Edit Profile (opens in new tab) Hofer, Helmut H. W. Compute Distance To: Compute Author ID: hofer.helmut-h-w Published as: Hofer, H.; Hofer, Helmut; Hofer, Helmut W.; Hofer, Helmut H. W. more...less Homepage: https://www.math.ias.edu/people/faculty/hofer External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 93 Publications since 1981, including 5 Books 11 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 40 Co-Authors with 79 Joint Publications 1,078 Co-Co-Authors all top 5 Co-Authors 25 single-authored 29 Zehnder, Eduard J. 23 Wysocki, Krzysztof 10 Ekeland, Ivar 7 Eliashberg, Yakov Matveevich 7 Eliasson, L. Hakan 7 Floer, Andreas 7 Yoccoz, Jean-Christophe 4 Cieliebak, Kai 3 Fish, Joel W. 3 Salamon, Dietmar Arno 3 Viterbo, Claude 2 Abbas, Casim 2 Albers, Peter 2 Frauenfelder, Urs Adrian 2 Kaloshin, Vadim Yu. 2 Schlenk, Felix 2 Toland, John Francis 2 Weinstein, Alan David 1 Abbondandolo, Alberto 1 Arnaud, Marie-Claude 1 Benci, Vieri 1 Bost, Jean-Benoît 1 Bourgeois, Frédéric 1 Bramham, Barney 1 Bridson, Martin R. 1 Fuchs, Dmitry Borisovich 1 Givental, Alexander Borisovich 1 Ilyashenko, Yulij Sergeevich 1 Khesin, Boris A. 1 Kriener, Markus 1 Labourie, François 1 Lackenby, Marc 1 Latschev, Janko 1 Le Jan, Yves 1 Lizan, Véronique 1 Ma, Xiaonan 1 Pandharipande, Rahul 1 Rabinowitz, Paul Henry 1 Sikorav, Jean-Claude 1 Tabachnikov, Serge L. 1 Taubes, Clifford Henry 1 van Koert, Otto 1 Vasil’ev, Viktor Anatol’evich 1 Witten, Edward 1 Woodhouse, Nicholas M. J. 1 Zhang, Weiping all top 5 Serials 8 Mathematische Zeitschrift 8 Oberwolfach Reports 4 Mathematische Annalen 4 Geometric and Functional Analysis. GAFA 3 Communications on Pure and Applied Mathematics 3 Commentarii Mathematici Helvetici 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Ergodic Theory and Dynamical Systems 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Notices of the American Mathematical Society 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Progress in Mathematics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Delft Progress Report 1 Differential and Integral Equations 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Topological Methods in Nonlinear Analysis 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Journal of the European Mathematical Society (JEMS) 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Journal of Fixed Point Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications 1 Modern Birkhäuser Classics 1 Birkhäuser Advanced Texts. Basler Lehrbücher all top 5 Fields 69 Dynamical systems and ergodic theory (37-XX) 54 Differential geometry (53-XX) 32 Global analysis, analysis on manifolds (58-XX) 16 Manifolds and cell complexes (57-XX) 14 Mechanics of particles and systems (70-XX) 13 Ordinary differential equations (34-XX) 12 General and overarching topics; collections (00-XX) 11 Several complex variables and analytic spaces (32-XX) 8 Partial differential equations (35-XX) 7 Operator theory (47-XX) 7 Algebraic topology (55-XX) 3 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 2,915 times in 1,436 Documents Cited by ▼ Year ▼ Introduction to Symplectic Field Theory. Special volume of the journal Geometric and Functional Analysis. Zbl 0989.81114Eliashberg, Y.; Givental, A.; Hofer, H. 195 2000 Compactness results in symplectic field theory. Zbl 1131.53312Bourgeois, F.; Eliashberg, Y.; Hofer, H.; Wysocki, K.; Zehnder, E. 150 2003 Symplectic invariants and Hamiltonian dynamics. Zbl 0805.58003Hofer, Helmut; Zehnder, Eduard 146 1994 Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three. Zbl 