Edit Profile (opens in new tab) Schoen, Richard Melvin Compute Distance To: Compute 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 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0576.53028Schoen, Richard 428 1984 Lectures on differential geometry. Zbl 0830.53001Schoen, Richard; Yau, Shing-Tung 383 1994 On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045Schoen, Richard; Yau, Shing-Tung 346 1979 A regularity theory for harmonic maps. Zbl 0521.58021Schoen, Richard; Uhlenbeck, Karen 285 1982 The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060Fischer-Colbrie, Doris; Schoen, Richard 249 1980 Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038Schoen, Richard; Yau, Shing-Tung 212 1988 Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020Schoen, Richard; Uhlenbeck, Karen 199 1983 Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051Schoen, Richard; Yau, Shing-Tung 168 1979 Proof of the positive mass theorem. II. Zbl 0494.53028Schoen, Richard; Yau, Shing-Tung 163 1981 Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004Korevaar, Nicholas J.; Schoen, Richard M. 158 1993 On the structure of manifolds with positive scalar curvature. Zbl 0423.53032Schoen, Richard; Yau, Shing-Tung 151 1979 Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024Gromov, Mikhail; Schoen, Richard 143 1992 Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037Schoen, Richard 136 1983 Curvature estimates for minimal hypersurfaces. Zbl 0323.53039Schoen, Richard; Simon, Leon; Yau, Shing-Tung 125 1975 Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045Anderson, Michael T.; Schoen, Richard 113 1985 Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037Schoen, Richard; Zhang, Dong 110 1996 Manifolds with \(1/4\)-pinched curvature are space forms. Zbl 1251.53021Brendle, Simon; Schoen, Richard 103 2009 Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040Schoen, Richard; Yau, Shing-Tung 96 1976 Regularity of stable minimal hypersurfaces. Zbl 0497.49034Schoen, Richard; Simon, Leon 91 1981 \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005Li, Peter; Schoen, Richard 91 1984 The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052Fraser, Ailana; Schoen, Richard 91 2011 The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027Schoen, Richard M. 89 1988 Conformal metrics with prescribed scalar curvature. Zbl 0628.53041Escobar, Jose F.; Schoen, Richard M. 86 1986 Lectures on harmonic maps. Zbl 0886.53004Schoen, R.; Yau, S.-T. 84 1997 A compactness theorem for the Yamabe problem. Zbl 1162.53029Khuri, M. A.; Marques, F. C.; Schoen, R. M. 82 2009 Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard 74 1999 On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016Corvino, Justin; Schoen, Richard M. 72 2006 Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099Fraser, Ailana; Schoen, Richard 70 2016 On univalent harmonic maps between surfaces. Zbl 0388.58005Schoen, Richard; Yau, Shing-Tung 69 1978 The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature. Zbl 0577.53044Choi, Hyeong In; Schoen, Richard 63 1985 A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070Galloway, Gregory J.; Schoen, Richard 58 2006 Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011Schoen, Richard; Uhlenbeck, Karen 55 1984 Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012Schoen, Richard; Yau, Shing-Tung 52 1979 Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042Schoen, Richard 52 1983 Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007Korevaar, Nicholas J.; Schoen, Richard M. 49 1997 Analytic aspects of the harmonic map problem. Zbl 0551.58011Schoen, Richard M. 48 1984 Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020Brendle, Simon; Schoen, Richard M. 48 2008 The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013Schoen, Richard M. 47 1993 The existence of a black hole due to condensation of matter. Zbl 0541.53054Schoen, Richard; Yau, Shing-Tung 41 1983 On the conformal and CR automorphism groups. Zbl 0835.53015Schoen, Richard 38 1995 Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038Schoen, Richard M. 38 1989 Minimizing area among Lagrangian surfaces: the mapping problem. Zbl 1052.53056Schoen, R.; Wolfson, J. 37 2001 The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031Schoen, Richard; Yau, Shing Tung 35 1981 Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030Schoen, Richard; Simon, Leon; Almgren, F. J. 29 1978 A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026Schoen, Richard; Simon, Leon 29 1982 KIDs are non-generic. Zbl 1145.83306Beig, Robert; Chruściel, Piotr T.; Schoen, Richard 28 2005 Minimal surfaces and eigenvalue problems. Zbl 1321.35118Fraser, Ailana; Schoen, Richard 27 2013 Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036Schoen, Richard; Yau, Shing-Tung 26 1982 Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076Fraser, Ailana; Schoen, Richard 24 2015 On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021Schoen, Richard M. 24 1991 On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009Jost, Jürgen; Schoen, Richard 23 1982 The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard 21 2016 Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018Schoen, Richard; Wolpert, S.; Yau, Shing-Tung 20 1980 On the Bartnik mass of apparent horizons. Zbl 1326.83051Mantoulidis, Christos; Schoen, Richard 19 2015 Localizing solutions of the Einstein constraint equations. Zbl 1353.83010Carlotto, Alessandro; Schoen, Richard 19 2016 A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025Schoen, Richard M. 18 1991 Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112Schoen, Richard; Wolfson, Jon 