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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, Richard; Schoen, Richard M.; Schoen, R.; Schoen, R. M.
Homepage: https://www.math.uci.edu/people/richard-schoen
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Wolf Prize (2017)
Documents Indexed: 91 Publications since 1975, including 3 Books
17 Contributions as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 63 Co-Authors with 87 Joint Publications
1,760 Co-Co-Authors
all top 5

Co-Authors

21 single-authored
30 Yau, Shing-Tung
8 Cao, Huai-Dong
8 Simon, Leon Melvin
7 Li, Peter
6 Brendle, Simon
6 Fraser, Ailana M.
6 Li, Jun
5 Ji, Lizhen
4 Wolfson, Jon Gordon
3 Beig, Robert
3 Korevaar, Nicholas Jacob
3 Uhlenbeck, Karen Keskulla
2 Huang, Lan-Hsuan
2 Kazdan, Jerry L.
2 Kotake, Takeshi
2 Liu, Kefeng
2 Nishikawa, Seiki
2 Topping, Peter Miles
1 Almgren, Frederick Justin jun.
1 Anderson, Michael T.
1 Bahoura, Samy Skander
1 Bahri, Abbas
1 Ben Abdesselem, Adnène
1 Bourguignon, Jean-Pierre
1 Carlotto, Alessandro
1 Chang, Sun-Yung Alice
1 Cheng, Shiu-Yuen
1 Choe, Jaigyoung
1 Choi, Hyeong In
1 Chruściel, Piotr Tadeusz
1 Corvino, Justin
1 Coulouvrat, François
1 De Lellis, Camillo
1 De Philippis, Guido
1 Delanoë, Philippe P.
1 Eichmair, Michael
1 Eliashberg, Yakov Matveevich
1 Escobar, José Fernando
1 Fischer-Colbrie, Doris
1 Galloway, Gregory J.
1 Gibbons, Gary William
1 Gil-Medrano, Olga
1 Gromov, Mikhael Leonidovich
1 Guan, Bo
1 Hitchin, Nigel James
1 Hoffman, David A.
1 Holcman, David
1 Inoue, Atsushi
1 Jian, Huai-Yu
1 Jost, Jürgen
1 Joyce, Dominic David
1 Khuri, Marcus A.
1 Koiso, Norihito
1 Lee, Dan Archibald
1 Lee, Yng-Ing
1 Lemaire, Luc
1 Mantoulidis, Christos
1 Marques, Fernando Codá
1 Mazzeo, Rafe R.
1 Milman, Vitali D.
1 Ochiai, Takushiro
1 Osserman, Robert
1 Pacard, Frank
1 Pinsky, Mark Allan
1 Polterovich, Leonid Viktorovich
1 Sunada, Toshikazu
1 Tanno, Shukichi
1 Ueno, Keisuke
1 Wang, Mu-Tao
1 Wolpert, Scott A.
1 Yang, Paul C. P.
1 Zhang, Dong
1 Zhou, Xin