0797.58023Hofer, H. 136 1993 The dynamics on three-dimensional strictly convex energy surfaces. Zbl 0944.37031Hofer, H.; Wysocki, K.; Zehnder, E. 107 1998 Variational and topological methods in partially ordered Hilbert spaces. Zbl 0488.47034Hofer, Helmut 103 1982 Transversality in elliptic Morse theory for the symplectic action. Zbl 0846.58025Floer, Andreas; Hofer, Helmut; Salamon, Dietmar 94 1995 On the topological properties of symplectic maps. Zbl 0713.58004Hofer, H. 94 1990 Floer homology and Novikov rings. Zbl 0842.58029Hofer, H.; Salamon, D. A. 86 1995 First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems. Zbl 0702.34039Hofer, H.; Wysocki, K. 82 1991 Symplectic invariants and Hamiltonian dynamics. Zbl 0837.58013Hofer, H.; Zehnder, E. 78 1995 Symplectic topology and Hamiltonian dynamics. Zbl 0641.53035Ekeland, I.; Hofer, H. 74 1989 Convex Hamiltonian energy surfaces and their periodic trajectories. Zbl 0641.58038Ekeland, I.; Hofer, H. 69 1987 Finite energy foliations of tight three-spheres and Hamiltonian dynamics. Zbl 1215.53076Hofer, H.; Wysocki, K.; Zehnder, E. 67 2003 Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Zbl 0594.58035Ekeland, I.; Hofer, H. 65 1985 Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics. Zbl 0861.58018Hofer, H.; Wysocki, K.; Zehnder, E. 59 1996 A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem. Zbl 0573.58007Hofer, Helmut 56 1985 Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027Hofer, H.; Wysocki, K.; Zehnder, E. 55 1995 Coherent orientations for periodic orbit problems in symplectic geometry. Zbl 0789.58022Floer, A.; Hofer, H. 54 1993 Symplectic homology. I: Open sets in \(\mathbb{C}^ n\). Zbl 0810.58013Floer, A.; Hofer, H. 53 1994 On genericity for holomorphic curves in four-dimensional almost-complex manifolds. Zbl 0911.53014Hofer, Helmut; Lizan, Véronique; Sikorav, Jean-Claude 50 1997 A note on the topological degree at a critical point of mountainpass- type. Zbl 0545.58015Hofer, Helmut 49 1984 Periodic solutions on hypersurfaces and a result by C. Viterbo. Zbl 0631.58022Hofer, H.; Zehnder, E. 46 1987 Symplectic topology and Hamiltonian dynamics. II. Zbl 0729.53039Ekeland, Ivar; Hofer, Helmut 45 1990 Symplectic homology. II: A general construction. Zbl 0869.58011Cieliebak, K.; Floer, A.; Hofer, H. 41 1995 Quantitative symplectic geometry. Zbl 1143.53341Cieliebak, Kai; Hofer, Helmut; Latschev, Janko; Schlenk, Felix 37 2007 Properties of pseudoholomorphic curves in symplectizations. III: Fredholm theory. Zbl 0924.58003Hofer, H.; Wysocki, K.; Zehnder, E. 35 1999 Applications of symplectic homology. II: Stability of the action spectrum. Zbl 0869.58013Cieliebak, K.; Floer, A.; Hofer, H.; Wysocki, K. 34 1996 The Weinstein conjecture in the presence of holomorphic spheres. Zbl 0773.58021Hofer, H.; Viterbo, C. 34 1992 Applications of symplectic homology. I. Zbl 0869.58012Floer, A.; Hofer, H.; Wysocki, K. 31 1994 Subharmonics for convex nonautonomous Hamiltonian systems. Zbl 0601.58035Ekeland, I.; Hofer, H. 30 1987 The Weinstein conjecture in cotangent bundles and related results. Zbl 0697.58044Hofer, H.; Viterbo, C. 30 1988 Lusternik-Schnirelman-theory for Lagrangian intersections. Zbl 0669.58006Hofer, H. 29 1988 A general Fredholm theory. I: A splicing-based differential geometry. Zbl 1149.53053Hofer, H.; Wysocki, K.; Zehnder, E. 29 2007 A general Fredholm theory. II: Implicit function theorems. Zbl 1217.58005Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard 27 2009 Estimates for the energy of a symplectic map. Zbl 0787.58017Hofer, H. 24 