17 1999 On the Gauss map of complete surfaces of constant mean curvature in \(R^ 3 \)and \(R^ 4\). Zbl 0512.53008Hoffman, D. A.; Osserman, R.; Schoen, Richard 15 1982 Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001Schoen, Richard; Simon, Leon 14 1983 Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139Fraser, Ailana; Schoen, Richard 14 2019 Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029Schoen, Richard; Yau, Shing-Tung 13 1979 Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011Schoen, Richard; Zhou, Xin 13 2013 Sphere theorems in geometry. Zbl 1184.53037Brendle, Simon; Schoen, Richard 13 2009 On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020Li, Peter; Schoen, Richard; Yau, Shing-Tung 12 1984 A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048Schoen, Richard 11 1982 On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard 11 2011 Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020Brendle, Simon; Schoen, Richard 11 2011 Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040Guan, 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 0385.53052Schoen, Richard; Yau, Shing-Tung 10 1978 Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017Schoen, Richard; Wolfson, Jon 9 1998 Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao 9 2011 Minimal submanifolds in higher codimension. Zbl 1151.53344Schoen, Richard 9 2006 On static \(n\)-body configurations in relativity. Zbl 1161.83313Beig, Robert; Schoen, Richard M. 7 2009 Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015Schoen, Richard; Tran, Hung 6 2016 Gravitating opposites attract. Zbl 1181.83025Beig, Robert; Gibbons, Gary W.; Schoen, Richard M. 5 2009 The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023Schoen, Richard 4 1996 The volume functional for Lagrangian submanifolds. Zbl 1052.53057Schoen, Richard; Wolfson, Jon 4 2003 Some results on higher eigenvalue optimization. Zbl 1448.35347Fraser, Ailana; Schoen, Richard 4 2020 Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070Schoen, Richard 3 2013 Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038Schoen, Richard 3 2005 Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046Yau, Shing-Tung 2 2014 Special Lagrangian submanifolds. Zbl 1102.53056Schoen, Richard 2 2005 Riemannian manifolds of positive curvature. Zbl 1231.53032Brendle, Simon; Schoen, Richard 2 2011 Isoperimetric inequality for flat surfaces. Zbl 1192.53070Choe, Jaigyoung; Schoen, Richard 2 2009 A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043Schoen, 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 0692.35046Schoen, Richard 1 1987 Minimal surfaces and positive scalar curvature. Zbl 0561.53002Schoen, Richard M. 1 1984 Sphere theorems in geometry. Zbl 1211.53062Brendle, Simon; Schoen, Richard 1 2010 Handbook of geometric analysis. No. 1. Zbl 1144.53004 1 2008 Some results on higher eigenvalue optimization. Zbl 1448.35347Fraser, Ailana; Schoen, Richard 4 2020 Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139Fraser, Ailana; Schoen, Richard 14 2019 Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099Fraser, Ailana; Schoen, Richard 70 2016 The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard 21 2016 Localizing solutions of the Einstein constraint equations. Zbl 1353.83010Carlotto, Alessandro; Schoen, Richard 19 2016 Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015Schoen, Richard; Tran, Hung 6 2016 Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076Fraser, Ailana; Schoen, Richard 24 2015 On the Bartnik mass of apparent horizons. Zbl 1326.83051Mantoulidis, Christos; Schoen, Richard 19 2015 Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046Yau, Shing-Tung 2 2014 Minimal surfaces and eigenvalue problems. Zbl 1321.35118Fraser, Ailana; Schoen, Richard 27 2013 Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011Schoen, Richard; Zhou, Xin 13 2013 Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070Schoen, Richard 3 2013 The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052Fraser, Ailana; Schoen, Richard 91 2011 On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard 11 2011 Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020Brendle, Simon; Schoen, Richard 11 2011 Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao 9 2011 Riemannian manifolds of positive curvature. Zbl 1231.53032Brendle, Simon; Schoen, Richard 2 2011 Sphere theorems in geometry. Zbl 1211.53062Brendle, Simon; Schoen, Richard 1 2010 Manifolds with \(1/4\)-pinched curvature are space forms. Zbl 1251.53021Brendle, Simon; Schoen, Richard 103 2009 A compactness theorem for the Yamabe problem. Zbl 1162.53029Khuri, M. A.; Marques, F. C.; Schoen, R. M. 82 2009 Sphere theorems in geometry. Zbl 1184.53037Brendle, Simon; Schoen, Richard 13 2009 On static \(n\)-body configurations in relativity. Zbl 1161.83313Beig, Robert; Schoen, Richard M. 7 2009 Gravitating opposites attract. Zbl 1181.83025Beig, Robert; Gibbons, Gary W.; Schoen, Richard M. 5 2009 Isoperimetric inequality for flat surfaces. Zbl 1192.53070Choe, Jaigyoung; Schoen, Richard 2 2009 Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020Brendle, 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 1122.58016Corvino, Justin; Schoen, Richard M. 72 2006 A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070Galloway, Gregory J.; Schoen, Richard 58 2006 Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040Guan, Bo; Jian, Huai-Yu; Schoen, Richard M. 10 2006 Minimal submanifolds in higher codimension. Zbl 1151.53344Schoen, Richard 9 2006 KIDs are non-generic. Zbl 1145.83306Beig, Robert; Chruściel, Piotr T.; Schoen, Richard 28 2005 Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038Schoen, Richard 3 2005 Special Lagrangian submanifolds. Zbl 1102.53056Schoen, Richard 2 2005 The volume functional for Lagrangian submanifolds. Zbl 1052.53057Schoen, Richard; Wolfson, Jon 4 2003 Minimizing area among Lagrangian surfaces: the mapping problem. Zbl 1052.53056Schoen, R.; Wolfson, J. 37 2001 Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard 74 1999 Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112Schoen, Richard; Wolfson, Jon 17 1999 Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017Schoen, Richard; Wolfson, Jon 9 1998 Lectures on harmonic maps. Zbl 0886.53004Schoen, R.; Yau, S.