Edit Profile Schoen, Richard Melvin Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0576.53028Schoen, Richard 389 1984 Lectures on differential geometry. Zbl 0830.53001Schoen, Richard; Yau, Shing-Tung 377 1994 On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045Schoen, Richard; Yau, Shing-Tung 311 1979 A regularity theory for harmonic maps. Zbl 0521.58021Schoen, Richard; Uhlenbeck, Karen 264 1982 The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060Fischer-Colbrie, Doris; Schoen, Richard 237 1980 Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038Schoen, Richard; Yau, Shing-Tung 192 1988 Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020Schoen, Richard; Uhlenbeck, Karen 189 1983 Proof of the positive mass theorem. II. Zbl 0494.53028Schoen, Richard; Yau, Shing-Tung 152 1981 Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051Schoen, Richard; Yau, Shing-Tung 148 1979 Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004Korevaar, Nicholas J.; Schoen, Richard M. 143 1993 On the structure of manifolds with positive scalar curvature. Zbl 0423.53032Schoen, Richard; Yau, Shing-Tung 137 1979 Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024Gromov, Mikhail; Schoen, Richard 128 1992 Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037Schoen, Richard 126 1983 Curvature estimates for minimal hypersurfaces. Zbl 0323.53039Schoen, Richard; Simon, Leon; Yau, Shing-Tung 113 1975 Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045Anderson, Michael T.; Schoen, Richard 104 1985 Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037Schoen, Richard; Zhang, Dong 102 1996 Manifolds with \(1/4\)-pinched curvature are space forms. Zbl 1251.53021Brendle, Simon; Schoen, Richard 90 2009 Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040Schoen, Richard; Yau, Shing-Tung 90 1976 Conformal metrics with prescribed scalar curvature. Zbl 0628.53041Escobar, Jose F.; Schoen, Richard M. 83 1986 Lectures on harmonic maps. Zbl 0886.53004Schoen, R.; Yau, S.-T. 82 1997 \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005Li, Peter; Schoen, Richard 82 1984 The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027Schoen, Richard M. 78 1988 Regularity of stable minimal hypersurfaces. Zbl 0497.49034Schoen, Richard; Simon, Leon 74 1981 A compactness theorem for the Yamabe problem. Zbl 1162.53029Khuri, M. A.; Marques, F. C.; Schoen, R. M. 71 2009 The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Zbl 1215.53052Fraser, Ailana; Schoen, Richard 70 2011 Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard 66 1999 On univalent harmonic maps between surfaces. Zbl 0388.58005Schoen, Richard; Yau, Shing-Tung 66 1978 On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016Corvino, Justin; Schoen, Richard M. 62 2006 Analytic aspects of the harmonic map problem. Zbl 0551.58011Schoen, Richard M. 60 1984 The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature. Zbl 0577.53044Choi, Hyeong In; Schoen, Richard 56 1985 Variational theory for the total scalar curvature functional for Riemannian metrics and related topics. Zbl 0702.49038Schoen, Richard M. 55 1989 A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070Galloway, Gregory J.; Schoen, Richard 54 2006 Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011Schoen, Richard; Uhlenbeck, Karen 52 1984 Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012Schoen, Richard; Yau, Shing-Tung 50 1979 Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042Schoen, Richard 49 1983 Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099Fraser, Ailana; Schoen, Richard 48 2016 Classification of manifolds with weakly 1/4-pinched curvatures. Zbl 1157.53020Brendle, Simon; Schoen, Richard M. 46 2008 Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007Korevaar, Nicholas J.; Schoen, Richard M. 44 1997 The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013Schoen, Richard M. 41 1993 The existence of a black hole due to condensation of matter. Zbl 