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Viaclovsky, Jeff A.

Author ID: viaclovsky.jeff-a Recent zbMATH articles by "Viaclovsky, Jeff A."
Published as: Viaclovsky, Jeff A.; Viaclovsky, Jeff

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 834 times in 427 Documents Cited by Year
Conformal geometry, contact geometry, and the calculus of variations. Zbl 0990.53035
Viaclovsky, Jeff A.
129
2000
Bach-flat asymptotically locally Euclidean metrics. Zbl 1085.53030
Tian, Gang; Viaclovsky, Jeff
52
2005
Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1023.58021
Viaclovsky, Jeff A.
50
2002
Prescribing symmetric functions of the eigenvalues of the Ricci tensor. Zbl 1142.53027
Gursky, Matthew J.; Viaclovsky, Jeff A.
47
2007
A fully nonlinear equation on four-manifolds with positive scalar curvature. Zbl 1070.53018
Gursky, Matthew J.; Viaclovsky, Jeff A.
42
2003
Moduli spaces of critical Riemannian metrics in dimension four. Zbl 1252.53045
Tian, Gang; Viaclovsky, Jeff
42
2005
Fully nonlinear equations on Riemannian manifolds with negative curvature. Zbl 1036.53025
Gursky, Matthew J.; Viaclovsky, Jeff A.
42
2003
A new variational characterization of three-dimensional space forms. Zbl 1006.58008
Gursky, Matthew J.; Viaclovsky, Jeff A.
39
2001
Some properties of the Schouten tensor and applications to conformal geometry. Zbl 1022.53035
Guan, Pengfei; Viaclovsky, Jeff; Wang, Guofang
37
2003
Rigidity and stability of Einstein metrics for quadratic curvature functionals. Zbl 1327.53058
Gursky, Matthew J.; Viaclovsky, Jeff A.
27
2015
A variational characterization for \(\sigma_{n/2}\). Zbl 1059.53033
Brendle, Simon; Viaclovsky, Jeff A.
26
2004
Conformally invariant Monge-Ampère equations: Global solutions. Zbl 0951.35044
Viaclovsky, Jeff A.
25
2000
Monopole metrics and the orbifold Yamabe problem. Zbl 1227.53060
Viaclovsky, Jeff A.
21
2010
Orthogonal complex structures on domains in \(\mathbb R^4\). Zbl 1167.32017
Salamon, Simon; Viaclovsky, Jeff
20
2009
Volume comparison and the \(\sigma_k\)-Yamabe problem. Zbl 1066.53081
Gursky, Matthew J.; Viaclovsky, Jeff A.
19
2004
Regularity of weak solutions to critical exponent variational equations. Zbl 0977.58020
Uhlenbeck, Karen K.; Viaclovsky, Jeff A.
18
2000
Critical metrics for Riemannian curvature functionals. Zbl 1360.53005
Viaclovsky, Jeff A.
18
2016
Some fully nonlinear equations in conformal geometry. Zbl 1161.53346
Viaclovsky, Jeff A.
17
2000
Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface. Zbl 1490.53065
Hein, Hans-Joachim; Sun, Song; Viaclovsky, Jeff; Zhang, Ruobing
16
2022
Convexity and singularities of curvature equations in conformal geometry. Zbl 1132.53020
Gursky, Matthew J.; Viaclovsky, Jeff
15
2006
Twistor geometry and warped product orthogonal complex structures. Zbl 1227.53061
Borisov, Lev; Salamon, Simon; Viaclovsky, Jeff
15
2011
Volume growth, curvature decay, and critical metrics. Zbl 1154.53024
Tian, Gang; Viaclovsky, Jeff
14
2008
Critical metrics on connected sums of Einstein four-manifolds. Zbl 1334.53034
Gursky, Matthew J.; Viaclovsky, Jeff A.
13
2016
Conformal geometry and fully nonlinear equations. Zbl 1142.53030
Viaclovsky, Jeff
13
2006
Obstruction-flat asymptotically locally Euclidean metrics. Zbl 1255.53027
Ache, Antonio G.; Viaclovsky, Jeff A.
10
2012
On the regularity of solutions to Monge-Ampère equations on Hessian manifolds. Zbl 0990.35029
Caffarelli, Luis A.; Viaclovsky, Jeff A.
9
2001