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 5,676 times in 3,863 Documents Cited by Year
Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028
Schoen, Richard
428
1984
Lectures on differential geometry. Zbl 0830.53001
Schoen, Richard; Yau, Shing-Tung
383
1994
On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045
Schoen, Richard; Yau, Shing-Tung
346
1979
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
285
1982
The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060
Fischer-Colbrie, Doris; Schoen, Richard
249
1980
Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038
Schoen, Richard; Yau, Shing-Tung
212
1988
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
199
1983
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
168
1979
Proof of the positive mass theorem. II. Zbl 0494.53028
Schoen, Richard; Yau, Shing-Tung
163
1981
Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004
Korevaar, Nicholas J.; Schoen, Richard M.
158
1993
On the structure of manifolds with positive scalar curvature. Zbl 0423.53032
Schoen, Richard; Yau, Shing-Tung
151
1979
Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
143
1992
Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037
Schoen, Richard
136
1983
Curvature estimates for minimal hypersurfaces. Zbl 0323.53039
Schoen, Richard; Simon, Leon; Yau, Shing-Tung
125
1975
Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045
Anderson, Michael T.; Schoen, Richard
113
1985
Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
110
1996
Manifolds with \(1/4\)-pinched curvature are space forms. Zbl 1251.53021
Brendle, Simon; Schoen, Richard
103
2009
Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040
Schoen, Richard; Yau, Shing-Tung
96
1976
Regularity of stable minimal hypersurfaces. Zbl 0497.49034
Schoen, Richard; Simon, Leon
91
1981
\(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
91
1984
The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052
Fraser, Ailana; Schoen, Richard
91
2011
The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027
Schoen, Richard M.
89
1988
Conformal metrics with prescribed scalar curvature. Zbl 0628.53041
Escobar, Jose F.; Schoen, Richard M.
86
1986
Lectures on harmonic maps. Zbl 0886.53004
Schoen, R.; Yau, S.-T.
84
1997
A compactness theorem for the Yamabe problem. Zbl 1162.53029
Khuri, M. A.; Marques, F. C.; Schoen, R. M.
82
2009
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
74
1999
On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016
Corvino, Justin; Schoen, Richard M.
72
2006
Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099
Fraser, Ailana; Schoen, Richard
70
2016
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
69
1978
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
63
1985
A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070
Galloway, Gregory J.; Schoen, Richard
58
2006
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
55
1984
Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012
Schoen, Richard; Yau, Shing-Tung
52
1979
Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042
Schoen, Richard
52
1983
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
49
1997
Analytic aspects of the harmonic map problem. Zbl 0551.58011
Schoen, Richard M.
48
1984
Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020
Brendle, Simon; Schoen, Richard M.
48
2008
The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013
Schoen, Richard M.
47
1993
The existence of a black hole due to condensation of matter. Zbl 0541.53054
Schoen, Richard; Yau, Shing-Tung
41
1983
On the conformal and CR automorphism groups. Zbl 0835.53015
Schoen, Richard
38
1995
Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038
Schoen, Richard M.
38
1989
Minimizing area among Lagrangian surfaces: the mapping problem. Zbl 1052.53056
Schoen, R.; Wolfson, J.
37
2001
The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031
Schoen, Richard; Yau, Shing Tung
35
1981
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
29
1978
A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026
Schoen, Richard; Simon, Leon
29
1982
KIDs are non-generic. Zbl 1145.83306
Beig, Robert; Chruściel, Piotr T.; Schoen, Richard
28
2005
Minimal surfaces and eigenvalue problems. Zbl 1321.35118
Fraser, Ailana; Schoen, Richard
27
2013
Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036
Schoen, Richard; Yau, Shing-Tung
26
1982
Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076
Fraser, Ailana; Schoen, Richard
24
2015
On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021
Schoen, Richard M.
24
1991
On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009
Jost, Jürgen; Schoen, Richard
23
1982
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
21
2016
Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018
Schoen, Richard; Wolpert, S.; Yau, Shing-Tung
20
1980
