Edit Profile (opens in new tab) Viaclovsky, Jeff A. Compute Distance To: Compute Author ID: viaclovsky.jeff-a Published as: Viaclovsky, Jeff A.; Viaclovsky, Jeff Documents Indexed: 43 Publications since 2000 Co-Authors: 19 Co-Authors with 33 Joint Publications 503 Co-Co-Authors all top 5 Co-Authors 10 single-authored 8 Gursky, Matthew J. 4 Lock, Michael T. 3 Han, Jiyuan 3 Tian, Gang 2 Ache, Antonio G. 2 Borisov, Lev A. 2 Honda, Nobuhiro 2 Salamon, Simon Montague 2 Zhang, Ruobing 1 Brendle, Simon 1 Caffarelli, Luis Ángel 1 Chen, Gao 1 Guan, Pengfei 1 Hein, Hans-Joachim 1 Ju, Tao 1 Morteza, Peyman 1 Sun, Song 1 Uhlenbeck, Karen Keskulla 1 Wang, Guofang all top 5 Serials 4 Advances in Mathematics 2 Communications in Mathematical Physics 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Communications in Analysis and Geometry 2 Geometry & Topology 2 Journal of the European Mathematical Society (JEMS) 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Proceedings of the Steklov Institute of Mathematics 1 Forum of Mathematics, Sigma all top 5 Fields 36 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 9 Partial differential equations (35-XX) 8 Manifolds and cell complexes (57-XX) 6 Several complex variables and analytic spaces (32-XX) 3 Algebraic geometry (14-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 696 times in 340 Documents Cited by ▼ Year ▼ Conformal geometry, contact geometry, and the calculus of variations. Zbl 0990.53035Viaclovsky, Jeff A. 110 2000 Bach-flat asymptotically locally Euclidean metrics. Zbl 1085.53030Tian, Gang; Viaclovsky, Jeff 50 2005 Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1023.58021Viaclovsky, Jeff A. 42 2002 Moduli spaces of critical Riemannian metrics in dimension four. Zbl 1252.53045Tian, Gang; Viaclovsky, Jeff 42 2005 Prescribing symmetric functions of the eigenvalues of the Ricci tensor. Zbl 1142.53027Gursky, Matthew J.; Viaclovsky, Jeff A. 39 2007 A fully nonlinear equation on four-manifolds with positive scalar curvature. Zbl 1070.53018Gursky, Matthew J.; Viaclovsky, Jeff A. 37 2003 A new variational characterization of three-dimensional space forms. Zbl 1006.58008Gursky, Matthew J.; Viaclovsky, Jeff A. 35 2001 Fully nonlinear equations on Riemannian manifolds with negative curvature. Zbl 1036.53025Gursky, Matthew J.; Viaclovsky, Jeff A. 33 2003 Some properties of the Schouten tensor and applications to conformal geometry. Zbl 1022.53035Guan, Pengfei; Viaclovsky, Jeff; Wang, Guofang 33 2003 Conformally invariant Monge-Ampère equations: Global solutions. Zbl 0951.35044Viaclovsky, Jeff A. 23 2000 A variational characterization for \(\sigma_{n/2}\). Zbl 1059.53033Brendle, Simon; Viaclovsky, Jeff A. 23 2004 Rigidity and stability of Einstein metrics for quadratic curvature functionals. Zbl 1327.53058Gursky, Matthew J.; Viaclovsky, Jeff A. 21 2015 Orthogonal complex structures on domains in \(\mathbb R^4\). Zbl 1167.32017Salamon, Simon; Viaclovsky, Jeff 18 2009 Monopole metrics and the orbifold Yamabe problem. Zbl 1227.53060Viaclovsky, Jeff A. 18 2010 Volume comparison and the \(\sigma_k\)-Yamabe problem. Zbl 