Quotient singularities, eta invariants, and self-dual metrics. Zbl 1348.53054
Lock, Michael T.; Viaclovsky, Jeff A.
6
2016
Collapsing Ricci-flat metrics on elliptic \(K3\) surfaces. Zbl 1460.32052
Chen, Gao; Viaclovsky, Jeff; Zhang, Ruobing
6
2020
Conformal symmetries of self-dual hyperbolic monopole metrics. Zbl 1276.53029
Honda, Nobuhiro; Viaclovsky, Jeff
6
2013
Einstein metrics and Yamabe invariants of weighted projective spaces. Zbl 1288.53035
Viaclovsky, Jeff A.
6
2013
The Calabi metric and desingularization of Einstein orbifolds. Zbl 1448.53054
Morteza, Peyman; Viaclovsky, Jeff A.
5
2020
Anti-self-dual orbifolds with cyclic quotient singularities. Zbl 1367.58010
Lock, Michael T.; Viaclovsky, Jeff A.
4
2015
A smörgåsbord of scalar-flat Kähler ALE surfaces. Zbl 1414.32022
Lock, Michael T.; Viaclovsky, Jeff A.
4
2019
An index theorem for anti-self-dual orbifold-cone metrics. Zbl 1339.58011
Lock, Michael T.; Viaclovsky, Jeff A.
3
2013
Asymptotics of the self-dual deformation complex. Zbl 1326.53055
Ache, Antonio G.; Viaclovsky, Jeff A.
3
2015
An index theorem on anti-self-dual orbifolds. Zbl 1323.53034
Viaclovsky, Jeff A.
3
2013
Deformation theory of scalar-flat Kähler ALE surfaces. Zbl 1452.32028
Han, Jiyuan; Viaclovsky, Jeff A.
3
2019
Conformally prescribed scalar curvature on orbifolds. Zbl 1514.53081
Ju, Tao; Viaclovsky, Jeff
2
2023
Hodge theory on \(\mathrm{ALG}^\ast\) manifolds. Zbl 1527.53031
Chen, Gao; Viaclovsky, Jeff; Zhang, Ruobing
2
2023
The mass of the product of spheres. Zbl 1316.53046
Viaclovsky, Jeff A.
2
2015
Threefolds of order one in the six-quadric. Zbl 1312.14101
Borisov, Lev; Viaclovsky, Jeff
1
2009
Toric LeBrun metrics and Joyce metrics. Zbl 1281.53033
Honda, Nobuhiro; Viaclovsky, Jeff
1
2013
Existence and compactness theory for ALE scalar-flat Kähler surfaces. Zbl 1432.53094
Han, Jiyuan; Viaclovsky, Jeff A.
1
2020
Conformally prescribed scalar curvature on orbifolds. Zbl 1514.53081
Ju, Tao; Viaclovsky, Jeff
2
2023
Hodge theory on \(\mathrm{ALG}^\ast\) manifolds. Zbl 1527.53031
Chen, Gao; Viaclovsky, Jeff; Zhang, Ruobing
2
2023
Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface. Zbl 1490.53065
Hein, Hans-Joachim; Sun, Song; Viaclovsky, Jeff; Zhang, Ruobing
16
2022
Collapsing Ricci-flat metrics on elliptic \(K3\) surfaces. Zbl 1460.32052
Chen, Gao; Viaclovsky, Jeff; Zhang, Ruobing
6
2020
The Calabi metric and desingularization of Einstein orbifolds. Zbl 1448.53054
Morteza, Peyman; Viaclovsky, Jeff A.
5
2020
Existence and compactness theory for ALE scalar-flat Kähler surfaces. Zbl 1432.53094
Han, Jiyuan; Viaclovsky, Jeff A.
1
2020
A smörgåsbord of scalar-flat Kähler ALE surfaces. Zbl 1414.32022
Lock, Michael T.; Viaclovsky, Jeff A.
4
2019
Deformation theory of scalar-flat Kähler ALE surfaces. Zbl 1452.32028
Han, Jiyuan; Viaclovsky, Jeff A.
3
2019
Critical metrics for Riemannian curvature functionals. Zbl 1360.53005
Viaclovsky, Jeff A.
18
2016
Critical metrics on connected sums of Einstein four-manifolds. Zbl 1334.53034
Gursky, Matthew J.; Viaclovsky, Jeff A.
13
2016
Quotient singularities, eta invariants, and self-dual metrics. Zbl 1348.53054
Lock, Michael T.; Viaclovsky, Jeff A.
6
2016
Rigidity and stability of Einstein metrics for quadratic curvature functionals. Zbl 1327.53058
Gursky, Matthew J.; Viaclovsky, Jeff A.
27
2015
Anti-self-dual orbifolds with cyclic quotient singularities. Zbl 1367.58010
Lock, Michael T.; Viaclovsky, Jeff A.
4
2015