On the Bartnik mass of apparent horizons. Zbl 1326.83051
Mantoulidis, Christos; Schoen, Richard
19
2015
Localizing solutions of the Einstein constraint equations. Zbl 1353.83010
Carlotto, Alessandro; Schoen, Richard
19
2016
A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025
Schoen, Richard M.
18
1991
Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112
Schoen, Richard; Wolfson, Jon
17
1999
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
15
1982
Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001
Schoen, Richard; Simon, Leon
14
1983
Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139
Fraser, Ailana; Schoen, Richard
14
2019
Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029
Schoen, Richard; Yau, Shing-Tung
13
1979
Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011
Schoen, Richard; Zhou, Xin
13
2013
Sphere theorems in geometry. Zbl 1184.53037
Brendle, Simon; Schoen, Richard
13
2009
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
12
1984
A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048
Schoen, Richard
11
1982
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073
Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard
11
2011
Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020
Brendle, Simon; Schoen, Richard
11
2011
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
10
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
10
1978
Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017
Schoen, Richard; Wolfson, Jon
9
1998
Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008
Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao
9
2011
Minimal submanifolds in higher codimension. Zbl 1151.53344
Schoen, Richard
9
2006
On static \(n\)-body configurations in relativity. Zbl 1161.83313
Beig, Robert; Schoen, Richard M.
7
2009
Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015
Schoen, Richard; Tran, Hung
6
2016
Gravitating opposites attract. Zbl 1181.83025
Beig, Robert; Gibbons, Gary W.; Schoen, Richard M.
5
2009
The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023
Schoen, Richard
4
1996
The volume functional for Lagrangian submanifolds. Zbl 1052.53057
Schoen, Richard; Wolfson, Jon
4
2003
Some results on higher eigenvalue optimization. Zbl 1448.35347
Fraser, Ailana; Schoen, Richard
4
2020
Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070
Schoen, Richard
3
2013
Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038
Schoen, Richard
3
2005
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2
2014
Special Lagrangian submanifolds. Zbl 1102.53056
Schoen, Richard
2
2005
Riemannian manifolds of positive curvature. Zbl 1231.53032
Brendle, Simon; Schoen, Richard
2
2011
Isoperimetric inequality for flat surfaces. Zbl 1192.53070
Choe, Jaigyoung; Schoen, Richard
2
2009
A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043
Schoen, Richard
1
1982
Non-linear problems in geometry. Conference held at Katata, September 3–8, 1979. Proceedings of the 6th international Taniguchi symposium. Zbl 0433.53002
1
1979
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
Sphere theorems in geometry. Zbl 1211.53062
Brendle, Simon; Schoen, Richard
1
2010
Handbook of geometric analysis. No. 1. Zbl 1144.53004
1
2008
Some results on higher eigenvalue optimization. Zbl 1448.35347
Fraser, Ailana; Schoen, Richard
4
2020
Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139
Fraser, Ailana; Schoen, Richard
14
2019
Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099
Fraser, Ailana; Schoen, Richard
70
2016
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
21
2016
Localizing solutions of the Einstein constraint equations. Zbl 1353.83010
Carlotto, Alessandro; Schoen, Richard
19
2016
Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015
Schoen, Richard; Tran, Hung
6
2016
Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076
Fraser, Ailana; Schoen, Richard
24
2015
On the Bartnik mass of apparent horizons. Zbl 1326.83051
Mantoulidis, Christos; Schoen, Richard
19
2015
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2
2014
Minimal surfaces and eigenvalue problems. Zbl 1321.35118
Fraser, Ailana; Schoen, Richard
27
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
91
2011
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073
Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard
11
2011
Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020
Brendle, Simon; Schoen, Richard
11
2011
Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008
Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao
9
2011
Riemannian manifolds of positive curvature. Zbl 1231.53032
Brendle, Simon; Schoen, Richard
2
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
103
2009
A compactness theorem for the Yamabe problem. Zbl 1162.53029
Khuri, M. A.; Marques, F. C.; Schoen, R. M.
82
2009
Sphere theorems in geometry. Zbl 1184.53037
