
1994
On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045
Schoen, Richard; Yau, Shing-Tung
311
1979
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
264
1982
The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060
Fischer-Colbrie, Doris; Schoen, Richard
237
1980
Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038
Schoen, Richard; Yau, Shing-Tung
192
1988
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
189
1983
Proof of the positive mass theorem. II. Zbl 0494.53028
Schoen, Richard; Yau, Shing-Tung
152
1981
Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051
Schoen, Richard; Yau, Shing-Tung
148
1979
Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004
Korevaar, Nicholas J.; Schoen, Richard M.
143
1993
On the structure of manifolds with positive scalar curvature. Zbl 0423.53032
Schoen, Richard; Yau, Shing-Tung
137
1979
Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
128
1992
Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037
Schoen, Richard
126
1983
Curvature estimates for minimal hypersurfaces. Zbl 0323.53039
Schoen, Richard; Simon, Leon; Yau, Shing-Tung
113
1975
Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045
Anderson, Michael T.; Schoen, Richard
104
1985
Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
102
1996
Manifolds with \(1/4\)-pinched curvature are space forms. Zbl 1251.53021
Brendle, Simon; Schoen, Richard
90
2009
Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040
Schoen, Richard; Yau, Shing-Tung
90
1976
Conformal metrics with prescribed scalar curvature. Zbl 0628.53041
Escobar, Jose F.; Schoen, Richard M.
83
1986
Lectures on harmonic maps. Zbl 0886.53004
Schoen, R.; Yau, S.-T.
82
1997
\(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
82
1984
The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027
Schoen, Richard M.
78
1988
Regularity of stable minimal hypersurfaces. Zbl 0497.49034
Schoen, Richard; Simon, Leon
74
1981
A compactness theorem for the Yamabe problem. Zbl 1162.53029
Khuri, M. A.; Marques, F. C.; Schoen, R. M.
71
2009
The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052
Fraser, Ailana; Schoen, Richard
70
2011
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
66
1999
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
66
1978
On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016
Corvino, Justin; Schoen, Richard M.
62
2006
Analytic aspects of the harmonic map problem. Zbl 0551.58011
Schoen, Richard M.
60
1984
The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature. Zbl 0577.53044
Choi, Hyeong In; Schoen, Richard
56
1985
Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038
Schoen, Richard M.
55
1989
A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070
Galloway, Gregory J.; Schoen, Richard
54
2006
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
52
1984
Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012
Schoen, Richard; Yau, Shing-Tung
50
1979
Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042
Schoen, Richard
49
1983
Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099
Fraser, Ailana; Schoen, Richard
48
2016
Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020
Brendle, Simon; Schoen, Richard M.
46
2008
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
44
1997
The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013
Schoen, Richard M.
41
1993
The existence of a black hole due to condensation of matter. Zbl 0541.53054
Schoen, Richard; Yau, Shing-Tung
37
1983
On the conformal and CR automorphism groups. Zbl 0835.53015
Schoen, Richard
35
1995
On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021
Schoen, Richard M.
35
1991
Minimizing area among Lagrangian surfaces: the mapping problem. Zbl 1052.53056
Schoen, R.; Wolfson, J.
34
2001
The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031
Schoen, Richard; Yau, Shing Tung
31
1981
KIDs are non-generic. Zbl 1145.83306
Beig, Robert; Chruściel, Piotr T.; Schoen, Richard
26
2005
A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026
Schoen, Richard; Simon, Leon
26
1982
Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036
Schoen, Richard; Yau, Shing-Tung
26
1982
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
26
1978
On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009
Jost, Jürgen; Schoen, Richard
22
1982
Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018
Schoen, Richard; Wolpert, S.; Yau, Shing-Tung
22
1980
Minimal surfaces and eigenvalue problems. Zbl 1321.35118
Fraser, Ailana; Schoen, Richard
21
2013
Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112
Schoen, Richard; Wolfson, Jon
19
1999
A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025
Schoen, Richard M.
