## Schoen, Richard Melvin

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 Author ID: schoen.richard-m Published as: Schoen, Richard; Schoen, Richard M.; Schoen, R.; Schoen, R. M. more...less 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
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### 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
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### Serials

 9 Inventiones Mathematicae 8 Journal of Differential Geometry 6 Communications in Mathematical Physics 5 Advanced Lectures in Mathematics (ALM) 4 Acta Mathematica 3 Classical and Quantum Gravity 3 Communications on Pure and Applied Mathematics 3 Proceedings of the National Academy of Sciences of the United States of America 2 Advances in Mathematics 2 Commentarii Mathematici Helvetici 2 Communications in Analysis and Geometry 2 Calculus of Variations and Partial Differential Equations 2 Annals of Mathematics. Second Series 2 Annales Henri Poincaré 2 Oberwolfach Reports 2 Conference Proceedings and Lecture Notes in Geometry and Topology 2 Surveys in Differential Geometry 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Gazette des Mathématiciens 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Topology 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Matemática Contemporânea 1 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the Brazilian Mathematical Society. New Series
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### Fields

 85 Differential geometry (53-XX) 44 Global analysis, analysis on manifolds (58-XX) 23 Relativity and gravitational theory (83-XX) 21 Partial differential equations (35-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 General and overarching topics; collections (00-XX) 11 Several complex variables and analytic spaces (32-XX) 8 History and biography (01-XX) 6 Potential theory (31-XX) 5 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Astronomy and astrophysics (85-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX)