Brendle, Simon; Schoen, Richard
13
2009
On static \(n\)-body configurations in relativity. Zbl 1161.83313
Beig, Robert; Schoen, Richard M.
7
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.
48
2008
Handbook of geometric analysis. No. 1. Zbl 1144.53004
1
2008
On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016
Corvino, Justin; Schoen, Richard M.
72
2006
A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070
Galloway, Gregory J.; Schoen, Richard
58
2006
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
10
2006
Minimal submanifolds in higher codimension. Zbl 1151.53344
Schoen, Richard
9
2006
KIDs are non-generic. Zbl 1145.83306
Beig, Robert; Chruściel, Piotr T.; Schoen, Richard
28
2005
Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038
Schoen, Richard
3
2005
Special Lagrangian submanifolds. Zbl 1102.53056
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.
37
2001
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
74
1999
Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112
Schoen, Richard; Wolfson, Jon
17
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.
84
1997
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
49
1997
Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
110
1996
The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023
Schoen, Richard
4
1996
On the conformal and CR automorphism groups. Zbl 0835.53015
Schoen, Richard
38
1995
Lectures on differential geometry. Zbl 0830.53001
Schoen, Richard; Yau, Shing-Tung
383
1994
Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004
Korevaar, Nicholas J.; Schoen, Richard M.
158
1993
The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013
Schoen, Richard M.
47
1993
Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
143
1992
On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021
Schoen, Richard M.
24
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.
38
1989
Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038
Schoen, Richard; Yau, Shing-Tung
212
1988
The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027
Schoen, Richard M.
89
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.
86
1986
Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045
Anderson, Michael T.; Schoen, Richard
113
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
63
1985
Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028
Schoen, Richard
428
1984
\(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
91
1984
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
55
1984
Analytic aspects of the harmonic map problem. Zbl 0551.58011
Schoen, Richard M.
48
1984
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
12
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
199
1983
Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037
Schoen, Richard
136
1983
Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042
Schoen, Richard
52
1983
The existence of a black hole due to condensation of matter. Zbl 0541.53054
Schoen, Richard; Yau, Shing-Tung
41
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
285
1982
A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026
Schoen, Richard; Simon, Leon
29
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
23
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
15
1982
A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048
Schoen, Richard
11
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
163
1981
Regularity of stable minimal hypersurfaces. Zbl 0497.49034
Schoen, Richard; Simon, Leon
91
1981
The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031
Schoen, Richard; Yau, Shing Tung
35
1981
The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060
Fischer-Colbrie, Doris; Schoen, Richard
249
1980
Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018
Schoen, Richard; Wolpert, S.; Yau, Shing-Tung
20
1980
On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045
Schoen, Richard; Yau, Shing-Tung
346
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
168
1979
On the structure of manifolds with positive scalar curvature. Zbl 0423.53032
Schoen, Richard; Yau, Shing-Tung
151
1979
Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012
Schoen, Richard; Yau, Shing-Tung
52
1979
Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029
Schoen, Richard; Yau, Shing-Tung
13
1979
Non-linear problems in geometry. Conference held at Katata, September 3–8, 1979. Proceedings of the 6th international Taniguchi symposium. Zbl 0433.53002
1
1979
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
69
1978
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
29
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
10
1978
Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040
Schoen, Richard; Yau, Shing-Tung
96
1976
Curvature estimates for minimal hypersurfaces. Zbl 0323.53039
Schoen, Richard; Simon, Leon; Yau, Shing-Tung
125
1975
all top 5