18
1991
Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076
Fraser, Ailana; Schoen, Richard
17
2015
Localizing solutions of the Einstein constraint equations. Zbl 1353.83010
Carlotto, Alessandro; Schoen, Richard
14
2016
Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001
Schoen, Richard; Simon, Leon
14
1983
On the Gauss map of complete surfaces of constant mean curvature in \(R^ 3 \)and \(R^ 4\). Zbl 0512.53008
Hoffman, D. A.; Osserman, R.; Schoen, Richard
14
1982
On the Bartnik mass of apparent horizons. Zbl 1326.83051
Mantoulidis, Christos; Schoen, Richard
13
2015
Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011
Schoen, Richard; Zhou, Xin
13
2013
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
12
2016
Sphere theorems in geometry. Zbl 1184.53037
Brendle, Simon; Schoen, Richard
11
2009
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073
Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard
10
2011
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
10
1984
Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029
Schoen, Richard; Yau, Shing-Tung
10
1979
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
9
2006
Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017
Schoen, Richard; Wolfson, Jon
9
1998
Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020
Brendle, Simon; Schoen, Richard
8
2011
A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048
Schoen, Richard
8
1982
Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008
Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao
7
2011
Minimal submanifolds in higher codimension. Zbl 1151.53344
Schoen, Richard
7
2006
Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity. Zbl 0385.53052
Schoen, Richard; Yau, Shing-Tung
7
1978
Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139
Fraser, Ailana; Schoen, Richard
6
2019
On static \(n\)-body configurations in relativity. Zbl 1161.83313
Beig, Robert; Schoen, Richard M.
6
2009
Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015
Schoen, Richard; Tran, Hung
5
2016
Gravitating opposites attract. Zbl 1181.83025
Beig, Robert; Gibbons, Gary W.; Schoen, Richard M.
5
2009
The volume functional for Lagrangian submanifolds. Zbl 1052.53057
Schoen, Richard; Wolfson, Jon
4
2003
Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070
Schoen, Richard
3
2013
The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023
Schoen, Richard
3
1996
Isoperimetric inequality for flat surfaces. Zbl 1192.53070
Choe, Jaigyoung; Schoen, Richard
2
2009
Special Lagrangian submanifolds. Zbl 1102.53056
Schoen, Richard
2
2005
Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038
Schoen, Richard
2
2005
Some results on higher eigenvalue optimization. Zbl 1448.35347
Fraser, Ailana; Schoen, Richard
1
2020
Riemannian manifolds of positive curvature. Zbl 1231.53032
Brendle, Simon; Schoen, Richard
1
2011
Sphere theorems in geometry. Zbl 1211.53062
Brendle, Simon; Schoen, Richard
1
2010
Handbook of geometric analysis. No. 1. Zbl 1144.53004
Ji, Lizhen (ed.); Li, Peter (ed.); Schoen, Richard (ed.); Simon, Leon (ed.)
1
2008
Recent progress in geometric partial differential equations. Zbl 0692.35046
Schoen, Richard
1
1987
Minimal surfaces and positive scalar curvature. Zbl 0561.53002
Schoen, Richard M.