1066.53081Gursky, Matthew J.; Viaclovsky, Jeff A. 18 2004 Some fully nonlinear equations in conformal geometry. Zbl 1161.53346Viaclovsky, Jeff A. 15 2000 Volume growth, curvature decay, and critical metrics. Zbl 1154.53024Tian, Gang; Viaclovsky, Jeff 13 2008 Regularity of weak solutions to critical exponent variational equations. Zbl 0977.58020Uhlenbeck, Karen K.; Viaclovsky, Jeff A. 12 2000 Conformal geometry and fully nonlinear equations. Zbl 1142.53030Viaclovsky, Jeff 12 2006 Convexity and singularities of curvature equations in conformal geometry. Zbl 1132.53020Gursky, Matthew J.; Viaclovsky, Jeff 12 2006 Twistor geometry and warped product orthogonal complex structures. Zbl 1227.53061Borisov, Lev; Salamon, Simon; Viaclovsky, Jeff 11 2011 Critical metrics for Riemannian curvature functionals. Zbl 1360.53005Viaclovsky, Jeff A. 10 2016 Critical metrics on connected sums of Einstein four-manifolds. Zbl 1334.53034Gursky, Matthew J.; Viaclovsky, Jeff A. 10 2016 Obstruction-flat asymptotically locally Euclidean metrics. Zbl 1255.53027Ache, Antonio G.; Viaclovsky, Jeff A. 10 2012 On the regularity of solutions to Monge-Ampère equations on Hessian manifolds. Zbl 0990.35029Caffarelli, Luis A.; Viaclovsky, Jeff A. 6 2001 Conformal symmetries of self-dual hyperbolic monopole metrics. Zbl 1276.53029Honda, Nobuhiro; Viaclovsky, Jeff 6 2013 Quotient singularities, eta invariants, and self-dual metrics. Zbl 1348.53054Lock, Michael T.; Viaclovsky, Jeff A. 5 2016 Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface. Zbl 1490.53065Hein, Hans-Joachim; Sun, Song; Viaclovsky, Jeff; Zhang, Ruobing 5 2022 Anti-self-dual orbifolds with cyclic quotient singularities. Zbl 1367.58010Lock, Michael T.; Viaclovsky, Jeff A. 4 2015 Einstein metrics and Yamabe invariants of weighted projective spaces. Zbl 1288.53035Viaclovsky, Jeff A. 4 2013 An index theorem on anti-self-dual orbifolds. Zbl 1323.53034Viaclovsky, Jeff A. 3 2013 Asymptotics of the self-dual deformation complex. Zbl 1326.53055Ache, Antonio G.; Viaclovsky, Jeff A. 3 2015 Deformation theory of scalar-flat Kähler ALE surfaces. Zbl 1452.32028Han, Jiyuan; Viaclovsky, Jeff A. 2 2019 A smörgåsbord of scalar-flat Kähler ALE surfaces. Zbl 1414.32022Lock, Michael T.; Viaclovsky, Jeff A. 2 2019 The Calabi metric and desingularization of Einstein orbifolds. Zbl 1448.53054Morteza, Peyman; Viaclovsky, Jeff A. 2 2020 An index theorem for anti-self-dual orbifold-cone metrics. Zbl 1339.58011Lock, Michael T.; Viaclovsky, Jeff A. 2 2013 Existence and compactness theory for ALE scalar-flat Kähler surfaces. Zbl 1432.53094Han, Jiyuan; Viaclovsky, Jeff A. 1 2020 Threefolds of order one in the six-quadric. Zbl 1312.14101Borisov, Lev; Viaclovsky, Jeff 1 2009 The mass of the product of spheres. Zbl 1316.53046Viaclovsky, Jeff A. 1 2015 Collapsing Ricci-flat metrics on elliptic \(K3\) surfaces. Zbl 1460.32052Chen, Gao; Viaclovsky, Jeff; Zhang, Ruobing 1 2020 Toric LeBrun metrics and Joyce metrics. Zbl 1281.53033Honda, Nobuhiro; Viaclovsky, Jeff 1 2013 Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface. Zbl 1490.53065Hein, Hans-Joachim; Sun, Song; Viaclovsky, Jeff; Zhang, Ruobing 