1993 A general Fredholm theory. III: Fredholm functors and polyfolds. Zbl 1185.58002Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard 23 2009 A new capacity for symplectic manifolds. Zbl 0702.58021Hofer, H.; Zehnder, E. 23 1990 The Weinstein conjecture for planar contact structures in dimension three. Zbl 1098.53063Abbas, Casim; Cieliebak, Kai; Hofer, Helmut 22 2005 A characterisation of the tight three-sphere. Zbl 0861.57026Hofer, H.; Wysocki, K.; Zehnder, E. 21 1995 The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\). Zbl 0666.58019Floer, A.; Hofer, H.; Viterbo, C. 21 1990 Lagrangian embeddings and critical point theory. Zbl 0591.58009Hofer, Helmut 21 1985 Lagrangian intersections in contact geometry. Zbl 0844.58038Eliashberg, Y.; Hofer, H.; Salamon, D. 20 1995 First steps towards a symplectic dynamics. Zbl 1382.53023Bramham, B.; Hofer, H. 20 2012 Integration theory on the zero sets of polyfold Fredholm sections. Zbl 1210.58004Hofer, H.; Wysocki, K.; Zehnder, E. 19 2010 Properties of pseudoholomorphic curves in symplectisation. IV: Asymptotics with degeneracies. Zbl 0868.53043Hofer, H.; Wysocki, K.; Zehnder, E. 19 1996 Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017Hofer, Helmut; Toland, John 19 1984 Global surfaces of section in the planar restricted 3-body problem. Zbl 1287.70006Albers, Peter; Fish, Joel W.; Frauenfelder, Urs; Hofer, Helmut; van Koert, Otto 19 2012 Sc-smoothness, retractions and new models for smooth spaces. Zbl 1211.53099Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard 18 2010 On strongly indefinite functionals with applications. Zbl 0524.58010Hofer, Helmut 18 1983 Symplectic invariants and Hamiltonian dynamics. Reprint of the 1994 original. Zbl 1223.37001Hofer, Helmut; Zehnder, Eduard 17 2011 Applications of polyfold theory. I: The polyfolds of Gromov-Witten theory. Zbl 1434.53095Hofer, H.; Wysocki, K.; Zehnder, E. 16 2017 A characterization of the tight 3-sphere. II. Zbl 0954.57004Hofer, H.; Wysocki, K.; Zehnder, E. 14 1999 On the range of a wave operator with nonmonotone nonlinearity. Zbl 0505.35058Hofer, Helmut 14 1982 Holomorphic curves in contact dynamics. Zbl 0931.37026Hofer, Helmut; Kriener, Markus 13 1999 On the Weinstein conjecture in higher dimensions. Zbl 1166.53052Albers, Peter; Hofer, Helmut 13 2009 A Hamiltonian characterization of the three-ball. Zbl 0803.58045Eliashberg, Y.; Hofer, H. 12 1994 Holomorphic curves and dynamics in dimension three. Zbl 1004.53062Hofer, Helmut 11 1999 A general Fredholm theory and applications. Zbl 1185.58001Hofer, H. 11 2006 Unknotted periodic orbits for Reeb flows on the three-sphere. Zbl 0898.58018Hofer, H.; Wysocki, K.; Zehnder, E. 10 1996 Finite energy cylinders of small area. Zbl 1041.57009Hofer, H.; Wysocki, K.; Zehnder, E. 10 2002 Two symplectic fixed-point theorems with applications to Hamiltonian dynamics. Zbl 0709.58017Ekeland, I.; Hofer, H. 9 1989 The topological degree at a critical point of mountain-pass type. Zbl 0608.58013Hofer, Helmut 8 1986 A new proof for a result of Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories on a prescribed energy surface. Zbl 0541.70032Hofer, Helmut 8 1982 Dynamics, topology and holomorphic curves. Zbl 0908.58020Hofer, Helmut H. W. 7 1998 Holomorphic curves and real three-dimensional dynamics. Special volume of the journal Geometric and Functional Analysis. Zbl 1161.53362Hofer, H. 6 2000 Unseen symplectic boundaries. Zbl 0870.53020Eliashberg, Yakov; Hofer, Helmut 6 1996 The Floer memorial volume. Zbl 0824.00019 6 1995 A remark on a priori bounds and existence