1
1984
A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043
Schoen, Richard
1
1982
Some results on higher eigenvalue optimization. Zbl 1448.35347
Fraser, Ailana; Schoen, Richard
1
2020
Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139
Fraser, Ailana; Schoen, Richard
6
2019
Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099
Fraser, Ailana; Schoen, Richard
48
2016
Localizing solutions of the Einstein constraint equations. Zbl 1353.83010
Carlotto, Alessandro; Schoen, Richard
14
2016
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
12
2016
Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015
Schoen, Richard; Tran, Hung
5
2016
Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076
Fraser, Ailana; Schoen, Richard
17
2015
On the Bartnik mass of apparent horizons. Zbl 1326.83051
Mantoulidis, Christos; Schoen, Richard
13
2015
Minimal surfaces and eigenvalue problems. Zbl 1321.35118
Fraser, Ailana; Schoen, Richard
21
2013
Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011
Schoen, Richard; Zhou, Xin
13
2013
Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070
Schoen, Richard
3
2013
The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052
Fraser, Ailana; Schoen, Richard
70
2011
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073
Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard
10
2011
Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020
Brendle, Simon; Schoen, Richard
8
2011
Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008
Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao
7
2011
Riemannian manifolds of positive curvature. Zbl 1231.53032
Brendle, Simon; Schoen, Richard
1
2011
Sphere theorems in geometry. Zbl 1211.53062
Brendle, Simon; Schoen, Richard
1
2010
Manifolds with \(1/4\)-pinched curvature are space forms. Zbl 1251.53021
Brendle, Simon; Schoen, Richard
90
2009
A compactness theorem for the Yamabe problem. Zbl 1162.53029
Khuri, M. A.; Marques, F. C.; Schoen, R. M.
71
2009
Sphere theorems in geometry. Zbl 1184.53037
Brendle, Simon; Schoen, Richard
11
2009
On static \(n\)-body configurations in relativity. Zbl 1161.83313
Beig, Robert; Schoen, Richard M.
6
2009
Gravitating opposites attract. Zbl 1181.83025
Beig, Robert; Gibbons, Gary W.; Schoen, Richard M.
5
2009
Isoperimetric inequality for flat surfaces. Zbl 1192.53070
Choe, Jaigyoung; Schoen, Richard
2
2009
Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020
Brendle, Simon; Schoen, Richard M.
46
2008
Handbook of geometric analysis. No. 1. Zbl 1144.53004
Ji, Lizhen (ed.); Li, Peter (ed.); Schoen, Richard (ed.); Simon, Leon (ed.)
1
2008
On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016
Corvino, Justin; Schoen, Richard M.
62
2006
A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070
Galloway, Gregory J.; Schoen, Richard
54
2006
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
9
2006
Minimal submanifolds in higher codimension. Zbl 1151.53344
Schoen, Richard
7
2006
KIDs are non-generic. Zbl 1145.83306
Beig, Robert; Chruściel, Piotr T.; Schoen, Richard
26
2005
Special Lagrangian submanifolds. Zbl 1102.53056
Schoen, Richard
2
2005
Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038
Schoen, Richard
2
2005
The volume functional for Lagrangian submanifolds. Zbl 1052.53057
Schoen, Richard; Wolfson, Jon
4
2003
Minimizing area among Lagrangian surfaces: the mapping problem. Zbl 1052.53056
Schoen, R.; Wolfson, J.
34
2001
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
66
1999
Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112
Schoen, Richard; Wolfson, Jon
19
1999
Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017
Schoen, Richard; Wolfson, Jon
9
1998
Lectures on harmonic maps. Zbl 0886.53004
Schoen, R.; Yau, S.-T.
82
1997
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
44
1997
Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
102
1996
The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023
Schoen, Richard
3
1996
On the conformal and CR automorphism groups. Zbl 0835.53015
Schoen, Richard
35
1995
Lectures on differential geometry. Zbl 0830.53001
Schoen, Richard; Yau, Shing-Tung
377
1994
Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004
Korevaar, Nicholas J.; Schoen, Richard M.
143
1993
The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013
Schoen, Richard M.
41
1993
Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
128
1992
On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021
Schoen, Richard M.
35
1991
A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025
Schoen, Richard M.
18
1991
Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038
Schoen, Richard M.
55
1989
Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038
Schoen, Richard; Yau, Shing-Tung
192
1988
The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027
Schoen, Richard M.
78
1988
Recent progress in geometric partial differential equations. Zbl 0692.35046
Schoen, Richard
1
1987
Conformal metrics with prescribed scalar curvature. Zbl 0628.53041
Escobar, Jose F.; Schoen, Richard M.