0541.53054Schoen, Richard; Yau, Shing-Tung 37 1983 On the conformal and CR automorphism groups. Zbl 0835.53015Schoen, Richard 35 1995 On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021Schoen, Richard M. 35 1991 Minimizing area among Lagrangian surfaces: the mapping problem. Zbl 1052.53056Schoen, R.; Wolfson, J. 34 2001 The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031Schoen, Richard; Yau, Shing Tung 31 1981 KIDs are non-generic. Zbl 1145.83306Beig, Robert; Chruściel, Piotr T.; Schoen, Richard 26 2005 A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026Schoen, Richard; Simon, Leon 26 1982 Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036Schoen, Richard; Yau, Shing-Tung 26 1982 Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030Schoen, Richard; Simon, Leon; Almgren, F. J. 26 1978 On the existence of harmonic diffeomorphisms between surfaces. Zbl 0488.58009Jost, Jürgen; Schoen, Richard 22 1982 Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018Schoen, Richard; Wolpert, S.; Yau, Shing-Tung 22 1980 Minimal surfaces and eigenvalue problems. Zbl 1321.35118Fraser, Ailana; Schoen, Richard 21 2013 Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112Schoen, Richard; Wolfson, Jon 19 1999 A report on some recent progress on nonlinear problems in geometry. Zbl 0752.53025Schoen, Richard M. 18 1991 Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076Fraser, Ailana; Schoen, Richard 17 2015 Localizing solutions of the Einstein constraint equations. Zbl 1353.83010Carlotto, Alessandro; Schoen, Richard 14 2016 Regularity of simply connected surfaces with quasiconformal Gauss map. Zbl 0544.53001Schoen, Richard; Simon, Leon 14 1983 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 14 1982 On the Bartnik mass of apparent horizons. Zbl 1326.83051Mantoulidis, Christos; Schoen, Richard 13 2015 Convexity of reduced energy and mass angular momentum inequalities. Zbl 1278.83011Schoen, Richard; Zhou, Xin 13 2013 The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard 12 2016 Sphere theorems in geometry. Zbl 1184.53037Brendle, Simon; Schoen, Richard 11 2009 On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard 10 2011 On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020Li, Peter; Schoen, Richard; Yau, Shing-Tung 10 1984 Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029Schoen, Richard; Yau, Shing-Tung 10 1979 Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040Guan, Bo; Jian, Huai-Yu; Schoen, Richard M. 9 2006 Theorems of Barth-Lefschetz type and Morse theory on the space of paths. Zbl 0939.58017Schoen, Richard; Wolfson, Jon 9 1998 Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020Brendle, Simon; Schoen, Richard 8 2011 A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048Schoen, Richard 8 1982 Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao 7 2011 Minimal submanifolds in higher codimension. Zbl 1151.53344Schoen, Richard 7 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 7 1978 Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139Fraser, Ailana; Schoen, Richard 6 2019 On static \(n\)-body configurations in relativity. Zbl 1161.83313Beig, Robert; Schoen, Richard M. 6 2009 Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015Schoen, Richard; Tran, Hung 5 2016 Gravitating opposites attract. Zbl 1181.83025Beig, Robert; Gibbons, Gary W.; Schoen, Richard M. 5 2009 The volume functional for Lagrangian submanifolds. Zbl 1052.53057Schoen, Richard; Wolfson, Jon 4 2003 Existence and geometric structure of metrics on surfaces which extremize eigenvalues. Zbl 1336.53070Schoen, Richard 3 2013 The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023Schoen, Richard 3 1996 Isoperimetric inequality for flat surfaces. Zbl 1192.53070Choe, Jaigyoung; Schoen, Richard 2 2009 Special Lagrangian submanifolds. Zbl 1102.53056Schoen, Richard 2 2005 Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038Schoen, Richard 2 2005 Some results on higher eigenvalue