## Pollack, Daniel

Compute Distance To:
 Author ID: pollack.daniel Published as: Pollack, Daniel; Pollack, D. External Links: ORCID
 Documents Indexed: 26 Publications since 1993 Co-Authors: 23 Co-Authors with 24 Joint Publications 716 Co-Co-Authors
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### Co-Authors

 2 single-authored 8 Mazzeo, Rafe R. 7 Isenberg, James A. 4 Chruściel, Piotr Tadeusz 4 Pacard, Frank 3 Choquet-Bruhat, Yvonne 3 Galloway, Gregory J. 2 Burkhart, Madeleine 2 Uhlenbeck, Karen Keskulla 1 Andersson, Lars Åke 1 Corvino, Justin 1 Dahl, Mattias 1 Eichmair, Michael 1 Ge, Yuxin 1 Hebey, Emmanuel 1 Kenig, Carlos Eduardo 1 Kusner, Robert B. 1 Lamm, Tobias 1 Lesourd, Martin 1 Maxwell, David J. 1 Musso, Monica 1 Pistoia, Angela 1 Staffilani, Gigliola 1 Toro, Tatiana
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### Serials

 3 Communications in Mathematical Physics 2 Annales Henri Poincaré 1 Classical and Quantum Gravity 1 General Relativity and Gravitation 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Communications in Analysis and Geometry 1 Topological Methods in Nonlinear Analysis 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 The Asian Journal of Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Communications on Pure and Applied Analysis 1 Pure and Applied Mathematics Quarterly 1 Journal of Fixed Point Theory and Applications

### Fields

 17 Differential geometry (53-XX) 15 Relativity and gravitational theory (83-XX) 11 Global analysis, analysis on manifolds (58-XX) 4 Partial differential equations (35-XX)