for periodic solutions of Hamiltonian systems. Zbl 0656.34033Benci, Vieri; Hofer, Helmut; Rabinowitz, Paul H. 5 1987 Symplectic invariants. Zbl 0747.53026Hofer, Helmut 5 1991 A multiplicity result for a class of nonlinear problems with application to a nonlinear wave equation. Zbl 0451.35043Hofer, Helmut 4 1981 Correction to “A characterisation of the tight three-sphere”. Zbl 0903.57009Hofer, H.; Wysocki, K.; Zehnder, E. 4 1997 Towards the definition of symplectic boundary. Zbl 0756.53016Eliashberg, Y.; Hofer, H. 4 1992 Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020Hofer, Helmut; Toland, John 4 1985 Holomorphic curves and global questions in contact geometry. Zbl 1431.53001Abbas, Casim; Hofer, Helmut 4 2019 Polyfold and Fredholm theory. Zbl 1479.58002Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard 3 2021 Existence and multiplicity result for a class of second order elliptic equations. Zbl 0468.35042Hofer, Helmut 3 1981 An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity. Zbl 0807.58014Eliashberg, Y.; Hofer, H. 2 1993 Pseudoholomorphic curves and dynamics in three dimensions. Zbl 1052.53063Hofer, H.; Wysocki, K.; Zehnder, E. 2 2002 Polyfolds and Fredholm theory. Zbl 1376.53002Hofer, Helmut H. W. 2 2017 Recent progress in symplectic geometry. Zbl 0687.53033Hofer, H. 2 1990 Symplectic capacities. Zbl 0729.58026Hofer, H. 2 1990 A strong form of the mountain pass theorem and application. Zbl 0678.58011Hofer, H. 1 1988 Polyfold and Fredholm theory. Zbl 1479.58002Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard 3 2021 Holomorphic curves and global questions in contact geometry. Zbl 1431.53001Abbas, Casim; Hofer, Helmut 4 2019 Applications of polyfold theory. I: The polyfolds of Gromov-Witten theory. Zbl 1434.53095Hofer, H.; Wysocki, K.; Zehnder, E. 16 2017 Polyfolds and Fredholm theory. Zbl 1376.53002Hofer, Helmut H. W. 2 2017 First steps towards a symplectic dynamics. Zbl 1382.53023Bramham, B.; Hofer, H. 20 2012 Global surfaces of section in the planar restricted 3-body problem. Zbl 1287.70006Albers, Peter; Fish, Joel W.; Frauenfelder, Urs; Hofer, Helmut; van Koert, Otto 19 2012 Symplectic invariants and Hamiltonian dynamics. Reprint of the 1994 original. Zbl 1223.37001Hofer, Helmut; Zehnder, Eduard 17 2011 Integration theory on the zero sets of polyfold Fredholm sections. Zbl 1210.58004Hofer, H.; Wysocki, K.; Zehnder, E. 19 2010 Sc-smoothness, retractions and new models for smooth spaces. Zbl 1211.53099Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard 18 2010 A general Fredholm theory. II: Implicit function theorems. Zbl 1217.58005Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard 27 2009 A general Fredholm theory. III: Fredholm functors and polyfolds. Zbl 1185.58002Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard 23 2009 On the Weinstein conjecture in higher dimensions. Zbl 1166.53052Albers, Peter; Hofer, Helmut 13 2009 Quantitative symplectic geometry. Zbl 1143.53341Cieliebak, Kai; Hofer, Helmut; Latschev, Janko; Schlenk, Felix 37 2007 A general Fredholm theory. I: A splicing-based differential geometry. Zbl 1149.53053Hofer, H.; Wysocki, K.; Zehnder, E. 29 2007 A general Fredholm theory and applications. Zbl 1185.58001Hofer, H. 11 2006 The Weinstein conjecture for planar contact structures in dimension three. Zbl 1098.53063Abbas, Casim; Cieliebak, Kai; Hofer, Helmut 22 2005 Compactness results in symplectic field theory. Zbl 1131.53312Bourgeois, F.; Eliashberg, Y.; Hofer, H.; Wysocki, K.; Zehnder, E. 150 2003 Finite energy foliations of tight three-spheres