optimization. Zbl 1448.35347Fraser, Ailana; Schoen, Richard 1 2020 Riemannian manifolds of positive curvature. Zbl 1231.53032Brendle, Simon; Schoen, Richard 1 2011 Sphere theorems in geometry. Zbl 1211.53062Brendle, Simon; Schoen, Richard 1 2010 Handbook of geometric analysis. No. 1. Zbl 1144.53004Ji, Lizhen (ed.); Li, Peter (ed.); Schoen, Richard (ed.); Simon, Leon (ed.) 1 2008 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 A remark on minimal hypercones (tangent cone/stable hypersurface/ scalar curvature). Zbl 0488.53043Schoen, Richard 1 1982 Some results on higher eigenvalue optimization. Zbl 1448.35347Fraser, Ailana; Schoen, Richard 1 2020 Shape optimization for the Steklov problem in higher dimensions. Zbl 1419.35139Fraser, Ailana; Schoen, Richard 6 2019 Sharp eigenvalue bounds and minimal surfaces in the ball. Zbl 1337.35099Fraser, Ailana; Schoen, Richard 48 2016 Localizing solutions of the Einstein constraint equations. Zbl 1353.83010Carlotto, Alessandro; Schoen, Richard 14 2016 The spacetime positive mass theorem in dimensions less than eight. Zbl 1341.53067Eichmair, Michael; Huang, Lan-Hsuan; Lee, Dan A.; Schoen, Richard 12 2016 Complete manifolds with bounded curvature and spectral gaps. Zbl 1343.58015Schoen, Richard; Tran, Hung 5 2016 Uniqueness theorems for free boundary minimal disks in space forms. Zbl 1325.53076Fraser, Ailana; Schoen, Richard 17 2015 On the Bartnik mass of apparent horizons. Zbl 1326.83051Mantoulidis, Christos; Schoen, Richard 13 2015 Minimal surfaces and eigenvalue problems. Zbl 1321.35118Fraser, Ailana; Schoen, Richard 21 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 70 2011 On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds. Zbl 1230.53073Joyce, Dominic; Lee, Yng-Ing; Schoen, Richard 10 2011 Curvature, sphere theorems, and the Ricci flow. Zbl 1251.53020Brendle, Simon; Schoen, Richard 8 2011 Specifying angular momentum and center of mass for vacuum initial data sets. Zbl 1227.83008Huang, Lan-Hsuan; Schoen, Richard; Wang, Mu-Tao 7 2011 Riemannian manifolds of positive curvature. Zbl 1231.53032Brendle, Simon; Schoen, Richard 1 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 90 2009 A compactness theorem for the Yamabe problem. Zbl 1162.53029Khuri, M. A.; Marques, F. C.; Schoen, R. M. 71 2009 Sphere theorems in geometry. Zbl 1184.53037Brendle, Simon; Schoen, Richard 11 2009 On static \(n\)-body configurations in relativity. Zbl 1161.83313Beig, Robert; Schoen, Richard M. 6 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. 46 2008 Handbook of geometric analysis. No. 1. Zbl 1144.53004Ji, Lizhen (ed.); Li, Peter (ed.); Schoen, Richard (ed.); Simon, Leon (ed.) 1 2008 On the asymptotics for the vacuum Einstein constraint equations. Zbl 1122.58016Corvino, Justin; Schoen, Richard M. 62 2006 A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070Galloway, Gregory J.; Schoen, Richard 54 2006 Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. Zbl 1097.53040Guan, Bo; Jian, Huai-Yu; Schoen, Richard M. 9 2006 Minimal submanifolds in higher codimension. Zbl 1151.53344Schoen, Richard 7 2006 KIDs are non-generic. Zbl 1145.83306Beig, Robert; Chruściel, Piotr T.; Schoen, Richard 26 2005 Special Lagrangian submanifolds. Zbl 1102.53056Schoen, Richard 2 2005 Mean curvature in Riemannian geometry and general relativity. Zbl 1101.53038Schoen, 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. 34 2001 Refined asymptotics for constant scalar curvature metrics with isolated singularities. Zbl 0958.53032Korevaar, Nick; Mazzeo, Rafe; Pacard, Frank; Schoen, Richard 66 1999 Minimizing volume among Lagrangian submanifolds. Zbl 1031.53112Schoen, Richard; Wolfson, Jon 19 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. 