5 2022 The Calabi metric and desingularization of Einstein orbifolds. Zbl 1448.53054Morteza, Peyman; Viaclovsky, Jeff A. 2 2020 Existence and compactness theory for ALE scalar-flat Kähler surfaces. Zbl 1432.53094Han, Jiyuan; Viaclovsky, Jeff A. 1 2020 Collapsing Ricci-flat metrics on elliptic \(K3\) surfaces. Zbl 1460.32052Chen, Gao; Viaclovsky, Jeff; Zhang, Ruobing 1 2020 Deformation theory of scalar-flat Kähler ALE surfaces. Zbl 1452.32028Han, Jiyuan; Viaclovsky, Jeff A. 2 2019 A smörgåsbord of scalar-flat Kähler ALE surfaces. Zbl 1414.32022Lock, Michael T.; Viaclovsky, Jeff A. 2 2019 Critical metrics for Riemannian curvature functionals. Zbl 1360.53005Viaclovsky, Jeff A. 10 2016 Critical metrics on connected sums of Einstein four-manifolds. Zbl 1334.53034Gursky, Matthew J.; Viaclovsky, Jeff A. 10 2016 Quotient singularities, eta invariants, and self-dual metrics. Zbl 1348.53054Lock, Michael T.; Viaclovsky, Jeff A. 5 2016 Rigidity and stability of Einstein metrics for quadratic curvature functionals. Zbl 1327.53058Gursky, Matthew J.; Viaclovsky, Jeff A. 21 2015 Anti-self-dual orbifolds with cyclic quotient singularities. Zbl 1367.58010Lock, Michael T.; Viaclovsky, Jeff A. 4 2015 Asymptotics of the self-dual deformation complex. Zbl 1326.53055Ache, Antonio G.; Viaclovsky, Jeff A. 3 2015 The mass of the product of spheres. Zbl 1316.53046Viaclovsky, Jeff A. 1 2015 Conformal symmetries of self-dual hyperbolic monopole metrics. Zbl 1276.53029Honda, Nobuhiro; Viaclovsky, Jeff 6 2013 Einstein metrics and Yamabe invariants of weighted projective spaces. Zbl 1288.53035Viaclovsky, Jeff A. 4 2013 An index theorem on anti-self-dual orbifolds. Zbl 1323.53034Viaclovsky, Jeff A. 3 2013 An index theorem for anti-self-dual orbifold-cone metrics. Zbl 1339.58011Lock, Michael T.; Viaclovsky, Jeff A. 2 2013 Toric LeBrun metrics and Joyce metrics. Zbl 1281.53033Honda, Nobuhiro; Viaclovsky, Jeff 1 2013 Obstruction-flat asymptotically locally Euclidean metrics. Zbl 1255.53027Ache, Antonio G.; Viaclovsky, Jeff A. 10 2012 Twistor geometry and warped product orthogonal complex structures. Zbl 1227.53061Borisov, Lev; Salamon, Simon; Viaclovsky, Jeff 11 2011 Monopole metrics and the orbifold Yamabe problem. Zbl 1227.53060Viaclovsky, Jeff A. 18 2010 Orthogonal complex structures on domains in \(\mathbb R^4\). Zbl 1167.32017Salamon, Simon; Viaclovsky, Jeff 18 2009 Threefolds of order one in the six-quadric. Zbl 1312.14101Borisov, Lev; Viaclovsky, Jeff 1 2009 Volume growth, curvature decay, and critical metrics. Zbl 1154.53024Tian, Gang; Viaclovsky, Jeff 13 2008 Prescribing symmetric functions of the eigenvalues of the Ricci tensor. Zbl 1142.53027Gursky, Matthew J.; Viaclovsky, Jeff A. 39 2007 Conformal geometry and fully nonlinear equations. Zbl 1142.53030Viaclovsky, Jeff 12 2006 Convexity and singularities of curvature equations in conformal geometry. Zbl 1132.53020Gursky, Matthew J.; Viaclovsky, Jeff 12 2006 Bach-flat asymptotically locally Euclidean metrics. Zbl 1085.53030Tian, Gang; Viaclovsky, Jeff 50 2005 Moduli spaces of critical Riemannian metrics in dimension four. Zbl 