Cited by 2,948 Authors

36 Yau, Shing-Tung
30 Wei, Juncheng
27 Meeks, William Hamilton III
27 Rigoli, Marco
26 Khuri, Marcus A.
26 Schoen, Richard Melvin
25 Li, YanYan
23 Jost, Jürgen
20 Hebey, Emmanuel
20 Ho, Pak Tung
20 Lin, Fang Hua
20 Miao, Pengzi
19 Brendle, Simon
18 Barbosa, Ezequiel R.
18 Ma, Li
17 Chtioui, Hichem
17 Robert, Frédéric
17 Wang, Guofang
16 Li, Haizhong
16 Malchiodi, Andrea
16 Marques, Fernando Codá
16 Pacard, Frank
16 Tam, Luen-Fai
16 Xia, Changyu
15 Bethuel, Fabrice
15 Mese, Chikako
15 Pistoia, Angela
15 Wang, Changyou
15 Yang, Paul C. P.
14 Wang, Qiaoling
14 White, Brian Cabell
13 Arroja Neves, André
13 Brézis, Haïm
13 Carlotto, Alessandro
13 Fu, Haiping
13 Galloway, Gregory J.
13 Giaquinta, Mariano
13 Qing, Jie
13 Ripoll, Jaime Bruck
13 Sire, Yannick
13 Veronelli, Giona
13 Wenger, Stefan
13 Xin, Yuanlong
13 Xu, Hongwei
13 Zhou, Detang
12 Del Pino, Manuel A.
12 Druet, Olivier
12 Eichmair, Michael
12 Humbert, Emmanuel
12 Leung, Man Chun
12 Li, Jiayu
12 Lin, Chang-Shou
12 Mari, Luciano
12 Shi, Yuguang
12 Viaclovsky, Jeff A.
12 Zhang, Lei
11 Akutagawa, Kazuo
11 Chang, Sun-Yung Alice
11 Chruściel, Piotr Tadeusz
11 Hardt, Robert M.
11 Huang, Lan-Hsuan
11 Lee, Dan Archibald
11 Ni, Lei
11 Ould Ahmedou, Mohameden
11 Petean, Jimmy
11 Pigola, Stefano
11 Pyo, Juncheol
11 Seshadri, Harish
11 Xie, Naqing
11 Xiong, Jingang
11 Yamada, Sumio
11 Zhang, Xiao
10 Chen, Jingyi
10 Dong, Yuxin
10 Espinar, José María
10 Hoffman, David A.
10 Li, Xiang-Dong
10 Lin, Hezi
10 Micheletti, Anna Maria
10 Musso, Monica
10 Premoselli, Bruno
10 Rosenberg, Harold
10 Sormani, Christina
10 Stepanov, Sergeĭ Evgen’evich
10 Tian, Gang
10 Van Schaftingen, Jean
10 Vétois, Jérôme
10 Wang, Mu-Tao
10 Weinstein, Gilbert
9 Alarcón, Antonio
9 Ammann, Bernd Eberhard
9 Colbois, Bruno
9 Daskalopoulos, Georgios D.
9 González, María del Mar
9 Goodrich, Christopher S.
9 Huang, Guangyue
9 Kalaj, David
9 Lu, Zhiqin
9 Lytchak, Alexander
9 McInnes, Brett
...and 2,848 more Authors
all top 5