83
1986
Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045
Anderson, Michael T.; Schoen, Richard
104
1985
The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature. Zbl 0577.53044
Choi, Hyeong In; Schoen, Richard
56
1985
Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028
Schoen, Richard
389
1984
\(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
82
1984
Analytic aspects of the harmonic map problem. Zbl 0551.58011
Schoen, Richard M.
60
1984
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
52
1984
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
10
1984
Minimal surfaces and positive scalar curvature. Zbl 0561.53002
Schoen, Richard M.
1
1984
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
189
1983
Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037
Schoen, Richard
126
1983
Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042
Schoen, Richard
49
1983
The existence of a black hole due to condensation of matter. Zbl 0541.53054
Schoen, Richard; Yau, Shing-Tung
37
1983
Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001
Schoen, Richard; Simon, Leon
14
1983
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
264
1982
A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026
Schoen, Richard; Simon, Leon
26
1982
Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036
Schoen, Richard; Yau, Shing-Tung
26
1982
On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009
Jost, Jürgen; Schoen, Richard
22
1982
On the Gauss map of complete surfaces of constant mean curvature in \(R^ 3 \)and \(R^ 4\). Zbl 0512.53008
Hoffman, D. A.; Osserman, R.; Schoen, Richard
14
1982
A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048
Schoen, Richard
8
1982
A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043
Schoen, Richard
1
1982
Proof of the positive mass theorem. II. Zbl 0494.53028
Schoen, Richard; Yau, Shing-Tung
152
1981
Regularity of stable minimal hypersurfaces. Zbl 0497.49034
Schoen, Richard; Simon, Leon
74
1981
The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031
Schoen, Richard; Yau, Shing Tung
31
1981
The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060
Fischer-Colbrie, Doris; Schoen, Richard
237
1980
Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018
Schoen, Richard; Wolpert, S.; Yau, Shing-Tung
22
1980
On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045
Schoen, Richard; Yau, Shing-Tung
311
1979
Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051
Schoen, Richard; Yau, Shing-Tung
148
1979
On the structure of manifolds with positive scalar curvature. Zbl 0423.53032
Schoen, Richard; Yau, Shing-Tung
137
1979
Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012
Schoen, Richard; Yau, Shing-Tung
50
1979
Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029
Schoen, Richard; Yau, Shing-Tung
10
1979
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
66
1978
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
26
1978
Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity. Zbl 0385.53052
Schoen, Richard; Yau, Shing-Tung
7
1978
Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040
Schoen, Richard; Yau, Shing-Tung
90
1976
Curvature estimates for minimal hypersurfaces. Zbl 0323.53039
Schoen, Richard; Simon, Leon; Yau, Shing-Tung
113
1975
all top 5

Cited by 2,807 Authors