### 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
1984
Lectures on differential geometry. Zbl 0830.53001
Schoen, Richard; Yau, Shing-Tung
1994
On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045
Schoen, Richard; Yau, Shing-Tung
1979
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
1982
The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060
Fischer-Colbrie, Doris; Schoen, Richard
1980
Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038
Schoen, Richard; Yau, Shing-Tung
1988
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
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
1979
Proof of the positive mass theorem. II. Zbl 0494.53028
Schoen, Richard; Yau, Shing-Tung
1981
Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004
Korevaar, Nicholas J.; Schoen, Richard M.
1993
On the structure of manifolds with positive scalar curvature. Zbl 0423.53032
Schoen, Richard; Yau, Shing-Tung
1979
Harmonic maps into singular spaces and $$p$$-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
1992
Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037
Schoen, Richard
1983
Curvature estimates for minimal hypersurfaces. Zbl 0323.53039
Schoen, Richard; Simon, Leon; Yau, Shing-Tung
1975
Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045
Anderson, Michael T.; Schoen, Richard
1985
Prescribed scalar curvature on the $$n$$-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
1996
Manifolds with $$1/4$$-pinched curvature are space forms. Zbl 1251.53021
Brendle, Simon; Schoen, Richard
2009
Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040
Schoen, Richard; Yau, Shing-Tung
1976
Regularity of stable minimal hypersurfaces. Zbl 0497.49034
Schoen, Richard; Simon, Leon
1981
$$L^ p$$ and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
1984
The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052
Fraser, Ailana; Schoen, Richard
2011
The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027
Schoen, Richard M.
1988
Conformal metrics with prescribed scalar curvature. Zbl 0628.53041
Escobar, Jose F.; Schoen, Richard M.
1986
Lectures on harmonic maps. Zbl 0886.53004
Schoen, R.; Yau, S.-T.
1997
A compactness theorem for the Yamabe problem. Zbl 1162.53029
Khuri, M. A.; Marques, F. C.; Schoen, R. M.
2009
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
1999
On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016
Corvino, Justin; Schoen, Richard M.
2006
Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099
Fraser, Ailana; Schoen, Richard
2016
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
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
1985
A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070
Galloway, Gregory J.; Schoen, Richard
2006
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
1984
Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012
Schoen, Richard; Yau, Shing-Tung
1979
Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042
Schoen, Richard
1983
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
1997
Analytic aspects of the harmonic map problem. Zbl 0551.58011
Schoen, Richard M.
1984
Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020
Brendle, Simon; Schoen, Richard M.
2008
The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013
Schoen, Richard M.
1993
The existence of a black hole due to condensation of matter. Zbl 0541.53054
Schoen, Richard; Yau, Shing-Tung
1983
On the conformal and CR automorphism groups. Zbl 0835.53015
Schoen, Richard
1995
Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038
Schoen, Richard M.
1989
Minimizing area among Lagrangian surfaces: the mapping problem. Zbl 1052.53056
Schoen, R.; Wolfson, J.
2001
The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031
Schoen, Richard; Yau, Shing Tung
1981
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
1978
A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026
Schoen, Richard; Simon, Leon
1982
KIDs are non-generic. Zbl 1145.83306
Beig, Robert; Chruściel, Piotr T.; Schoen, Richard
2005
Minimal surfaces and eigenvalue problems. Zbl 1321.35118
Fraser, Ailana; Schoen, Richard
2013
Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036
Schoen, Richard; Yau, Shing-Tung
1982
Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076
Fraser, Ailana; Schoen, Richard
2015
On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021
Schoen, Richard M.
1991
On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009
Jost, Jürgen; Schoen, Richard
1982
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
2016
Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018
Schoen, Richard; Wolpert, S.; Yau, Shing-Tung
1980
On the Bartnik mass of apparent horizons. Zbl 1326.83051
Mantoulidis, Christos; Schoen, Richard
2015
Localizing solutions of the Einstein constraint equations. Zbl 1353.83010
Carlotto, Alessandro; Schoen, Richard
2016
A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025
Schoen, Richard M.
1991
Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112
Schoen, Richard; Wolfson, Jon
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
1982
Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001
Schoen, Richard; Simon, Leon
1983
Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139
Fraser, Ailana; Schoen, Richard
2019
Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029
Schoen, Richard; Yau, Shing-Tung
1979
Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011
Schoen, Richard; Zhou, Xin
2013
Sphere theorems in geometry. Zbl 1184.53037
Brendle, Simon; Schoen, Richard
2009
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
1984
A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048
Schoen, Richard
1982
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073
Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard
2011
Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020
Brendle, Simon; Schoen, Richard
2011
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
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
1978
Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017
Schoen, Richard; Wolfson, Jon
1998
Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008
Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao
2011
Minimal submanifolds in higher codimension. Zbl 1151.53344
Schoen, Richard
2006
On static $$n$$-body configurations in relativity. Zbl 1161.83313
Beig, Robert; Schoen, Richard M.
2009
Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015
Schoen, Richard; Tran, Hung
2016
Gravitating opposites attract. Zbl 1181.83025
Beig, Robert; Gibbons, Gary W.; Schoen, Richard M.
2009
The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023
Schoen, Richard
1996
The volume functional for Lagrangian submanifolds. Zbl 1052.53057
Schoen, Richard; Wolfson, Jon
2003
Some results on higher eigenvalue optimization. Zbl 1448.35347
Fraser, Ailana; Schoen, Richard
2020
Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070
Schoen, Richard
2013
Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038
Schoen, Richard
2005
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2014
Special Lagrangian submanifolds. Zbl 1102.53056
Schoen, Richard
2005
Riemannian manifolds of positive curvature. Zbl 1231.53032
Brendle, Simon; Schoen, Richard
2011
Isoperimetric inequality for flat surfaces. Zbl 1192.53070
Choe, Jaigyoung; Schoen, Richard
2009
A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043
Schoen, Richard
1982
Non-linear problems in geometry. Conference held at Katata, September 3–8, 1979. Proceedings of the 6th international Taniguchi symposium. Zbl 0433.53002
1979
Recent progress in geometric partial differential equations. Zbl 0692.35046
Schoen, Richard
1987
Minimal surfaces and positive scalar curvature. Zbl 0561.53002
Schoen, Richard M.
1984
Sphere theorems in geometry. Zbl 1211.53062
Brendle, Simon; Schoen, Richard
2010
Handbook of geometric analysis. No. 1. Zbl 1144.53004
2008
Some results on higher eigenvalue optimization. Zbl 1448.35347
Fraser, Ailana; Schoen, Richard
2020
Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139