Asymptotics of the self-dual deformation complex. Zbl 1326.53055
Ache, Antonio G.; Viaclovsky, Jeff A.
3
2015
The mass of the product of spheres. Zbl 1316.53046
Viaclovsky, Jeff A.
2
2015
Conformal symmetries of self-dual hyperbolic monopole metrics. Zbl 1276.53029
Honda, Nobuhiro; Viaclovsky, Jeff
6
2013
Einstein metrics and Yamabe invariants of weighted projective spaces. Zbl 1288.53035
Viaclovsky, Jeff A.
6
2013
An index theorem for anti-self-dual orbifold-cone metrics. Zbl 1339.58011
Lock, Michael T.; Viaclovsky, Jeff A.
3
2013
An index theorem on anti-self-dual orbifolds. Zbl 1323.53034
Viaclovsky, Jeff A.
3
2013
Toric LeBrun metrics and Joyce metrics. Zbl 1281.53033
Honda, Nobuhiro; Viaclovsky, Jeff
1
2013
Obstruction-flat asymptotically locally Euclidean metrics. Zbl 1255.53027
Ache, Antonio G.; Viaclovsky, Jeff A.
10
2012
Twistor geometry and warped product orthogonal complex structures. Zbl 1227.53061
Borisov, Lev; Salamon, Simon; Viaclovsky, Jeff
15
2011
Monopole metrics and the orbifold Yamabe problem. Zbl 1227.53060
Viaclovsky, Jeff A.
21
2010
Orthogonal complex structures on domains in \(\mathbb R^4\). Zbl 1167.32017
Salamon, Simon; Viaclovsky, Jeff
20
2009
Threefolds of order one in the six-quadric. Zbl 1312.14101
Borisov, Lev; Viaclovsky, Jeff
1
2009
Volume growth, curvature decay, and critical metrics. Zbl 1154.53024
Tian, Gang; Viaclovsky, Jeff
14
2008
Prescribing symmetric functions of the eigenvalues of the Ricci tensor. Zbl 1142.53027
Gursky, Matthew J.; Viaclovsky, Jeff A.
47
2007
Convexity and singularities of curvature equations in conformal geometry. Zbl 1132.53020
Gursky, Matthew J.; Viaclovsky, Jeff
15
2006
Conformal geometry and fully nonlinear equations. Zbl 1142.53030
Viaclovsky, Jeff
13
2006
Bach-flat asymptotically locally Euclidean metrics. Zbl 1085.53030
Tian, Gang; Viaclovsky, Jeff
52
2005
Moduli spaces of critical Riemannian metrics in dimension four. Zbl 1252.53045
Tian, Gang; Viaclovsky, Jeff
42
2005
A variational characterization for \(\sigma_{n/2}\). Zbl 1059.53033
Brendle, Simon; Viaclovsky, Jeff A.
26
2004
Volume comparison and the \(\sigma_k\)-Yamabe problem. Zbl 1066.53081
Gursky, Matthew J.; Viaclovsky, Jeff A.
19
2004
A fully nonlinear equation on four-manifolds with positive scalar curvature. Zbl 1070.53018
Gursky, Matthew J.; Viaclovsky, Jeff A.
42
2003
Fully nonlinear equations on Riemannian manifolds with negative curvature. Zbl 1036.53025
Gursky, Matthew J.; Viaclovsky, Jeff A.
42
2003
Some properties of the Schouten tensor and applications to conformal geometry. Zbl 1022.53035
Guan, Pengfei; Viaclovsky, Jeff; Wang, Guofang
37
2003
Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1023.58021
Viaclovsky, Jeff A.
50
2002
A new variational characterization of three-dimensional space forms. Zbl 1006.58008
Gursky, Matthew J.; Viaclovsky, Jeff A.
39
2001
On the regularity of solutions to Monge-Ampère equations on Hessian manifolds. Zbl 0990.35029
Caffarelli, Luis A.; Viaclovsky, Jeff A.
9
2001
Conformal geometry, contact geometry, and the calculus of variations. Zbl 0990.53035
Viaclovsky, Jeff A.
129
2000
Conformally invariant Monge-Ampère equations: Global solutions. Zbl 0951.35044
Viaclovsky, Jeff A.
25
2000
Regularity of weak solutions to critical exponent variational equations. Zbl 0977.58020
Uhlenbeck, Karen K.; Viaclovsky, Jeff A.
18
2000
Some fully nonlinear equations in conformal geometry. Zbl 1161.53346
Viaclovsky, Jeff A.
17
2000
all top 5

