Edit Profile (opens in new tab) Case, Jeffrey S. Co-Author Distance Author ID: case.jeffrey-s Published as: Case, Jeffrey S.; Case, Jeffrey Homepage: http://math.ucsb.edu/~casej/ External Links: MGP Documents Indexed: 53 Publications since 2010, including 10 Additional arXiv Preprints Co-Authors: 27 Co-Authors with 30 Joint Publications 765 Co-Co-Authors all top 5 Co-Authors 22 single-authored 11 Yang, Paul C. P. 7 Wang, Yi 4 Lin, Yueh-Ju 3 Yuan, Wei 2 Chanillo, Sagun 2 Hsiao, Chin-Yu 2 Yung, Polam 1 Andrade, João Henrique 1 Chang, Sun-Yung Alice 1 Cheng, Jih-Hsin 1 Curry, Sean N. 1 Gover, Ashwin Rod 1 Graham, C. Robin 1 Khaitan, Ayush 1 Kuo, Tzu-Mo 1 Luo, Weiyu 1 Malchiodi, Andrea 1 Matveev, Vladimir S. 1 McKeown, Stephen E. 1 Moreira, Ana Claudia 1 Ndiaye, Cheikh Birahim 1 Piccione, Paolo 1 Shu, Yujen 1 Takeuchi, Yuya 1 Tyrrell, Aaron J. 1 Wei, Guofang 1 Wei, Juncheng all top 5 Serials 5 Advances in Mathematics 3 Proceedings of the American Mathematical Society 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Geometry and Physics 2 Journal of Functional Analysis 2 Pacific Journal of Mathematics 2 Differential Geometry and its Applications 2 IMRN. International Mathematics Research Notices 2 The Journal of Geometric Analysis 2 Calculus of Variations and Partial Differential Equations 2 Central European Journal of Mathematics 1 Communications on Pure and Applied Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 International Journal of Mathematics 1 The New York Journal of Mathematics 1 Journal of Mathematical Study 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Analysis & PDE all top 5 Fields 35 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 Partial differential equations (35-XX) 11 Several complex variables and analytic spaces (32-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 512 times in 337 Documents Cited by ▼ Year ▼ Rigidity of quasi-Einstein metrics. Zbl 1215.53033 Case, Jeffrey; Shu, Yu-Jen; Wei, Guofang 141 2011 On fractional GJMS operators. Zbl 1348.35292 Case, Jeffrey S.; Chang, Sun-Yung Alice 53 2016 The nonexistence of quasi-Einstein metrics. Zbl 1204.53032 Case, Jeffrey S. 48 2010 Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor. Zbl 1188.53075 Case, Jeffrey S. 46 2010 A Paneitz-type operator for CR pluriharmonic functions. Zbl 1316.32021 Case, Jeffrey S.; Yang, Paul 32 2013 A Yamabe-type problem on smooth metric measure spaces. Zbl 1334.53031 Case, Jeffrey S. 21 2015 Smooth metric measure spaces and quasi-Einstein metrics. Zbl 1257.53067 Case, Jeffrey S. 14 2012 The \(P^\prime\)-operator, the \(Q^\prime\)-curvature, and the CR tractor calculus. Zbl 1460.32077 Case, Jeffrey S.; Gover, A. Rod 13 2020 Smooth metric measure spaces, quasi-Einstein metrics, and tractors. Zbl 1263.53038 Case, Jeffrey S. 13 2012 The weighted \(\sigma_k\)-curvature of a smooth metric measure space. Zbl 1433.53062 Case, Jeffrey S. 13 2019 Boundary operators associated with the Paneitz operator. Zbl 1409.58017 Case, Jeffrey S. 12 2018 The CR Paneitz operator and the stability of CR pluriharmonic functions. Zbl 1327.32050 Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul 10 2016 A notion of the weighted \(\sigma_{k}\)-curvature for manifolds with density. Zbl 1337.53047 Case, Jeffrey S. 9 2016 Boundary operators associated to the \(\sigma_{k}\)-curvature. Zbl 1402.35123 Case, Jeffrey S.; Wang, Yi 9 2018 Some energy inequalities involving fractional GJMS operators. Zbl 1365.35202 Case, Jeffrey S. 8 2017 Conformal invariants measuring the best constants for Gagliardo-Nirenberg-Sobolev inequalities. Zbl 1275.49081 Case, Jeffrey S. 8 2013 The energy of a smooth metric measure space and applications. Zbl 1317.53054 Case, Jeffrey S. 7 2015 Towards a fully nonlinear sharp Sobolev trace inequality. Zbl 1499.58019 Case, Jeffrey