-T. 84 1997 Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007Korevaar, Nicholas J.; Schoen, Richard M. 49 1997 Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037Schoen, Richard; Zhang, Dong 110 1996 The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023Schoen, Richard 4 1996 On the conformal and CR automorphism groups. Zbl 0835.53015Schoen, Richard 38 1995 Lectures on differential geometry. Zbl 0830.53001Schoen, Richard; Yau, Shing-Tung 383 1994 Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004Korevaar, Nicholas J.; Schoen, Richard M. 158 1993 The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013Schoen, Richard M. 47 1993 Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024Gromov, Mikhail; Schoen, Richard 143 1992 On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021Schoen, Richard M. 24 1991 A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025Schoen, Richard M. 18 1991 Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038Schoen, Richard M. 38 1989 Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038Schoen, Richard; Yau, Shing-Tung 212 1988 The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027Schoen, Richard M. 89 1988 Recent progress in geometric partial differential equations. Zbl 0692.35046Schoen, Richard 1 1987 Conformal metrics with prescribed scalar curvature. Zbl 0628.53041Escobar, Jose F.; Schoen, Richard M. 86 1986 Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045Anderson, Michael T.; Schoen, Richard 113 1985 The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature. Zbl 0577.53044Choi, Hyeong In; Schoen, Richard 63 1985 Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028Schoen, Richard 428 1984 \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005Li, Peter; Schoen, Richard 91 1984 Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011Schoen, Richard; Uhlenbeck, Karen 55 1984 Analytic aspects of the harmonic map problem. Zbl 0551.58011Schoen, Richard M. 48 1984 On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020Li, Peter; Schoen, Richard; Yau, Shing-Tung 12 1984 Minimal surfaces and positive scalar curvature. Zbl 0561.53002Schoen, Richard M. 1 1984 Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020Schoen, Richard; Uhlenbeck, Karen 199 1983 Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037Schoen, Richard 136 1983 Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042Schoen, Richard 52 1983 The existence of a black hole due to condensation of matter. Zbl 0541.53054Schoen, Richard; Yau, Shing-Tung 41 1983 Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001Schoen, Richard; Simon, Leon 14 1983 A regularity theory for harmonic maps. Zbl 0521.58021Schoen, Richard; Uhlenbeck, Karen 285 1982 A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026Schoen, Richard; Simon, Leon 29 1982 Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036Schoen, Richard; Yau, Shing-Tung 26 1982 On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009Jost, Jürgen; Schoen, Richard 23 1982 On the Gauss map of complete surfaces of constant mean curvature in \(R^ 3 \)and \(R^ 4\). Zbl 0512.53008Hoffman, D. A.; Osserman, R.; Schoen, Richard 15 1982 A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048Schoen, Richard 11 1982 A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043Schoen, Richard 1 1982 Proof of the positive mass theorem. II. Zbl 0494.53028Schoen, Richard; Yau, Shing-Tung 163 1981 Regularity of stable minimal hypersurfaces. Zbl 0497.49034Schoen, Richard; Simon, Leon 91 1981 The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031Schoen, Richard; Yau, Shing Tung 35 1981 The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060Fischer-Colbrie, Doris; Schoen, Richard 249 1980 Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018Schoen, Richard; Wolpert, S.; Yau, Shing-Tung 20 1980 On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045Schoen, Richard; Yau, Shing-Tung 346 1979 Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051Schoen, Richard; Yau, Shing-Tung 168 1979 On the structure of manifolds with positive scalar curvature. Zbl 0423.53032Schoen, Richard; Yau, Shing-Tung 151 1979 Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012Schoen, Richard; Yau, Shing-Tung 52 1979 Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029Schoen, 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 0388.58005Schoen, Richard; Yau, Shing-Tung 69 1978 Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030Schoen, 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 0385.53052Schoen, Richard; Yau, Shing-Tung 10 1978 Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040Schoen, Richard; Yau, Shing-Tung 96 1976 Curvature estimates for minimal hypersurfaces. Zbl 0323.53039Schoen, Richard; Simon, Leon; Yau, Shing-Tung 125 1975 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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