82 1997 Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007Korevaar, Nicholas J.; Schoen, Richard M. 44 1997 Prescribed scalar curvature on the \(n\)-sphere. Zbl 0843.53037Schoen, Richard; Zhang, Dong 102 1996 The effect of curvature on the behavior of harmonic functions and mappings. Zbl 0852.58023Schoen, Richard 3 1996 On the conformal and CR automorphism groups. Zbl 0835.53015Schoen, Richard 35 1995 Lectures on differential geometry. Zbl 0830.53001Schoen, Richard; Yau, Shing-Tung 377 1994 Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004Korevaar, Nicholas J.; Schoen, Richard M. 143 1993 The role of harmonic mappings in rigidity and deformation problems. Zbl 0806.58013Schoen, Richard M. 41 1993 Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one. Zbl 0896.58024Gromov, Mikhail; Schoen, Richard 128 1992 On the number of constant scalar curvature metrics in a conformal class. Zbl 0733.53021Schoen, Richard M. 35 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. 55 1989 Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038Schoen, Richard; Yau, Shing-Tung 192 1988 The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Zbl 0674.35027Schoen, Richard M. 78 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. 83 1986 Positive harmonic functions on complete manifolds of negative curvature. Zbl 0587.53045Anderson, Michael T.; Schoen, Richard 104 1985 The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature. Zbl 0577.53044Choi, Hyeong In; Schoen, Richard 56 1985 Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028Schoen, Richard 389 1984 \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds. Zbl 0556.31005Li, Peter; Schoen, Richard 82 1984 Analytic aspects of the harmonic map problem. Zbl 0551.58011Schoen, Richard M. 60 1984 Regularity of minimizing harmonic maps into the sphere. Zbl 0555.58011Schoen, Richard; Uhlenbeck, Karen 52 1984 On the isoperimetric inequality for minimal surfaces. Zbl 0551.49020Li, Peter; Schoen, Richard; Yau, Shing-Tung 10 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 189 1983 Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037Schoen, Richard 126 1983 Estimates for stable minimal surfaces in three-dimensional manifolds. Zbl 0532.53042Schoen, Richard 49 1983 The existence of a black hole due to condensation of matter. Zbl 0541.53054Schoen, Richard; Yau, Shing-Tung 37 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 264 1982 A new proof of the regularity theorem for rectifiable currents which minimize parametric elliptic functionals. Zbl 0516.49026Schoen, Richard; Simon, Leon 26 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 22 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 14 1982 A lower bound for the first eigenvalue of a negatively curved manifold. Zbl 0516.53048Schoen, Richard 8 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 152 1981 Regularity of stable minimal hypersurfaces. Zbl 0497.49034Schoen, Richard; Simon, Leon 74 1981 The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031Schoen, Richard; Yau, Shing Tung 31 1981 The structure of complete stable minimal surfaces in 3-manifolds of non- negative scalar curvature. Zbl 0439.53060Fischer-Colbrie, Doris; Schoen, Richard 237 1980 Geometric bounds on the low eigenvalues of a compact surface. Zbl 0446.58018Schoen, Richard; Wolpert, S.; Yau, Shing-Tung 22 1980 On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045Schoen, Richard; Yau, Shing-Tung 311 1979 Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051Schoen, Richard; Yau, Shing-Tung 148 1979 On the structure of manifolds with positive scalar curvature. Zbl 0423.53032Schoen, Richard; Yau, Shing-Tung 137 1979 Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012Schoen, Richard; Yau, Shing-Tung 50 1979 Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. Zbl 0415.53029Schoen, Richard; Yau, Shing-Tung 10 1979 On univalent harmonic maps between surfaces. Zbl 0388.58005Schoen, Richard; Yau, Shing-Tung 66 1978 Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals. Zbl 0386.49030Schoen, Richard; Simon, Leon; Almgren, F. J. 26 1978 Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity. Zbl 0385.53052Schoen, Richard; Yau, Shing-Tung 7 1978 Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040Schoen, Richard; Yau, Shing-Tung 90 1976 Curvature estimates for minimal hypersurfaces. Zbl 0323.53039Schoen, Richard; Simon, Leon; Yau, Shing-Tung 113 1975 all cited Publications top 5 cited Publications all top 5 Cited by 2,807 Authors 35 Yau, Shing-Tung 28 Wei, Juncheng 27 Meeks, William Hamilton III 26 Schoen, Richard Melvin 25 Khuri, Marcus A. 25 Li, YanYan 25 Rigoli, Marco 23 Jost, Jürgen 20 Lin, Fang Hua 19 Hebey, Emmanuel 19 Ma, Li 19 Xia, Changyu 18 Brendle, Simon 18 Miao, Pengzi 17 Chtioui, Hichem 17 Ho, Pak Tung 17 Robert, Frédéric 16 Malchiodi, Andrea 16 Pacard, Frank 16 Tam, Luen-Fai 16 Wang, Changyou 16 Yang, Paul C. P. 15 Bethuel, Fabrice 15 Li, Haizhong 15 Wang, Guofang 14 Barbosa, Ezequiel R. 14 Marques, Fernando Codá 14 Pistoia, Angela 14 Wang, Qiaoling 13 Brézis, Haïm 13 Druet, Olivier 13 Fu, Haiping 13 Giaquinta, Mariano 13 Mese, Chikako 13 White, Brian Cabell 13 Xu, Hongwei 13 Zhou, Detang 12 Chang, Sun-Yung Alice 12 Del Pino, Manuel A. 12 Humbert, Emmanuel 12 Leung, Man Chun 12 Li, Jiayu 12 Lin, Chang-Shou 12 Ripoll, Jaime Bruck 12 Viaclovsky, Jeff A. 12 Xin, Yuanlong 12 Zhang, Lei 11 Arroja Neves, André 11 Carlotto, Alessandro 11 Chen, Jingyi 11 Chruściel, Piotr Tadeusz 11 Galloway, Gregory J. 11 Hardt, Robert M. 11 Huang, Lan-Hsuan 11 Ni, Lei 11 Pigola, Stefano 11 Qing, Jie 11 Seshadri, Harish 11 Sire, Yannick 11 Veronelli, Giona 11 Wenger, Stefan 11 Xiong, Jingang 11 Yamada, Sumio 11 Zhang, Xiao 10 Akutagawa, Kazuo 10 Hoffman, David A. 10 Li, Xiang-Dong 10 McInnes, Brett 10 Ould Ahmedou, Mohameden 10 Petean, Jimmy 10 Rosenberg, Harold 10 Shi, Yuguang 10 Vétois, Jérôme 10 Wang, Mu-Tao 9 Alarcón, Antonio 9 Ammann, Bernd Eberhard 9 Eichmair, Michael 9 Espinar, José María 9 González, María del Mar 9 Lytchak, Alexander 9 Mari, Luciano 9 Nakauchi, Nobumitsu 9 Bessa, Gregório Pacelli 9 Sormani, Christina 9 Tian, Gang 9 Weinstein, Gilbert 9 Xiao, Jie 9 Xie, Naqing 9 Xu, Xingwang 8 Cheeger, Jeff 8 Daskalopoulos, Georgios D. 8 Fraser, Ailana M. 8 Goodrich, Christopher S. 8 Grigor’yan, Alexander Asaturovich 8 Han, Zheng-Chao 8 Huang, Zheng 8 Isobe, Takeshi 8 Iwaniec, Tadeusz 8 Kalaj, David 8 Kunduri, Hari K. ...and 2,707 more Authors all top 5 Cited in 294 Serials 210 Calculus of Variations and Partial Differential Equations 151 The Journal of Geometric Analysis 126 Proceedings of the American Mathematical Society 123 Communications in Mathematical Physics 123 Transactions of the American Mathematical Society 109 Mathematische Annalen 93 Inventiones Mathematicae 93 Journal of Functional Analysis 92 Manuscripta Mathematica 92 Annals of Global Analysis and Geometry 84 Mathematische Zeitschrift 83 Advances in Mathematics 75 Journal of Differential Equations 73 Journal of Geometry and Physics 67 Duke Mathematical Journal 63 Geometriae Dedicata 60 Journal of Mathematical Analysis and Applications 60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 59 Differential Geometry and its Applications 54 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 42 Communications in Partial Differential Equations 40 Journal of Mathematical Physics 37 Archive for Rational Mechanics and Analysis 37 Bulletin of the American Mathematical Society. New Series 37 Communications in Contemporary Mathematics 34 General Relativity and Gravitation 34 Annales Henri Poincaré 32 Annales de l’Institut Fourier 32 Journal für die Reine und Angewandte Mathematik 31 Geometric and Functional Analysis. GAFA 30 Journal of the American Mathematical Society 30 Geometry & Topology 29 Tohoku Mathematical Journal. Second Series 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 Annali di Matematica Pura ed Applicata. Serie Quarta 27 Annals of Mathematics. Second Series 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 International Journal of Mathematics 24 Journal of High Energy Physics 21 Communications on Pure and Applied Mathematics 21 Acta Mathematica 20 Israel Journal of Mathematics 18 