S.; Wang, Yi 7 2020 Conformally variational Riemannian invariants. Zbl 1423.53037 Case, Jeffrey S.; Lin, Yueh-Ju; Yuan, Wei 7 2019 A remark on the kernel of the CR Paneitz operator. Zbl 1321.32012 Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul 6 2015 Sharp metric obstructions for quasi-Einstein metrics. Zbl 1341.53074 Case, Jeffrey S. 5 2013 Some constructions of formally self-adjoint conformally covariant polydifferential operators. Zbl 1504.53046 Case, Jeffrey S.; Lin, Yueh-Ju; Yuan, Wei 4 2022 Sharp weighted Sobolev trace inequalities and fractional powers of the Laplacian. Zbl 1442.35145 Case, Jeffrey S. 4 2020 Boundary operators associated with the sixth-order GJMS Operator. Zbl 07456030 Case, Jeffrey S.; Luo, Weiyu 3 2021 The Frank-Lieb approach to sharp Sobolev inequalities. Zbl 1470.46055 Case, Jeffrey S. 3 2021 The Lichnerowicz-Obata theorem for the Kohn Laplacian in three dimensions. Zbl 1470.32104 Case, Jeffrey S.; Yang, Paul 3 2021 Extremal metrics for the \(Q'\)-curvature in three dimensions. (Métriques extrémales pour la \(Q'\)-courbure en dimension 3.) Zbl 1381.53062 Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul 2 2016 A weighted renormalized curvature for manifolds with density. Zbl 1368.53032 Case, Jeffrey S. 2 2017 An integral formula for the \(Q\)-prime curvature in 3-dimensional CR geometry. Zbl 1414.32031 Case, Jeffrey S.; Cheng, Jih-Hsin; Yang, Paul 2 2019 Extremal metrics for the \(Q^\prime\)-curvature in three dimensions. Zbl 1444.32034 Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul 2 2019 \( \mathcal{I}^{\prime} \)-curvatures in higher dimensions and the Hirachi conjecture. Zbl 1510.32081 Case, Jeffrey S.; Takeuchi, Yuya 2 2023 The weighted ambient metric. Zbl 1503.53084 Case, Jeffrey; Khaitan, Ayush 2 2022 Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory. Zbl 1416.58011 Case, Jeffrey S.; Moreira, Ana Claudia; Wang, Yi 1 2019 \( \mathcal{I}^{\prime} \)-curvatures in higher dimensions and the Hirachi conjecture. Zbl 1510.32081 Case, Jeffrey S.; Takeuchi, Yuya 2 2023 Some constructions of formally self-adjoint conformally covariant polydifferential operators. Zbl 1504.53046 Case, Jeffrey S.; Lin, Yueh-Ju; Yuan, Wei 4 2022 The weighted ambient metric. Zbl 1503.53084 Case, Jeffrey; Khaitan, Ayush 2 2022 Boundary operators associated with the sixth-order GJMS Operator. Zbl 07456030 Case, Jeffrey S.; Luo, Weiyu 3 2021 The Frank-Lieb approach to sharp Sobolev inequalities. Zbl 1470.46055 Case, Jeffrey S. 3 2021 The Lichnerowicz-Obata theorem for the Kohn Laplacian in three dimensions. Zbl 1470.32104 Case, Jeffrey S.; Yang, Paul 3 2021 The \(P^\prime\)-operator, the \(Q^\prime\)-curvature, and the CR tractor calculus. Zbl 1460.32077 Case, Jeffrey S.; Gover, A. Rod 13 2020 Towards a fully nonlinear sharp Sobolev trace inequality. Zbl 1499.58019 Case, Jeffrey S.; Wang, Yi 7 2020 Sharp weighted Sobolev trace inequalities and fractional powers of the Laplacian. Zbl 1442.35145 Case, Jeffrey S. 4 2020 The weighted \(\sigma_k\)-curvature of a smooth metric measure space. Zbl 1433.53062 Case, Jeffrey S. 13 2019 Conformally variational Riemannian invariants. Zbl 1423.53037 Case, Jeffrey S.; Lin, Yueh-Ju; Yuan, Wei 7 2019 An integral formula for the \(Q\)-prime curvature in 3-dimensional CR geometry. Zbl 1414.32031 Case, Jeffrey S.; Cheng, Jih-Hsin; Yang, Paul 2 2019 Extremal metrics for the \(Q^\prime\)-curvature in three dimensions. Zbl 1444.32034 Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul 2 2019 Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory. Zbl 1416.58011 Case, Jeffrey S.; Moreira, Ana Claudia; Wang, Yi 1 2019 Boundary operators associated with the Paneitz operator. Zbl 1409.58017 Case, Jeffrey S. 12 2018 Boundary operators associated to the \(\sigma_{k}\)-curvature. Zbl 