### Citations contained in zbMATH Open

25 Publications have been cited 417 times in 261 Documents Cited by Year
Moduli spaces of singular Yamabe metrics. Zbl 0849.58012
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1996
Mathematical general relativity: a sampler. Zbl 1205.83002
Chruściel, Piotr T.; Galloway, Gregory J.; Pollack, Daniel
2010
A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Zbl 1218.53042
Hebey, Emmanuel; Pacard, Frank; Pollack, Daniel
2008
Nonuniqueness and high energy solutions for a conformally invariant scalar equation. Zbl 0848.58011
Pollack, Daniel
1993
The constraint equations for the Einstein-scalar field system on compact manifolds. Zbl 1111.83002
Choquet-Bruhat, Yvonne; Isenberg, James; Pollack, Daniel
2007
Connected sums of constant mean curvature surfaces in Euclidean 3 space. Zbl 0972.53010
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2001
Connected sum constructions for constant scalar curvature metrics. Zbl 0866.58069
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1995
The moduli space of complete embedded constant mean curvature surfaces. Zbl 0966.58005
Kusner, R.; Mazzeo, R.; Pollack, D.
1996
The Einstein-scalar field constraints on asymptotically Euclidean manifolds. Zbl 1112.83008
Choquet-Bruhat, Yvonne; Isenberg, James; Pollack, Daniel
2006
Initial data engineering. Zbl 1080.83002
Chruściel, Piotr T.; Isenberg, James; Pollack, Daniel
2005
A gluing construction for non-vacuum solutions of the Einstein-constraint equations. Zbl 1101.83005
Isenberg, James; Maxwell, David; Pollack, Daniel
2005
Gluing and Wormholes for the Einstein constraint equations. Zbl 1013.83008
Isenberg, James; Mazzeo, Rafe; Pollack, Daniel
2002
The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208
Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana
2010
Compactness results for complete metrics of constant positive scalar curvature on subdomains of $$S^ n$$. Zbl 0794.53025
Pollack, Daniel
1993
Applications of theorems of Jean Leray to the Einstein-scalar field equations. Zbl 1169.83007
Choquet-Bruhat, Yvonne; Isenberg, James; Pollack, Daniel
2007
On the topology of vacuum spacetimes. Zbl 1026.83008
Isenberg, James; Mazzeo, Rafe; Pollack, Daniel
2003
Topological censorship from the initial data point of view. Zbl 1279.83027
Eichmair, Michael; Galloway, Gregory J.; Pollack, Daniel
2013
Scalar curvature and the Einstein constraint equations. Zbl 1268.53048
Corvino, Justin; Pollack, Daniel
2011
Gluing and moduli for noncompact geometric problems. Zbl 0976.53065
Mazzeo, Rafe; Pollack, Daniel
1998
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends. II: Generic metrics. Zbl 1170.83004
Chruściel, Piotr T.; Pacard, Frank; Pollack, Daniel
2009
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends. Zbl 1144.83004
Chruściel, Piotr T.; Pollack, Daniel
2008
The conformal theory of Alexandrov embedded constant mean curvature surfaces in $$\mathbb R^3$$. Zbl 1101.53006
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2005
On the geometry and topology of initial data sets with horizons. Zbl 1402.53053
Andersson, Lars; Dahl, Mattias; Galloway, Gregory J.; Pollack, Daniel
2018
A refined result on sign changing solutions for a critical elliptic problem. Zbl 1266.35064
Ge, Yuxin; Musso, Monica; Pistoia, Angela; Pollack, Daniel
2013
Causal geodesic incompleteness of spacetimes arising from IMP gluing. Zbl 1434.83011
2019
Causal geodesic incompleteness of spacetimes arising from IMP gluing. Zbl 1434.83011
2019
On the geometry and topology of initial data sets with horizons. Zbl 1402.53053
Andersson, Lars; Dahl, Mattias; Galloway, Gregory J.; Pollack, Daniel
2018
Topological censorship from the initial data point of view. Zbl 1279.83027
Eichmair, Michael; Galloway, Gregory J.; Pollack, Daniel
2013
A refined result on sign changing solutions for a critical elliptic problem. Zbl 1266.35064
Ge, Yuxin; Musso, Monica; Pistoia, Angela; Pollack, Daniel
2013
Scalar curvature and the Einstein constraint equations. Zbl 1268.53048
Corvino, Justin; Pollack, Daniel
2011
Mathematical general relativity: a sampler. Zbl 1205.83002
Chruściel, Piotr T.; Galloway, Gregory J.; Pollack, Daniel
2010
The Cauchy problem for Schrödinger flows into Kähler manifolds. Zbl 1193.35208
Kenig, Carlos; Lamm, Tobias; Pollack, Daniel; Staffilani, Gigliola; Toro, Tatiana
2010
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends. II: Generic metrics. Zbl 1170.83004
Chruściel, Piotr T.; Pacard, Frank; Pollack, Daniel
2009
A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Zbl 1218.53042
Hebey, Emmanuel; Pacard, Frank; Pollack, Daniel
2008
Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends. Zbl 1144.83004
Chruściel, Piotr T.; Pollack, Daniel
2008
The constraint equations for the Einstein-scalar field system on compact manifolds. Zbl 1111.83002
Choquet-Bruhat, Yvonne; Isenberg, James; Pollack, Daniel
2007
Applications of theorems of Jean Leray to the Einstein-scalar field equations. Zbl 1169.83007
Choquet-Bruhat, Yvonne; Isenberg, James; Pollack, Daniel
2007
The Einstein-scalar field constraints on asymptotically Euclidean manifolds. Zbl 1112.83008
Choquet-Bruhat, Yvonne; Isenberg, James; Pollack, Daniel
2006
Initial data engineering. Zbl 1080.83002
Chruściel, Piotr T.; Isenberg, James; Pollack, Daniel
2005
A gluing construction for non-vacuum solutions of the Einstein-constraint equations. Zbl 1101.83005
Isenberg, James; Maxwell, David; Pollack, Daniel
2005
The conformal theory of Alexandrov embedded constant mean curvature surfaces in $$\mathbb R^3$$. Zbl 1101.53006
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2005
On the topology of vacuum spacetimes. Zbl 1026.83008
Isenberg, James; Mazzeo, Rafe; Pollack, Daniel
2003
Gluing and Wormholes for the Einstein constraint equations. Zbl 1013.83008
Isenberg, James; Mazzeo, Rafe; Pollack, Daniel
2002
Connected sums of constant mean curvature surfaces in Euclidean 3 space. Zbl 0972.53010
Mazzeo, Rafe; Pacard, Frank; Pollack, Daniel
2001
Gluing and moduli for noncompact geometric problems. Zbl 0976.53065
Mazzeo, Rafe; Pollack, Daniel
1998
Moduli spaces of singular Yamabe metrics. Zbl 0849.58012
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1996
The moduli space of complete embedded constant mean curvature surfaces. Zbl 0966.58005
Kusner, R.; Mazzeo, R.; Pollack, D.
1996
Connected sum constructions for constant scalar curvature metrics. Zbl 0866.58069
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen
1995
Nonuniqueness and high energy solutions for a conformally invariant scalar equation. Zbl 0848.58011
Pollack, Daniel
1993
Compactness results for complete metrics of constant positive scalar curvature on subdomains of $$S^ n$$. Zbl 0794.53025
Pollack, Daniel
1993
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### Cited by 307 Authors

