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## Schoen, Richard Melvin

Compute Distance To:
 Author ID: schoen.richard-m 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
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#### Co-Authors

 22 single-authored 21 Yau, Shing-Tung 8 Simon, Leon Melvin 6 Brendle, Simon 6 Fraser, Ailana M. 5 Li, Peter 4 Wolfson, Jon Gordon 3 Beig, Robert 3 Ji, Lizhen 3 Korevaar, Nicholas Jacob 3 Uhlenbeck, Karen Keskulla 2 Cao, Huai-Dong 2 Huang, Lan-Hsuan 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 Carlotto, Alessandro 1 Chang, Sun-Yung Alice 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 Hoffman, David A. 1 Holcman, David 1 Jian, Huai-Yu 1 Jost, Jürgen 1 Joyce, Dominic David 1 Kazdan, Jerry L. 1 Khuri, Marcus A. 1 Kotake, Takeshi 1 Lee, Dan Archibald 1 Lee, Yng-Ing 1 Li, Jun 1 Mantoulidis, Christos 1 Marques, Fernando Codá 1 Mazzeo, Rafe R. 1 Milman, Vitali D. 1 Nishikawa, Seiki 1 Osserman, Robert 1 Pacard, Frank 1 Pinsky, Mark Allan 1 Polterovich, Leonid Viktorovich 1 Tran, Hung Tuan 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 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 3 Advanced Lectures in Mathematics (ALM) 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 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

 77 Differential geometry (53-XX) 37 Global analysis, analysis on manifolds (58-XX) 21 Partial differential equations (35-XX) 16 Relativity and gravitational theory (83-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 10 General and overarching topics; collections (00-XX) 6 Potential theory (31-XX) 5 Manifolds and cell complexes (57-XX) 4 Several complex variables and analytic spaces (32-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-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

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
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
Proof of the positive mass theorem. II. Zbl 0494.53028
Schoen, Richard; Yau, Shing-Tung
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
1979
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
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
$$L^ p$$ and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005
Li, Peter; Schoen, Richard
1984
The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027
Schoen, Richard M.
1988
Regularity of stable minimal hypersurfaces. Zbl 0497.49034
Schoen, Richard; Simon, Leon
1981
A compactness theorem for the Yamabe problem. Zbl 1162.53029
Khuri, M. A.; Marques, F. C.; Schoen, R. M.
2009
The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052
Fraser, Ailana; Schoen, Richard
2011
Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032
Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard
1999
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
1978
On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016
Corvino, Justin; Schoen, Richard M.
2006
Analytic aspects of the harmonic map problem. Zbl 0551.58011
Schoen, Richard M.
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
1985
Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038
Schoen, Richard M.
1989
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
Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099
Fraser, Ailana; Schoen, Richard
2016
Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020
Brendle, Simon; Schoen, Richard M.
2008
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
1997
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
On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021
Schoen, Richard M.
1991
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
KIDs are non-generic. Zbl 1145.83306
Beig, Robert; Chruściel, Piotr T.; Schoen, Richard
2005
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
Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030
Schoen, Richard; Simon, Leon; Almgren, F. J.
1978
On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009
Jost, Jürgen; Schoen, Richard
1982
Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018
Schoen, Richard; Wolpert, S.; Yau, Shing-Tung
1980
Minimal surfaces and eigenvalue problems. Zbl 1321.35118
Fraser, Ailana; Schoen, Richard
2013
Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112
Schoen, Richard; Wolfson, Jon
1999
A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025
Schoen, Richard M.
1991
Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076
Fraser, Ailana; Schoen, Richard
2015
Localizing solutions of the Einstein constraint equations. Zbl 1353.83010
Carlotto, Alessandro; Schoen, Richard
2016
Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001
Schoen, Richard; Simon, Leon
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
1982
On the Bartnik mass of apparent horizons. Zbl 1326.83051
Mantoulidis, Christos; Schoen, Richard
2015
Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011
Schoen, Richard; Zhou, Xin
2013
The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067
Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard
2016
Sphere theorems in geometry. Zbl 1184.53037
Brendle, Simon; Schoen, Richard
2009
On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073
Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard
2011
On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020
Li, Peter; Schoen, Richard; Yau, Shing-Tung
1984
Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029
Schoen, Richard; Yau, Shing-Tung
1979
Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M.
2006
Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017
Schoen, Richard; Wolfson, Jon
1998
Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020
Brendle, Simon; Schoen, Richard
2011
A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048
Schoen, Richard
1982
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
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
Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139
Fraser, Ailana; Schoen, Richard
2019
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 volume functional for Lagrangian submanifolds. Zbl 1052.53057
Schoen, Richard; Wolfson, Jon
2003
Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070
Schoen, Richard
2013
The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023
Schoen, Richard
1996
Isoperimetric inequality for flat surfaces. Zbl 1192.53070
Choe, Jaigyoung; Schoen, Richard
2009
Special Lagrangian submanifolds. Zbl 1102.53056
Schoen, Richard
2005
Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038
Schoen, Richard
2005
Some results on higher eigenvalue optimization. Zbl 1448.35347
Fraser, Ailana; Schoen, Richard
2020
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
Handbook of geometric analysis. No. 1. Zbl 1144.53004
Ji, Lizhen (ed.); Li, Peter (ed.); Schoen, Richard (ed.); Simon, Leon (ed.)
2008
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
A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043
Schoen, Richard
1982
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
Localizing solutions of the Einstein constraint equations. Zbl 1353.83010
Carlotto, Alessandro; 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
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
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
Ji, Lizhen (ed.); Li, Peter (ed.); Schoen, Richard (ed.); Simon, Leon (ed.)
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
Special Lagrangian submanifolds. Zbl 1102.53056
Schoen, Richard
2005
Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038
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
Analytic aspects of the harmonic map problem. Zbl 0551.58011
Schoen, Richard M.
1984
Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011
Schoen, Richard; Uhlenbeck, Karen
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
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 2,807 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
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#### 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
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#### 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)

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