and Hamiltonian dynamics. Zbl 1215.53076Hofer, H.; Wysocki, K.; Zehnder, E. 67 2003 Finite energy cylinders of small area. Zbl 1041.57009Hofer, H.; Wysocki, K.; Zehnder, E. 10 2002 Pseudoholomorphic curves and dynamics in three dimensions. Zbl 1052.53063Hofer, H.; Wysocki, K.; Zehnder, E. 2 2002 Introduction to Symplectic Field Theory. Special volume of the journal Geometric and Functional Analysis. Zbl 0989.81114Eliashberg, Y.; Givental, A.; Hofer, H. 195 2000 Holomorphic curves and real three-dimensional dynamics. Special volume of the journal Geometric and Functional Analysis. Zbl 1161.53362Hofer, H. 6 2000 Properties of pseudoholomorphic curves in symplectizations. III: Fredholm theory. Zbl 0924.58003Hofer, H.; Wysocki, K.; Zehnder, E. 35 1999 A characterization of the tight 3-sphere. II. Zbl 0954.57004Hofer, H.; Wysocki, K.; Zehnder, E. 14 1999 Holomorphic curves in contact dynamics. Zbl 0931.37026Hofer, Helmut; Kriener, Markus 13 1999 Holomorphic curves and dynamics in dimension three. Zbl 1004.53062Hofer, Helmut 11 1999 The dynamics on three-dimensional strictly convex energy surfaces. Zbl 0944.37031Hofer, H.; Wysocki, K.; Zehnder, E. 107 1998 Dynamics, topology and holomorphic curves. Zbl 0908.58020Hofer, Helmut H. W. 7 1998 On genericity for holomorphic curves in four-dimensional almost-complex manifolds. Zbl 0911.53014Hofer, Helmut; Lizan, Véronique; Sikorav, Jean-Claude 50 1997 Correction to “A characterisation of the tight three-sphere”. Zbl 0903.57009Hofer, H.; Wysocki, K.; Zehnder, E. 4 1997 Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics. Zbl 0861.58018Hofer, H.; Wysocki, K.; Zehnder, E. 59 1996 Applications of symplectic homology. II: Stability of the action spectrum. Zbl 0869.58013Cieliebak, K.; Floer, A.; Hofer, H.; Wysocki, K. 34 1996 Properties of pseudoholomorphic curves in symplectisation. IV: Asymptotics with degeneracies. Zbl 0868.53043Hofer, H.; Wysocki, K.; Zehnder, E. 19 1996 Unknotted periodic orbits for Reeb flows on the three-sphere. Zbl 0898.58018Hofer, H.; Wysocki, K.; Zehnder, E. 10 1996 Unseen symplectic boundaries. Zbl 0870.53020Eliashberg, Yakov; Hofer, Helmut 6 1996 Transversality in elliptic Morse theory for the symplectic action. Zbl 0846.58025Floer, Andreas; Hofer, Helmut; Salamon, Dietmar 94 1995 Floer homology and Novikov rings. Zbl 0842.58029Hofer, H.; Salamon, D. A. 86 1995 Symplectic invariants and Hamiltonian dynamics. Zbl 0837.58013Hofer, H.; Zehnder, E. 78 1995 Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027Hofer, H.; Wysocki, K.; Zehnder, E. 55 1995 Symplectic homology. II: A general construction. Zbl 0869.58011Cieliebak, K.; Floer, A.; Hofer, H. 41 1995 A characterisation of the tight three-sphere. Zbl 0861.57026Hofer, H.; Wysocki, K.; Zehnder, E. 21 1995 Lagrangian intersections in contact geometry. Zbl 0844.58038Eliashberg, Y.; Hofer, H.; Salamon, D. 20 1995 The Floer memorial volume. Zbl 0824.00019 6 1995 Symplectic invariants and Hamiltonian dynamics. Zbl 0805.58003Hofer, Helmut; Zehnder, Eduard 146 1994 Symplectic homology. I: Open sets in \(\mathbb{C}^ n\). Zbl 0810.58013Floer, A.; Hofer, H. 53 1994 Applications of symplectic homology. I. Zbl 0869.58012Floer, A.; Hofer, H.; Wysocki, K. 31 1994 A Hamiltonian characterization of the three-ball. Zbl 0803.58045Eliashberg, Y.; Hofer, H. 12 1994 Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three. Zbl 0797.58023Hofer, H. 136 1993 Coherent orientations for periodic orbit problems in symplectic geometry. Zbl 0789.58022Floer, A.; Hofer, H. 54 1993 Estimates for the energy of a symplectic