Fraser, Ailana; Schoen, Richard
2019
Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099
Fraser, Ailana; Schoen, Richard
2016
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
2016
Localizing solutions of the Einstein constraint equations. Zbl 1353.83010
Carlotto, Alessandro; Schoen, Richard
2016
Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015
Schoen, Richard; Tran, Hung
2016
Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076
Fraser, Ailana; Schoen, Richard
2015
On the Bartnik mass of apparent horizons. Zbl 1326.83051
Mantoulidis, Christos; Schoen, Richard
2015
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2014
Minimal surfaces and eigenvalue problems. Zbl 1321.35118
Fraser, Ailana; Schoen, Richard
2013
Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011
Schoen, Richard; Zhou, Xin
2013
Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070
Schoen, Richard
2013
The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052
Fraser, Ailana; Schoen, Richard
2011
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073
Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard
2011
Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020
Brendle, Simon; Schoen, Richard
2011
Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008
Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao
2011
Riemannian manifolds of positive curvature. Zbl 1231.53032
Brendle, Simon; Schoen, Richard
2011
Sphere theorems in geometry. Zbl 1211.53062
Brendle, Simon; Schoen, Richard
2010
Manifolds with $$1/4$$-pinched curvature are space forms. Zbl 1251.53021
Brendle, Simon; Schoen, Richard
2009
A compactness theorem for the Yamabe problem. Zbl 1162.53029
Khuri, M. A.; Marques, F. C.; Schoen, R. M.
2009
Sphere theorems in geometry. Zbl 1184.53037
Brendle, Simon; Schoen, Richard
2009
On static $$n$$-body configurations in relativity. Zbl 1161.83313
Beig, Robert; Schoen, Richard M.
2009
Gravitating opposites attract. Zbl 1181.83025
Beig, Robert; Gibbons, Gary W.; Schoen, Richard M.
2009
Isoperimetric inequality for flat surfaces. Zbl 1192.53070
Choe, Jaigyoung; Schoen, Richard
2009
Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020
Brendle, Simon; Schoen, Richard M.
2008
Handbook of geometric analysis. No. 1. Zbl 1144.53004
2008
On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016
Corvino, Justin; Schoen, Richard M.
2006
A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070
Galloway, Gregory J.; Schoen, Richard
2006
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
2006
Minimal submanifolds in higher codimension. Zbl 1151.53344
Schoen, Richard
2006
KIDs are non-generic. Zbl 1145.83306
Beig, Robert; Chruściel, Piotr T.; Schoen, Richard
2005
Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038
Schoen, Richard
2005
Special Lagrangian submanifolds. Zbl 1102.53056
Schoen, Richard
2005
The volume functional for Lagrangian submanifolds. Zbl 1052.53057
Schoen, Richard; Wolfson, Jon
2003
Minimizing area among Lagrangian surfaces: the mapping problem. Zbl 1052.53056
Schoen, R.; Wolfson, J.
2001
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
1999
Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112
Schoen, Richard; Wolfson, Jon
1999
Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017
Schoen, Richard; Wolfson, Jon
1998
Lectures on harmonic maps. Zbl 0886.53004
Schoen, R.; Yau, S.-T.
1997
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
1997
Prescribed scalar curvature on the $$n$$-sphere. Zbl 0843.53037
Schoen, Richard; Zhang, Dong
1996
The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023
Schoen, Richard
1996
On the conformal and CR automorphism groups. Zbl 0835.53015
Schoen, Richard
1995
Lectures on differential geometry. Zbl 0830.53001
Schoen, Richard; Yau, Shing-Tung
1994
Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004
Korevaar, Nicholas J.; Schoen, Richard M.
1993
The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013
Schoen, Richard M.
1993
Harmonic maps into singular spaces and $$p$$-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024
Gromov, Mikhail; Schoen, Richard
1992
On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021
Schoen, Richard M.
1991
A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025
Schoen, Richard M.
1991
Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038
Schoen, Richard M.
1989
Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038
Schoen, Richard; Yau, Shing-Tung
1988
The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027
Schoen, Richard M.
1988
Recent progress in geometric partial differential equations. Zbl 0692.35046
Schoen, Richard
1987
Conformal metrics with prescribed scalar curvature. Zbl 0628.53041
Escobar, Jose F.; Schoen, Richard M.
1986
Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045
Anderson, Michael T.; Schoen, Richard
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
1985
Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028
Schoen, Richard
1984
$$L^ p$$ and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
1984
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
1984
Analytic aspects of the harmonic map problem. Zbl 0551.58011
Schoen, Richard M.
1984
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
1984
Minimal surfaces and positive scalar curvature. Zbl 0561.53002
Schoen, Richard M.
1984
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
1983
Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037
Schoen, Richard
1983
Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042
Schoen, Richard
1983
The existence of a black hole due to condensation of matter. Zbl 0541.53054
Schoen, Richard; Yau, Shing-Tung
1983
Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001
Schoen, Richard; Simon, Leon
1983
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
1982
A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026
Schoen, Richard; Simon, Leon
1982
Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036
Schoen, Richard; Yau, Shing-Tung
1982
On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009
Jost, Jürgen; Schoen, Richard
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
1982
A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048
Schoen, Richard
1982
A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043
Schoen, Richard
1982
Proof of the positive mass theorem. II. Zbl 0494.53028
Schoen, Richard; Yau, Shing-Tung
1981
Regularity of stable minimal hypersurfaces. Zbl 0497.49034
Schoen, Richard; Simon, Leon
1981
The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031
Schoen, Richard; Yau, Shing Tung
1981
The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060
Fischer-Colbrie, Doris; Schoen, Richard
1980
Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018
Schoen, Richard; Wolpert, S.; Yau, Shing-Tung
1980
On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045
Schoen, Richard; Yau, Shing-Tung
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
1979
On the structure of manifolds with positive scalar curvature. Zbl 0423.53032
Schoen, Richard; Yau, Shing-Tung
1979
Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012
Schoen, Richard; Yau, Shing-Tung
1979
Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029
Schoen, Richard; Yau, Shing-Tung
1979
Non-linear problems in geometry. Conference held at Katata, September 3–8, 1979. Proceedings of the 6th international Taniguchi symposium. Zbl 0433.53002
1979
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
1978
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
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
1978
Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040
Schoen, Richard; Yau, Shing-Tung
1976
Curvature estimates for minimal hypersurfaces. Zbl 0323.53039
Schoen, Richard; Simon, Leon; Yau, Shing-Tung
1975
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### 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
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### 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)

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