Cited in 322 Serials

238 Calculus of Variations and Partial Differential Equations
191 The Journal of Geometric Analysis
136 Proceedings of the American Mathematical Society
130 Transactions of the American Mathematical Society
128 Communications in Mathematical Physics
113 Mathematische Annalen
100 Annals of Global Analysis and Geometry
98 Journal of Functional Analysis
95 Inventiones Mathematicae
92 Advances in Mathematics
92 Manuscripta Mathematica
88 Mathematische Zeitschrift
78 Journal of Differential Equations
72 Journal of Geometry and Physics
72 Duke Mathematical Journal
69 Geometriae Dedicata
60 Journal of Mathematical Analysis and Applications
58 Differential Geometry and its Applications
54 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
53 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
43 Communications in Partial Differential Equations
41 Archive for Rational Mechanics and Analysis
41 Journal of Mathematical Physics
40 Communications in Contemporary Mathematics
37 Journal für die Reine und Angewandte Mathematik
37 Bulletin of the American Mathematical Society. New Series
36 Geometric and Functional Analysis. GAFA
35 General Relativity and Gravitation
34 Annales de l’Institut Fourier
34 Annales Henri Poincaré
32 Annali di Matematica Pura ed Applicata. Serie Quarta
31 Journal of the American Mathematical Society
30 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Geometry & Topology
29 Classical and Quantum Gravity
29 Tohoku Mathematical Journal. Second Series
28 International Journal of Mathematics
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Annals of Mathematics. Second Series
23 Science China. Mathematics
21 Communications on Pure and Applied Mathematics
21 Acta Mathematica
21 Journal of the European Mathematical Society (JEMS)
20 Israel Journal of Mathematics
20 Acta Mathematica Sinica. English Series
19 Potential Analysis
19 Journal of High Energy Physics
18 Pacific Journal of Mathematics
18 Results in Mathematics
18 Advances in Calculus of Variations
16 Frontiers of Mathematics in China
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Discrete and Continuous Dynamical Systems
14 Archiv der Mathematik
14 Chinese Annals of Mathematics. Series B
14 Revista Matemática Iberoamericana
14 Bulletin des Sciences Mathématiques
14 Nonlinear Analysis. Theory, Methods & Applications
12 Journal of Computational Physics
12 Nuclear Physics. B
12 Living Reviews in Relativity
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
11 Compositio Mathematica
11 Mathematische Nachrichten
11 Bulletin of the Brazilian Mathematical Society. New Series
10 Journal d’Analyse Mathématique
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Journal of Topology and Analysis
9 Memoirs of the American Mathematical Society
9 Monatshefte für Mathematik
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Letters in Mathematical Physics
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 The Annals of Probability
8 Illinois Journal of Mathematics
8 Nagoya Mathematical Journal
8 Ergodic Theory and Dynamical Systems
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Journal of Mathematical Sciences (New York)
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 Advanced Nonlinear Studies
8 Journal of Fixed Point Theory and Applications
8 Analysis and Geometry in Metric Spaces
7 International Journal of Modern Physics A
7 Bulletin of the Australian Mathematical Society
7 Bulletin de la Société Mathématique de France
7 Journal of Differential Geometry
7 Journal of the Mathematical Society of Japan
7 Topology and its Applications
7 Physical Review Letters
7 Communications on Pure and Applied Analysis
7 Complex Variables and Elliptic Equations
7 Groups, Geometry, and Dynamics
6 Mathematical Notes
6 Indiana University Mathematics Journal
6 Michigan Mathematical Journal
6 Osaka Journal of Mathematics
6 Journal of Scientific Computing
6 Science in China. Series A
...and 222 more Serials
all top 5

Cited in 53 Fields

2,375 Differential geometry (53-XX)
1,271 Global analysis, analysis on manifolds (58-XX)
1,107 Partial differential equations (35-XX)
418 Relativity and gravitational theory (83-XX)
383 Calculus of variations and optimal control; optimization (49-XX)
207 Several complex variables and analytic spaces (32-XX)
198 Manifolds and cell complexes (57-XX)
150 Functions of a complex variable (30-XX)
131 Potential theory (31-XX)
128 Functional analysis (46-XX)
83 Quantum theory (81-XX)
61 Dynamical systems and ergodic theory (37-XX)
61 Probability theory and stochastic processes (60-XX)
59 Fluid mechanics (76-XX)
58 Group theory and generalizations (20-XX)
56 Numerical analysis (65-XX)
55 Topological groups, Lie groups (22-XX)
51 Algebraic geometry (14-XX)
50 Statistical mechanics, structure of matter (82-XX)
44 Algebraic topology (55-XX)
38 Operator theory (47-XX)
35 Real functions (26-XX)
27 Convex and discrete geometry (52-XX)
25 Mechanics of deformable solids (74-XX)
23 Geometry (51-XX)
21 Combinatorics (05-XX)
21 Measure and integration (28-XX)
21 Mechanics of particles and systems (70-XX)
18 General topology (54-XX)
16 Number theory (11-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
13 Ordinary differential equations (34-XX)
13 Abstract harmonic analysis (43-XX)
12 \(K\)-theory (19-XX)
11 History and biography (01-XX)
10 Computer science (68-XX)
10 Astronomy and astrophysics (85-XX)
7 Integral equations (45-XX)
7 Optics, electromagnetic theory (78-XX)
6 Statistics (62-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Special functions (33-XX)
5 Biology and other natural sciences (92-XX)
4 General and overarching topics; collections (00-XX)
4 Approximations and expansions (41-XX)
4 Operations research, mathematical programming (90-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Nonassociative rings and algebras (17-XX)
3 Systems theory; control (93-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)

Citations by Year

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