map. Zbl 0787.58017Hofer, H. 24 1993 An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity. Zbl 0807.58014Eliashberg, Y.; Hofer, H. 2 1993 The Weinstein conjecture in the presence of holomorphic spheres. Zbl 0773.58021Hofer, H.; Viterbo, C. 34 1992 Towards the definition of symplectic boundary. Zbl 0756.53016Eliashberg, Y.; Hofer, H. 4 1992 First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems. Zbl 0702.34039Hofer, H.; Wysocki, K. 82 1991 Symplectic invariants. Zbl 0747.53026Hofer, Helmut 5 1991 On the topological properties of symplectic maps. Zbl 0713.58004Hofer, H. 94 1990 Symplectic topology and Hamiltonian dynamics. II. Zbl 0729.53039Ekeland, Ivar; Hofer, Helmut 45 1990 A new capacity for symplectic manifolds. Zbl 0702.58021Hofer, H.; Zehnder, E. 23 1990 The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\). Zbl 0666.58019Floer, A.; Hofer, H.; Viterbo, C. 21 1990 Recent progress in symplectic geometry. Zbl 0687.53033Hofer, H. 2 1990 Symplectic capacities. Zbl 0729.58026Hofer, H. 2 1990 Symplectic topology and Hamiltonian dynamics. Zbl 0641.53035Ekeland, I.; Hofer, H. 74 1989 Two symplectic fixed-point theorems with applications to Hamiltonian dynamics. Zbl 0709.58017Ekeland, I.; Hofer, H. 9 1989 The Weinstein conjecture in cotangent bundles and related results. Zbl 0697.58044Hofer, H.; Viterbo, C. 30 1988 Lusternik-Schnirelman-theory for Lagrangian intersections. Zbl 0669.58006Hofer, H. 29 1988 A strong form of the mountain pass theorem and application. Zbl 0678.58011Hofer, H. 1 1988 Convex Hamiltonian energy surfaces and their periodic trajectories. Zbl 0641.58038Ekeland, I.; Hofer, H. 69 1987 Periodic solutions on hypersurfaces and a result by C. Viterbo. Zbl 0631.58022Hofer, H.; Zehnder, E. 46 1987 Subharmonics for convex nonautonomous Hamiltonian systems. Zbl 0601.58035Ekeland, I.; Hofer, H. 30 1987 A remark on a priori bounds and existence for periodic solutions of Hamiltonian systems. Zbl 0656.34033Benci, Vieri; Hofer, Helmut; Rabinowitz, Paul H. 5 1987 The topological degree at a critical point of mountain-pass type. Zbl 0608.58013Hofer, Helmut 8 1986 Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Zbl 0594.58035Ekeland, I.; Hofer, H. 65 1985 A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem. Zbl 0573.58007Hofer, Helmut 56 1985 Lagrangian embeddings and critical point theory. Zbl 0591.58009Hofer, Helmut 21 1985 Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020Hofer, Helmut; Toland, John 4 1985 A note on the topological degree at a critical point of mountainpass- type. Zbl 0545.58015Hofer, Helmut 49 1984 Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017Hofer, Helmut; Toland, John 19 1984 On strongly indefinite functionals with applications. Zbl 0524.58010Hofer, Helmut 18 1983 Variational and topological methods in partially ordered Hilbert spaces. Zbl 0488.47034Hofer, Helmut 103 1982 On the range of a wave operator with nonmonotone nonlinearity. Zbl 0505.35058Hofer, Helmut 14 1982 A new proof for a result of Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories on a prescribed energy surface. Zbl 0541.70032Hofer, Helmut 8 1982 A multiplicity result for a class of nonlinear problems with application to a nonlinear wave equation. Zbl 0451.35043Hofer, Helmut 4 1981 Existence and multiplicity result for a class of second order elliptic equations. Zbl 0468.35042Hofer, Helmut 3 1981 all cited Publications top 5 cited Publications all top 5 Cited by 1,064 Authors 34 Hofer, Helmut H. W. 32 Long, Yiming 25 Ginzburg, Viktor L’vovich 24 Albers, Peter 23 