 11 Pacard, Frank 11 Wei, Juncheng 9 Mazzeo, Rafe R. 7 Galloway, Gregory J. 7 Kowalczyk, Michał 7 Pollack, Daniel 7 Premoselli, Bruno 6 Chruściel, Piotr Tadeusz 6 González, María del Mar 6 Khuri, Marcus A. 5 Guo, Zongming 5 Lin, Chang-Shou 5 Mazzieri, Lorenzo 5 Piccione, Paolo 5 Pistoia, Angela 4 Del Pino, Manuel A. 4 DelaTorre, Azahara 4 Jleli, Mohamed Boussairi 4 Karp, Lavi 4 Musso, Monica 4 Petean, Jimmy 4 Rigoli, Marco 4 Speck, Jared 4 Wan, FangShu 3 Ao, Weiwei 3 Brauer, Uwe 3 Caldiroli, Paolo 3 Carlotto, Alessandro 3 Delay, Erwann 3 Disconzi, Marcelo Mendes 3 Finn, David L. 3 Hebey, Emmanuel 3 Isenberg, James A. 3 Leung, Man Chun 3 Liu, Yong 3 Lopes de Lima, Levi 3 Ma, Li 3 Malchiodi, Andrea 3 Morabito, Filippo 3 Onodera, Eiji 3 Ringström, Hans 3 Rodnianski, Igor 3 Xu, Xingwang 2 Alaee, Aghil 2 Albanese, Guglielmo 2 Alías, Luis J. 2 Avalos, Rodrigo 2 Benalili, Mohammed 2 Bettiol, Renato G. 2 Botvinnik, Boris I. 2 Brendle, Simon 2 Butscher, Adrian 2 Cánovas, Verónica L. 2 Cárdenas, Elkin D. 2 Cha, Ye Sle 2 Chen, Chiun-Chuan 2 Corvino, Justin 2 Dobarro, Fernando Ruben 2 Druet, Olivier 2 Fernández, Juan Carlos 2 Friedrich, Helmut 2 Gicquaud, Romain 2 Heller, Sebastian Gregor 2 Hintz, Peter 2 Kim, Seunghyeok 2 Kunduri, Hari K. 2 Kusner, Robert B. 2 Li, Jiayu 2 Ling, Eric 2 Miao, Pengzi 2 Micheletti, Anna Maria 2 Musso, Emilio 2 Ngô Quốc Anh 2 Nicolodi, Lorenzo 2 Pingali, Vamsi P. 2 Rizzi, Matteo 2 Ros, Antonio 2 Ruiz, Juan Miguel 2 Santos, Almir Silva 2 Schmitt, Nicholas 2 Sierra, Willy 2 Sire, Yannick 2 Stavrov Allen, Iva 2 Ünal, Bülent 2 Vaira, Giusi 2 Vâlcu, Caterina 2 Viaclovsky, Jeff A. 2 Weinstein, Gilbert 2 Yau, Shing-Tung 2 Zouaoui, Ali 1 Agudelo, Oscar Mauricio 1 Álvarez, Pablo Morales 1 An, Xinliang 1 Anciaux, Henri 1 Anderson, Michael T. 1 Asok, Aravind 1 Baird, Thomas John 1 Baker, Kenneth L. 1 Baldauf, Julius 1 Barceló, Carlos ...and 207 more Authors
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### Cited in 87 Serials

 16 Communications in Mathematical Physics 13 The Journal of Geometric Analysis 13 Annales Henri Poincaré 11 Journal of Geometry and Physics 11 Journal of Differential Equations 10 Communications in Partial Differential Equations 10 Calculus of Variations and Partial Differential Equations 8 Classical and Quantum Gravity 8 Advances in Mathematics 7 Transactions of the American Mathematical Society 5 General Relativity and Gravitation 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Journal of Functional Analysis 5 Mathematische Annalen 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Differential Geometry and its Applications 4 Annales de l’Institut Fourier 4 Journal für die Reine und Angewandte Mathematik 4 Manuscripta Mathematica 3 Bulletin of the American Mathematical Society. New Series 3 Geometry & Topology 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 3 Journal of High Energy Physics 3 Living Reviews in Relativity 3 Advanced Nonlinear Studies 3 Science China. Mathematics 3 Annals of PDE 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Pacific Journal of Mathematics 2 Annals of Global Analysis and Geometry 2 Journal of the American Mathematical Society 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Selecta Mathematica. New Series 2 Discrete and Continuous Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Geometric Methods in Modern Physics 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Letters. B 1 Reviews in Mathematical Physics 1 Compositio Mathematica 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of Geometry 1 Kodai Mathematical Journal 1 Mathematische Zeitschrift 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Advances in Differential Equations 1 Taiwanese Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Journal of Evolution Equations 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Foundations of Physics 1 Oberwolfach Reports 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications 1 Eurasian Mathematical Journal 1 Bulletin of Mathematical Sciences 1 Advances in Nonlinear Analysis 1 Séminaire Laurent Schwartz. EDP et Applications 1 Transactions of the American Mathematical Society. Series B 1 Peking Mathematical Journal
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### Cited in 25 Fields

 155 Differential geometry (53-XX) 123 Partial differential equations (35-XX) 93 Relativity and gravitational theory (83-XX) 81 Global analysis, analysis on manifolds (58-XX) 8 Manifolds and cell complexes (57-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Quantum theory (81-XX) 4 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)