Pacific Journal of Mathematics 17 Potential Analysis 17 Journal of the European Mathematical Society (JEMS) 17 Acta Mathematica Sinica. English Series 16 Frontiers of Mathematics in China 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Science China. Mathematics 15 Nonlinear Analysis. Theory, Methods & Applications 14 Nuclear Physics. B 14 Archiv der Mathematik 14 Chinese Annals of Mathematics. Series B 14 Advances in Calculus of Variations 13 Results in Mathematics 13 Revista Matemática Iberoamericana 12 Journal of Computational Physics 12 Bulletin des Sciences Mathématiques 12 Discrete and Continuous Dynamical Systems 12 Living Reviews in Relativity 11 Classical and Quantum Gravity 11 Compositio Mathematica 11 Mathematische Nachrichten 10 Journal d’Analyse Mathématique 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Bulletin of the Brazilian Mathematical Society. New Series 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9 Memoirs of the American Mathematical Society 9 Monatshefte für Mathematik 9 Journal of Topology and Analysis 8 The Annals of Probability 8 Nagoya Mathematical Journal 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Journal of Mathematical Sciences (New York) 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Journal of Fixed Point Theory and Applications 7 International Journal of Modern Physics A 7 Bulletin of the Australian Mathematical Society 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Bulletin de la Société Mathématique de France 7 Illinois Journal of Mathematics 7 Topology and its Applications 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Physical Review Letters 7 Advanced Nonlinear Studies 7 Groups, Geometry, and Dynamics 7 Analysis and Geometry in Metric Spaces 6 Letters in Mathematical Physics 6 Journal of the Mathematical Society of Japan 6 Michigan Mathematical Journal 6 Osaka Journal of Mathematics 6 Ergodic Theory and Dynamical Systems 6 Journal of Scientific Computing 6 Science in China. Series A 6 SIAM Journal on Mathematical Analysis 6 Acta Mathematica Sinica. New Series 6 Chinese Science Bulletin 6 International Journal of Modern Physics D 6 Applied Mathematics. Series B (English Edition) 6 Abstract and Applied Analysis ...and 194 more Serials all top 5 Cited in 52 Fields 2,165 Differential geometry (53-XX) 1,171 Global analysis, analysis on manifolds (58-XX) 987 Partial differential equations (35-XX) 382 Relativity and gravitational theory (83-XX) 347 Calculus of variations and optimal control; optimization (49-XX) 189 Several complex variables and analytic spaces (32-XX) 177 Manifolds and cell complexes (57-XX) 140 Functions of a complex variable (30-XX) 123 Potential theory (31-XX) 122 Functional analysis (46-XX) 79 Quantum theory (81-XX) 56 Probability theory and stochastic processes (60-XX) 54 Group theory and generalizations (20-XX) 53 Dynamical systems and ergodic theory (37-XX) 52 Fluid mechanics (76-XX) 49 Topological groups, Lie groups (22-XX) 48 Numerical analysis (65-XX) 48 Statistical mechanics, structure of matter (82-XX) 47 Algebraic geometry (14-XX) 42 Algebraic topology (55-XX) 34 Operator theory (47-XX) 29 Real functions (26-XX) 26 Convex and discrete geometry (52-XX) 22 Mechanics of deformable solids (74-XX) 19 Combinatorics (05-XX) 18 Measure and integration (28-XX) 18 Geometry (51-XX) 17 General topology (54-XX) 15 Mechanics of particles and systems (70-XX) 14 Number theory (11-XX) 14 Ordinary differential equations (34-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Abstract harmonic analysis (43-XX) 12 \(K\)-theory (19-XX) 12 Computer science (68-XX) 10 History and biography (01-XX) 10 Astronomy and astrophysics (85-XX) 7 Integral equations (45-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Special functions (33-XX) 4 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Approximations and expansions (41-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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