35 Yau, Shing-Tung
28 Wei, Juncheng
27 Meeks, William Hamilton III
26 Schoen, Richard Melvin
25 Khuri, Marcus A.
25 Li, YanYan
25 Rigoli, Marco
23 Jost, Jürgen
20 Lin, Fang Hua
19 Hebey, Emmanuel
19 Ma, Li
19 Xia, Changyu
18 Brendle, Simon
18 Miao, Pengzi
17 Chtioui, Hichem
17 Ho, Pak Tung
17 Robert, Frédéric
16 Malchiodi, Andrea
16 Pacard, Frank
16 Tam, Luen-Fai
16 Wang, Changyou
16 Yang, Paul C. P.
15 Bethuel, Fabrice
15 Li, Haizhong
15 Wang, Guofang
14 Barbosa, Ezequiel R.
14 Marques, Fernando Codá
14 Pistoia, Angela
14 Wang, Qiaoling
13 Brézis, Haïm
13 Druet, Olivier
13 Fu, Haiping
13 Giaquinta, Mariano
13 Mese, Chikako
13 White, Brian Cabell
13 Xu, Hongwei
13 Zhou, Detang
12 Chang, Sun-Yung Alice
12 Del Pino, Manuel A.
12 Humbert, Emmanuel
12 Leung, Man Chun
12 Li, Jiayu
12 Lin, Chang-Shou
12 Ripoll, Jaime Bruck
12 Viaclovsky, Jeff A.
12 Xin, Yuanlong
12 Zhang, Lei
11 Arroja Neves, André
11 Carlotto, Alessandro
11 Chen, Jingyi
11 Chruściel, Piotr Tadeusz
11 Galloway, Gregory J.
11 Hardt, Robert M.
11 Huang, Lan-Hsuan
11 Ni, Lei
11 Pigola, Stefano
11 Qing, Jie
11 Seshadri, Harish
11 Sire, Yannick
11 Veronelli, Giona
11 Wenger, Stefan
11 Xiong, Jingang
11 Yamada, Sumio
11 Zhang, Xiao
10 Akutagawa, Kazuo
10 Hoffman, David A.
10 Li, Xiang-Dong
10 McInnes, Brett
10 Ould Ahmedou, Mohameden
10 Petean, Jimmy
10 Rosenberg, Harold
10 Shi, Yuguang
10 Vétois, Jérôme
10 Wang, Mu-Tao
9 Alarcón, Antonio
9 Ammann, Bernd Eberhard
9 Eichmair, Michael
9 Espinar, José María
9 González, María del Mar
9 Lytchak, Alexander
9 Mari, Luciano
9 Nakauchi, Nobumitsu
9 Bessa, Gregório Pacelli
9 Sormani, Christina
9 Tian, Gang
9 Weinstein, Gilbert
9 Xiao, Jie
9 Xie, Naqing
9 Xu, Xingwang
8 Cheeger, Jeff
8 Daskalopoulos, Georgios D.
8 Fraser, Ailana M.
8 Goodrich, Christopher S.
8 Grigor’yan, Alexander Asaturovich
8 Han, Zheng-Chao
8 Huang, Zheng
8 Isobe, Takeshi
8 Iwaniec, Tadeusz
8 Kalaj, David
8 Kunduri, Hari K.
...and 2,707 more Authors
all top 5

Cited in 294 Serials

210 Calculus of Variations and Partial Differential Equations
151 The Journal of Geometric Analysis
126 Proceedings of the American Mathematical Society
123 Communications in Mathematical Physics
123 Transactions of the American Mathematical Society
109 Mathematische Annalen
93 Inventiones Mathematicae
93 Journal of Functional Analysis
92 Manuscripta Mathematica
92 Annals of Global Analysis and Geometry
84 Mathematische Zeitschrift
83 Advances in Mathematics
75 Journal of Differential Equations
73 Journal of Geometry and Physics
67 Duke Mathematical Journal
63 Geometriae Dedicata
60 Journal of Mathematical Analysis and Applications
60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
59 Differential Geometry and its Applications
54 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
42 Communications in Partial Differential Equations
40 Journal of Mathematical Physics
37 Archive for Rational Mechanics and Analysis
37 Bulletin of the American Mathematical Society. New Series
37 Communications in Contemporary Mathematics
34 General Relativity and Gravitation
34 Annales Henri Poincaré
32 Annales de l’Institut Fourier
32 Journal für die Reine und Angewandte Mathematik
31 Geometric and Functional Analysis. GAFA
30 Journal of the American Mathematical Society
30 Geometry & Topology
29 Tohoku Mathematical Journal. Second Series
29 Journal de Mathématiques Pures et Appliquées. Neuvième Série
28 Annali di Matematica Pura ed Applicata. Serie Quarta
27 Annals of Mathematics. Second Series
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
24 International Journal of Mathematics
24 Journal of High Energy Physics
21 Communications on Pure and Applied Mathematics
21 Acta Mathematica
20 Israel Journal of Mathematics
18 Pacific Journal of Mathematics
17 Potential Analysis
17 Journal of the European Mathematical Society (JEMS)
17 Acta Mathematica Sinica. English Series
16 Frontiers of Mathematics in China
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Science China. Mathematics
15 Nonlinear Analysis. Theory, Methods & Applications