Frauenfelder, Urs Adrian 21 Liu, Chungen 17 de Gosson, Maurice Alexis 17 Gürel, Basak Zehra 17 Polterovich, Leonid Viktorovich 17 Zehmisch, Kai 16 Cieliebak, Kai 15 Abbondandolo, Alberto 15 Ekholm, Tobias 15 McDuff, Dusa 14 Dancer, Edward Norman 14 Eliashberg, Yakov Matveevich 14 Macarini, Leonardo 14 Zhang, Duanzhi 13 Etnyre, John B. 13 Hryniewicz, Umberto L. 13 Salomão, Pedro Antonio Santoro 13 Schlenk, Felix 13 Wang, Wei 13 Wysocki, Krzysztof 12 Bourgeois, Frédéric 12 Séré, Eric 12 Wendl, Chris 11 Dimitroglou Rizell, Georgios 11 Hind, Richard K. 11 Kang, Jungsoo 11 Liu, Hui 11 Seidel, Paul 11 Taubes, Clifford Henry 10 Duan, Huagui 10 Hutchings, Michael Lounsbery 10 Lalonde, François 10 Ono, Kaoru 10 Viterbo, Claude 10 Zehnder, Eduard J. 9 Colin, Vincent 9 Floer, Andreas 9 Geiges, Hansjörg 9 Honda, Ko 9 Li, Shujie 9 McKenna, Patrick Joseph 9 Oancea, Alexandru 9 Oh, Yong-Geun 9 Smith, Ivan 9 Tanaka, Kazunaga 9 Traynor, Lisa 9 Wehrheim, Katrin 8 Ding, Yanheng 8 Ekeland, Ivar 8 Merry, Will J. 8 Paternain, Gabriel Pedro 8 Sabloff, Joshua M. 8 Toland, John Francis 8 van Koert, Otto 8 Woodward, Christopher T. 7 Abouzaid, Mohammed 7 Banyaga, Augustin 7 Buhovsky, Lev 7 Fukaya, Kenji 7 Girardi, Mario 7 Irie, Kei 7 Lu, Guangcun 7 McLean, Mark 7 Montecchiari, Piero 7 Shi, Haiping 7 Sukhov, Alexandre B. 7 Sullivan, Michael G. 7 Usher, Michael 7 Wang, Zhi-Qiang 7 Yan, Shusen 6 Benci, Vieri 6 Biran, Paul 6 Castro, Alfonso 6 Ghiggini, Paolo 6 Kerman, Ely 6 Kwon, Myeonggi 6 Lazer, Alan C. 6 Ostrover, Yaron 6 Pandharipande, Rahul 6 Pelayo, Alvaro 6 Rossi, Paolo 6 Seyfaddini, Sobhan 6 Solimini, Sergio 6 Solomon, Jake P. 6 Tarantello, Gabriella 6 Tian, Gang 6 Zhang, Fubao 6 Zhang, Xiaofei 5 Alves, Marcelo R. R. 5 An, Tianqing 5 Benedetti, Gabriele 5 Bramham, Barney 5 Casals, Roger 5 Felmer, Patricio L. 5 Gaussier, Hervé 5 Hu, Xijun ...and 964 more Authors all top 5 Cited in 221 Serials 69 Geometry & Topology 54 Journal of Differential Equations 52 Journal of Fixed Point Theory and Applications 44 Journal of Mathematical Analysis and Applications 43 Duke Mathematical Journal 43 Mathematische Zeitschrift 38 Inventiones Mathematicae 37 Advances in Mathematics 35 Nonlinear Analysis. Theory, Methods & Applications 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 Transactions of the American Mathematical Society 32 Calculus of Variations and Partial Differential Equations 30 Journal of Topology and Analysis 28 Algebraic & Geometric Topology 27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 Geometric and Functional Analysis. GAFA 23 Mathematische Annalen 21 Communications in Mathematical Physics 21 International Journal of Mathematics 20 Communications in Contemporary Mathematics 18 Journal of Functional Analysis 18 Selecta Mathematica. New Series 16 Journal of Geometry and Physics 16 Discrete and Continuous Dynamical Systems 14 Israel Journal of Mathematics 14 Ergodic Theory and Dynamical Systems 13 Journal of Mathematical Physics 13 Proceedings of the American Mathematical Society 13 Journal of the European Mathematical Society (JEMS) 12 Compositio Mathematica 12 Journal of the American Mathematical Society 11 Differential Geometry and its Applications 11 Bulletin of the American Mathematical Society. New Series 10 Communications on Pure and Applied Mathematics 10 Manuscripta Mathematica 10 NoDEA. Nonlinear Differential Equations and Applications 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Annales de l’Institut Fourier 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 9 Acta Mathematica Sinica. English Series 9 