Cited by 428 Authors

31 Li, YanYan
24 Viaclovsky, Jeff A.
13 Nguyen, Luc
11 Gursky, Matthew J.
10 Sheng, Weimin
10 Wang, Guofang
9 Case, Jeffrey S.
9 Huang, Guangyue
8 Altavilla, Amedeo
8 Chang, Sun-Yung Alice
8 Streets, Jeffrey D.
7 Ballico, Edoardo
7 Malchiodi, Andrea
7 Wu, Yonghong
7 Yang, Paul C. P.
7 Zhang, Xinguang
6 Catino, Giovanni
6 Chen, Xiuxiong
6 Ma, Bingqing
6 Monticelli, Dario Daniele
6 Salamon, Simon Montague
5 Akutagawa, Kazuo
5 Brozos-Vázquez, Miguel
5 Caeiro-Oliveira, Sandro
5 Carron, Gilles
5 Fu, Haiping
5 García-Río, Eduardo
5 Ge, Yuxin
5 Han, Zheng-Chao
5 Li, Aobing
5 Li, Haizhong
5 Mastrolia, Paolo
5 Wang, Bo
5 Wiwatanapataphee, Benchawan
5 Yuan, Wei
4 Duncan, Jonah A. J.
4 González, María del Mar
4 Gover, Ashwin Rod
4 Graham, C. Robin
4 Guan, Pengfei
4 Hein, Hans-Joachim
4 Honda, Nobuhiro
4 Lin, Yu-Shen
4 Lock, Michael T.
4 Ndiaye, Cheikh Birahim
3 Biquard, Olivier
3 Brambilla, Maria Chiara
3 Chen, Gao
3 Chu, Yawei
3 Guo, Xi
3 He, Weiyong
3 Jiang, Feida
3 Juhl, Andreas
3 Lai, Mijia
3 Li, Yu
3 Lin, Yueh-Ju
3 Lu, Siyuan
3 Maity, Soma
3 Ozuch, Tristan
3 Tian, Gang
3 Vertman, Boris
3 Wei, Wei
3 Xu, Lu
3 Zaeim, Amirhesam
3 Zheng, Fangyang
2 Ache, Antonio G.
2 Albin, Pierre
2 Andrade, Maria Gorete C.
2 Azagra, Daniel
2 Baird, Paul
2 Bo, Leyang
2 Borisov, Lev A.
2 Branson, Thomas Patrick
2 Calvaruso, Giovanni
2 Chang, Shu-Cheng
2 Chen, ChuanQiang
2 Chen, Li
2 Chen, Szu-yu Sophie
2 Cheng, Jih-Hsin
2 Conlon, Ronan J.
2 Dias Batista, Elismar
2 Djadli, Zindine
2 Espinar, José María
2 Fang, Hao
2 Fardoun, Ali
2 Fowdar, Udhav
2 Ge, Huabin
2 Gell-Redman, Jesse
2 Guan, Bo
2 Guillarmou, Colin
2 Han, Jiyuan
2 Han, Yazhou
2 He, Yan
2 Ho, Pak Tung
2 Hu, Zejun
2 Hultgren, Jakob
2 Hwang, Seungsu
2 Isobe, Takeshi
2 Jiang, Wenshuai
2 Katagiri, Minyo
...and 328 more Authors
all top 5

Cited in 123 Serials

28 Advances in Mathematics
27 Calculus of Variations and Partial Differential Equations
19 The Journal of Geometric Analysis
17 Annals of Global Analysis and Geometry
16 Proceedings of the American Mathematical Society
14 Journal of Geometry and Physics
13 Transactions of the American Mathematical Society
13 Differential Geometry and its Applications
12 Journal of Functional Analysis
11 Communications on Pure and Applied Mathematics
9 Communications in Mathematical Physics
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Journal für die Reine und Angewandte Mathematik
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Journal of Differential Equations
7 Mathematische Annalen
7 Communications in Contemporary Mathematics
6 Journal of Mathematical Physics
6 Duke Mathematical Journal
6 Geometry & Topology
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Mathematische Zeitschrift
5 Geometric and Functional Analysis. GAFA
5 Journal of the European Mathematical Society (JEMS)
4 Manuscripta Mathematica
4 Pacific Journal of Mathematics
4 Revista Matemática Iberoamericana
4 Acta Mathematica Sinica. English Series
4 Science China. Mathematics
3 Journal of Mathematical Analysis and Applications
3 Archiv der Mathematik
3 Journal of Differential Geometry
3 Journal of High Energy Physics
3 Nonlinear Analysis. Modelling and Control
3 Advanced Nonlinear Studies
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Oberwolfach Reports
3 Analysis & PDE
2 Classical and Quantum Gravity
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Publications Mathématiques
2 Inventiones Mathematicae
2 Journal of Geometry
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Results in Mathematics
2 Tôhoku Mathematical Journal. Second Series
2 Bulletin of the Korean Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Mathematics Letters
2 Journal of the American Mathematical Society
2 International Journal of Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Milan Journal of Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Fixed Point Theory and Applications
2 Forum of Mathematics, Sigma
2 Electronic Research Archive
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Russian Mathematical Surveys
1 American Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Colloquium Mathematicum
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of the London Mathematical Society. Second Series
1 Proceedings of the London Mathematical Society. Third Series
1 Systems & Control Letters
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 Sugaku Expositions
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Potential Analysis
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 The New York Journal of Mathematics
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 Annales Henri Poincaré
1 Qualitative Theory of Dynamical Systems
1 Foundations of Computational Mathematics
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
...and 23 more Serials

Citations by Year