1402.35123 Case, Jeffrey S.; Wang, Yi 9 2018 Some energy inequalities involving fractional GJMS operators. Zbl 1365.35202 Case, Jeffrey S. 8 2017 A weighted renormalized curvature for manifolds with density. Zbl 1368.53032 Case, Jeffrey S. 2 2017 On fractional GJMS operators. Zbl 1348.35292 Case, Jeffrey S.; Chang, Sun-Yung Alice 53 2016 The CR Paneitz operator and the stability of CR pluriharmonic functions. Zbl 1327.32050 Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul 10 2016 A notion of the weighted \(\sigma_{k}\)-curvature for manifolds with density. Zbl 1337.53047 Case, Jeffrey S. 9 2016 Extremal metrics for the \(Q'\)-curvature in three dimensions. (Métriques extrémales pour la \(Q'\)-courbure en dimension 3.) Zbl 1381.53062 Case, Jeffrey S.; Hsiao, Chin-Yu; Yang, Paul 2 2016 A Yamabe-type problem on smooth metric measure spaces. Zbl 1334.53031 Case, Jeffrey S. 21 2015 The energy of a smooth metric measure space and applications. Zbl 1317.53054 Case, Jeffrey S. 7 2015 A remark on the kernel of the CR Paneitz operator. Zbl 1321.32012 Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul 6 2015 A Paneitz-type operator for CR pluriharmonic functions. Zbl 1316.32021 Case, Jeffrey S.; Yang, Paul 32 2013 Conformal invariants measuring the best constants for Gagliardo-Nirenberg-Sobolev inequalities. Zbl 1275.49081 Case, Jeffrey S. 8 2013 Sharp metric obstructions for quasi-Einstein metrics. Zbl 1341.53074 Case, Jeffrey S. 5 2013 Smooth metric measure spaces and quasi-Einstein metrics. Zbl 1257.53067 Case, Jeffrey S. 14 2012 Smooth metric measure spaces, quasi-Einstein metrics, and tractors. Zbl 1263.53038 Case, Jeffrey S. 13 2012 Rigidity of quasi-Einstein metrics. Zbl 1215.53033 Case, Jeffrey; Shu, Yu-Jen; Wei, Guofang 141 2011 The nonexistence of quasi-Einstein metrics. Zbl 1204.53032 Case, Jeffrey S. 48 2010 Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor. Zbl 1188.53075 Case, Jeffrey S. 46 2010 all cited Publications top 5 cited Publications all top 5 Cited by 337 Authors 23 Case, Jeffrey S. 15 de Lima, Henrique F. 12 González, María del Mar 10 Wang, Linfeng 9 Ho, Pak Tung 9 Ribeiro, Ernani jun. 9 Santos, Márcio S. 8 Wei, Juncheng 8 Yang, Paul C. P. 7 Brozos-Vázquez, Miguel 7 Calvaruso, Giovanni 7 Takeuchi, Yuya 6 Chang, Sun-Yung Alice 6 De, Uday Chand 6 DelaTorre, Azahara 6 Ghosh, Amalendu 6 Kim, Seunghyeok 6 Marugame, Taiji 6 Oliveira, Arlandson Matheus Silva 6 Shin, Jinwoo 6 Velásquez, Marco Antonio Lázaro 6 Woolgar, Eric 6 Wu, Jiayong 6 Wylie, William C. 5 Abolarinwa, Abimbola 5 Ao, Weiwei 5 Barros, Abdênago A. 5 García-Río, Eduardo 5 Minguzzi, Ettore 5 Sharma, Ramesh 5 Xiong, Jingang 4 Chen, Zhiqi 4 Cheng, Jih-Hsin 4 Diógenes, Rafael 4 Dương Ngọc Sơn 4 Freitas, Allan G. 4 Gomes, José Nazareno Vieira 4 Gover, Ashwin Rod 4 Güler, Sinem 4 Huang, Guangyue 4 Lin, Yueh-Ju 4 Lu, Yufeng 4 Maalaoui, Ali 4 Pina, Romildo da Silva 4 Poddar, Rahul 4 Silva Filho, João F. 4 Venkatesha, Venkatesha 4 Wang, Fang 4 Yan, Zetian 3 Gadelha, Tiago 3 Ge, Yuxin 3 Gilkey, Peter B. 3 Hsiao, Chin-Yu 3 Jin, Tianling 3 Kumara, Huchchappa Aruna 3 Malchiodi, Andrea 3 Musso, Monica 3 Naik, Devaraja Mallesha 3 Nguyen, Luc 3 Ohta, Shin-ichi 3 Sire, Yannick 3 Vahidifar, Vahideh 3 Valle-Regueiro, Xabier 3 Yuan, Wei 3 Zeng, Fanqi 2 Abdelmalek, Mohammed 2 Albujer, Alma L. 2 Altay Demirbağ, Sezgin 2 Azami, Shahroud 2 Bahuaud, Eric 2 Baltazar, Halyson I. 2 Batista, Márcio 2 Biswas, Gour Gopal 2 Catino, Giovanni 2 Chanillo, Sagun 2 Chen, Xiaomin 2 Correia, Paula 2 Cruz, Tiarlos 2 de Lima, Eudes Leite 2 Dietrich, Gautier 2 Duncan, Jonah A. J. 2 Feitosa, F. E. S. 2 Fino, Anna 2 Frank, Rupert L. 2 Gunasekaran, Sharmila 2 Guo, Yuxia 2 Hirachi, Kengo 2 Hu, Zejun 2 Hyder, Ali 2 Kunduri, Hari K. 2 Lee, Soo-Young 2 Li, Dehe 2 Li, YanYan 2 Liang, Ke 2 