Science China. Mathematics 8 Commentarii Mathematici Helvetici 8 Geometriae Dedicata 8 Memoirs of the American Mathematical Society 8 Annals of Global Analysis and Geometry 8 The Journal of Geometric Analysis 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Frontiers of Mathematics in China 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Topology and its Applications 7 Journal of Dynamics and Differential Equations 7 Qualitative Theory of Dynamical Systems 7 Journal of Modern Dynamics 7 Journal of Topology 6 Archive for Rational Mechanics and Analysis 6 Letters in Mathematical Physics 6 Archiv der Mathematik 6 Communications in Partial Differential Equations 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Abstract and Applied Analysis 6 Annals of Mathematics. Second Series 6 Advanced Nonlinear Studies 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Publications Mathématiques 5 Rendiconti del Seminario Matematico della Università di Padova 5 Chinese Annals of Mathematics. Series B 5 Physica D 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Communications on Pure and Applied Analysis 4 Applicable Analysis 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Journal of Computational and Applied Mathematics 4 Proceedings of the London Mathematical Society. Third Series 4 Applied Mathematics Letters 4 Linear Algebra and its Applications 4 Expositiones Mathematicae 4 Indagationes Mathematicae. New Series 4 Journal of Mathematical Sciences (New York) 4 Quantum Topology 4 Kyoto Journal of Mathematics 4 Arabian Journal of Mathematics 3 Physica A 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Acta Mathematica 3 Bulletin de la Société Mathématique de France 3 Journal of the London Mathematical Society. Second Series 3 Michigan Mathematical Journal 3 Results in Mathematics 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Regular and Chaotic Dynamics 3 Annales Henri Poincaré 3 Nonlinear Analysis. Real World Applications 3 Dynamical Systems 3 Foundations of Physics 3 Boundary Value Problems 3 Proceedings of the Steklov Institute of Mathematics 3 Annales Mathématiques du Québec 3 Arnold Mathematical Journal 3 Journal de l’École Polytechnique – Mathématiques 3 Korean Journal of Mathematics ...and 121 more Serials all top 5 Cited in 52 Fields 759 Differential geometry (53-XX) 529 Dynamical systems and ergodic theory (37-XX) 301 Manifolds and cell complexes (57-XX) 286 Global analysis, analysis on manifolds (58-XX) 243 Partial differential equations (35-XX) 185 Ordinary differential equations (34-XX) 104 Mechanics of particles and systems (70-XX) 90 Algebraic geometry (14-XX) 83 Several complex variables and analytic spaces (32-XX) 75 Operator theory (47-XX) 50 Quantum theory (81-XX) 41 Algebraic topology (55-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 28 Convex and discrete geometry (52-XX) 14 Fluid mechanics (76-XX) 13 Difference and functional equations (39-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Topological groups, Lie groups (22-XX) 10 Functional analysis (46-XX) 9 Category theory; homological algebra (18-XX) 8 General topology (54-XX) 7 Group theory and generalizations (20-XX) 6 Numerical analysis (65-XX) 6 Mechanics of deformable solids (74-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Relativity and gravitational theory (83-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Biology and other natural sciences (92-XX) 3 Associative rings and algebras (16-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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