1252.53045Tian, Gang; Viaclovsky, Jeff 42 2005 A variational characterization for \(\sigma_{n/2}\). Zbl 1059.53033Brendle, Simon; Viaclovsky, Jeff A. 23 2004 Volume comparison and the \(\sigma_k\)-Yamabe problem. Zbl 1066.53081Gursky, Matthew J.; Viaclovsky, Jeff A. 18 2004 A fully nonlinear equation on four-manifolds with positive scalar curvature. Zbl 1070.53018Gursky, Matthew J.; Viaclovsky, Jeff A. 37 2003 Fully nonlinear equations on Riemannian manifolds with negative curvature. Zbl 1036.53025Gursky, Matthew J.; Viaclovsky, Jeff A. 33 2003 Some properties of the Schouten tensor and applications to conformal geometry. Zbl 1022.53035Guan, Pengfei; Viaclovsky, Jeff; Wang, Guofang 33 2003 Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1023.58021Viaclovsky, Jeff A. 42 2002 A new variational characterization of three-dimensional space forms. Zbl 1006.58008Gursky, Matthew J.; Viaclovsky, Jeff A. 35 2001 On the regularity of solutions to Monge-Ampère equations on Hessian manifolds. Zbl 0990.35029Caffarelli, Luis A.; Viaclovsky, Jeff A. 6 2001 Conformal geometry, contact geometry, and the calculus of variations. Zbl 0990.53035Viaclovsky, Jeff A. 110 2000 Conformally invariant Monge-Ampère equations: Global solutions. Zbl 0951.35044Viaclovsky, Jeff A. 23 2000 Some fully nonlinear equations in conformal geometry. Zbl 1161.53346Viaclovsky, Jeff A. 15 2000 Regularity of weak solutions to critical exponent variational equations. Zbl 0977.58020Uhlenbeck, Karen K.; Viaclovsky, Jeff A. 12 2000 all cited Publications top 5 cited Publications all top 5 Cited by 341 Authors 24 Li, YanYan 20 Viaclovsky, Jeff A. 10 Gursky, Matthew J. 10 Nguyen, Luc 10 Wang, Guofang 9 Case, Jeffrey S. 9 Sheng, Weimin 8 Chang, Sun-Yung Alice 7 Altavilla, Amedeo 7 Huang, Guangyue 7 Streets, Jeffrey D. 6 Ballico, Edoardo 6 Chen, Xiuxiong 6 Salamon, Simon Montague 5 Akutagawa, Kazuo 5 Catino, Giovanni 5 Fu, Haiping 5 Ge, Yuxin 5 Han, Zheng-Chao 5 Li, Aobing 5 Li, Haizhong 5 Monticelli, Dario Daniele 5 Yang, Paul C. P. 5 Yuan, Wei 4 Graham, C. Robin 4 Guan, Pengfei 4 Honda, Nobuhiro 4 Lock, Michael T. 4 Ma, Bingqing 4 Malchiodi, Andrea 4 Mastrolia, Paolo 4 Wang, Bo 3 Brozos-Vázquez, Miguel 3 Caeiro-Oliveira, Sandro 3 Carron, Gilles 3 Chu, Yawei 3 García-Río, Eduardo 3 González, María del Mar 3 Guo, Xi 3 He, Weiyong 3 Juhl, Andreas 3 Li, Yu 3 Lin, Yueh-Ju 3 Ndiaye, Cheikh Birahim 3 Wei, Wei 3 Wu, Yonghong 3 Xu, Lu 3 Zhang, Xinguang 3 Zheng, Fangyang 2 Ache, Antonio G. 2 Andrade, Maria Gorete C. 2 Azagra, Daniel 2 Baird, Paul 2 Biquard, Olivier 2 Bo, Leyang 2 Borisov, Lev A. 2 Brambilla, Maria Chiara 2 Branson, Thomas Patrick 2 Chang, Shu-Cheng 2 Chen, ChuanQiang 2 Chen, Li 2 Chen, Szu-yu Sophie 2 Dias Batista, Elismar 2 Djadli, Zindine 2 Espinar, José María 2 Fang, Hao 2 Fardoun, Ali 2 Ge, Huabin 2 Gover, Ashwin Rod 2 Guan, Bo 2 Guillarmou, Colin 2 Han, Jiyuan 2 Han, Yazhou 2 Ho, Pak Tung 2 Hu, Zejun 2 Isobe, Takeshi 2 Jiang, Wenshuai 2 Katagiri, Minyo 2 Khan, Gabriel J. H. 2 Labbi, Mohammed-Larbi 2 Lai, Mijia 2 Li, Xingxiao 2 Liu, Lishan 2 Lu, Siyuan 2 Maity, Soma 2 Mazzeo, Rafe R. 2 Mazzieri, Lorenzo 2 Mondello, Ilaria 