14 Nuclear Physics. B
14 Archiv der Mathematik
14 Chinese Annals of Mathematics. Series B
14 Advances in Calculus of Variations
13 Results in Mathematics
13 Revista Matemática Iberoamericana
12 Journal of Computational Physics
12 Bulletin des Sciences Mathématiques
12 Discrete and Continuous Dynamical Systems
12 Living Reviews in Relativity
11 Classical and Quantum Gravity
11 Compositio Mathematica
11 Mathematische Nachrichten
10 Journal d’Analyse Mathématique
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Bulletin of the Brazilian Mathematical Society. New Series
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
9 Memoirs of the American Mathematical Society
9 Monatshefte für Mathematik
9 Journal of Topology and Analysis
8 The Annals of Probability
8 Nagoya Mathematical Journal
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Journal of Mathematical Sciences (New York)
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Journal of Fixed Point Theory and Applications
7 International Journal of Modern Physics A
7 Bulletin of the Australian Mathematical Society
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Bulletin de la Société Mathématique de France
7 Illinois Journal of Mathematics
7 Topology and its Applications
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Physical Review Letters
7 Advanced Nonlinear Studies
7 Groups, Geometry, and Dynamics
7 Analysis and Geometry in Metric Spaces
6 Letters in Mathematical Physics
6 Journal of the Mathematical Society of Japan
6 Michigan Mathematical Journal
6 Osaka Journal of Mathematics
6 Ergodic Theory and Dynamical Systems
6 Journal of Scientific Computing
6 Science in China. Series A
6 SIAM Journal on Mathematical Analysis
6 Acta Mathematica Sinica. New Series
6 Chinese Science Bulletin
6 International Journal of Modern Physics D
6 Applied Mathematics. Series B (English Edition)
6 Abstract and Applied Analysis
...and 194 more Serials
all top 5

Cited in 52 Fields

2,165 Differential geometry (53-XX)
1,171 Global analysis, analysis on manifolds (58-XX)
987 Partial differential equations (35-XX)
382 Relativity and gravitational theory (83-XX)
347 Calculus of variations and optimal control; optimization (49-XX)
189 Several complex variables and analytic spaces (32-XX)
177 Manifolds and cell complexes (57-XX)
140 Functions of a complex variable (30-XX)
123 Potential theory (31-XX)
122 Functional analysis (46-XX)
79 Quantum theory (81-XX)
56 Probability theory and stochastic processes (60-XX)
54 Group theory and generalizations (20-XX)
53 Dynamical systems and ergodic theory (37-XX)
52 Fluid mechanics (76-XX)
49 Topological groups, Lie groups (22-XX)
48 Numerical analysis (65-XX)
48 Statistical mechanics, structure of matter (82-XX)
47 Algebraic geometry (14-XX)
42 Algebraic topology (55-XX)
34 Operator theory (47-XX)
29 Real functions (26-XX)
26 Convex and discrete geometry (52-XX)
22 Mechanics of deformable solids (74-XX)
19 Combinatorics (05-XX)
18 Measure and integration (28-XX)
18 Geometry (51-XX)
17 General topology (54-XX)
15 Mechanics of particles and systems (70-XX)
14 Number theory (11-XX)
14 Ordinary differential equations (34-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 Abstract harmonic analysis (43-XX)
12 \(K\)-theory (19-XX)
12 Computer science (68-XX)
10 History and biography (01-XX)
10 Astronomy and astrophysics (85-XX)
7 Integral equations (45-XX)
6 Optics, electromagnetic theory (78-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Special functions (33-XX)
4 Statistics (62-XX)
4 Operations research, mathematical programming (90-XX)
4 Biology and other natural sciences (92-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Nonassociative rings and algebras (17-XX)
3 Approximations and expansions (41-XX)
3 Systems theory; control (93-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
1 General and overarching topics; collections (00-XX)
1 Category theory; homological algebra (18-XX)

Citations by Year

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