Lima, Eraldo Almeida jun. 2 Lu, Han 2 Lu, Siyuan 2 Mofarreh, Fatemah Y. Y. 2 Mojón-Álvarez, Diego 2 Ndiaye, Cheikh Birahim ...and 237 more Authors all top 5 Cited in 120 Serials 21 The Journal of Geometric Analysis 20 Differential Geometry and its Applications 19 Advances in Mathematics 13 Journal of Functional Analysis 12 Journal of Geometry and Physics 10 Journal of Mathematical Analysis and Applications 7 Pacific Journal of Mathematics 7 Proceedings of the American Mathematical Society 7 Results in Mathematics 7 Calculus of Variations and Partial Differential Equations 6 Letters in Mathematical Physics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 International Journal of Mathematics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Classical and Quantum Gravity 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Mediterranean Journal of Mathematics 4 Archiv der Mathematik 4 Journal of Geometry 4 Mathematische Annalen 4 Bulletin of the Brazilian Mathematical Society. New Series 3 General Relativity and Gravitation 3 Journal of Mathematical Physics 3 Glasgow Mathematical Journal 3 Indiana University Mathematics Journal 3 Journal of the London Mathematical Society. Second Series 3 Manuscripta Mathematica 3 Transactions of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematica Hungarica 3 Filomat 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Advances in Mathematical Physics 2 Annales Polonici Mathematici 2 Colloquium Mathematicum 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Journal of Differential Equations 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Kyungpook Mathematical Journal 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Bulletin of the Korean Mathematical Society 2 Annals of Global Analysis and Geometry 2 Revista Matemática Iberoamericana 2 Bulletin des Sciences Mathématiques 2 Discrete and Continuous Dynamical Systems 2 Mathematical Physics, Analysis and Geometry 2 Communications of the Korean Mathematical Society 2 Communications in Contemporary Mathematics 2 Journal of High Energy Physics 2 DGDS. Differential Geometry – Dynamical Systems 2 Journal of Nonlinear Mathematical Physics 2 Advances in Geometry 2 Communications on Pure and Applied Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 International Journal of Geometric Methods in Modern Physics 2 International Electronic Journal of Geometry 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Bulletin of Mathematical Sciences 2 Afrika Matematika 2 Analysis and Geometry in Metric Spaces 2 Advances in Nonlinear Analysis 2 Korean Journal of Mathematics 2 Peking Mathematical Journal 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Physics Letters. B 1 Beiträge zur Algebra und Geometrie 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of the Korean Mathematical Society 1 Mathematische Zeitschrift 1 Mathematika 1 Nagoya Mathematical Journal 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Revista de la Unión Matemática Argentina 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Publicacions Matemàtiques 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 The New York Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Journal of Inequalities and Applications 1 Living Reviews in Relativity 1 Gravitation & Cosmology 1 Acta Mathematica Scientia. Series B. (English Edition) ...and 20 more Serials all top 5 Cited in 26 Fields 277 Differential geometry (53-XX) 88 Partial differential equations (35-XX) 60 Global analysis, analysis on manifolds (58-XX) 43 Several complex variables and analytic spaces (32-XX) 30 Relativity and gravitational theory (83-XX) 7 Functional analysis (46-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 2 Nonassociative rings and algebras (17-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year