2 Odaka, Yuji 2 Pieterzack, Mauricio 2 Pina, Romildo da Silva 2 Qing, Jie 2 Regbaoui, Rachid 2 Santos, Almir Silva 2 Stoppato, Caterina 2 Tian, Gang 2 Tokura, Willian Isao 2 Wang, Bing 2 Wang, Lisheng 2 Wang, Xu-Jia ...and 241 more Authors all top 5 Cited in 103 Serials 26 Advances in Mathematics 23 Calculus of Variations and Partial Differential Equations 16 Annals of Global Analysis and Geometry 15 The Journal of Geometric Analysis 14 Proceedings of the American Mathematical Society 12 Journal of Geometry and Physics 12 Differential Geometry and its Applications 11 Journal of Functional Analysis 11 Transactions of the American Mathematical Society 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Communications on Pure and Applied Mathematics 7 Journal of Differential Equations 7 Mathematische Annalen 6 Communications in Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Zeitschrift 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Geometric and Functional Analysis. GAFA 5 Geometry & Topology 5 Journal of the European Mathematical Society (JEMS) 5 Communications in Contemporary Mathematics 4 Journal of Mathematical Physics 4 Duke Mathematical Journal 4 Pacific Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Archiv der Mathematik 3 Manuscripta Mathematica 3 Revista Matemática Iberoamericana 3 Acta Mathematica Sinica. English Series 3 Science China. Mathematics 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Journal of Geometry 2 Nagoya Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Results in Mathematics 2 Chinese Annals of Mathematics. Series B 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 Nonlinear Analysis. Modelling and Control 2 Advanced Nonlinear Studies 2 Milan Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Analysis & PDE 2 Forum of Mathematics, Sigma 2 Electronic Research Archive 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Journal d’Analyse Mathématique 1 Russian Mathematical Surveys 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Systems & Control Letters 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Sugaku Expositions 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Potential Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Vietnam Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Analysis in Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Journal of Mathematical Physics, Analysis, Geometry 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry 1 Asian-European Journal of Mathematics 1 Kyoto Journal of Mathematics 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Communications in Mathematics 1 Communications in Mathematics and Statistics 1 Annales Mathématiques du Québec ...and 3 more Serials all top 5 Cited in 27 Fields 280 Differential geometry (53-XX) 124 Global analysis, analysis on manifolds (58-XX) 98 Partial differential equations (35-XX) 29 Several complex variables and analytic spaces (32-XX) 19 Algebraic geometry (14-XX) 14 Manifolds and cell complexes (57-XX) 10 Relativity and gravitational theory (83-XX) 8 Quantum theory (81-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year