Новые обобщения геометрической теоремы Пуанкаре
В. Л. Гинзбург

Эта публикация цитируется в следующих статьяx:

1. Daniel Ketover, Yevgeny Liokumovich, “On the existence of closed $C^{1,1}$ curves of constant curvature”, Calc. Var., 62:9 (2023)  
2. Alberto Abbondandolo, Gabriele Benedetti, “On the local systolic optimality of Zoll contact forms”, Geom. Funct. Anal., 33:2 (2023), 299  
3. LUCA ASSELLE, GABRIELE BENEDETTI, “Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems”, Ergod. Th. Dynam. Sys., 42:6 (2022), 1871  
4. Alberto Abbondandolo, Christian Lange, Marco Mazzucchelli, “Higher systolic inequalities for 3-dimensional contact manifolds”, Journal de l'École polytechnique — Mathématiques, 9 (2022), 807  
5. Roberta Musina, Fabio Zuddas, “Many closed K-magnetic geodesics on ${\mathbb {S}}^2$”, manuscripta math., 168:1-2 (2022), 203  
6. Youngjin Bae, Kevin Wiegand, Kai Zehmisch, “Periodic orbits in virtually contact structures”, J. Topol. Anal., 12:02 (2020), 371  
7. Luca Asselle, Christian Lange, “On the rigidity of Zoll magnetic systems on surfaces”, Nonlinearity, 33:7 (2020), 3173  
8. Roberta Musina, Fabio Zuddas, “Embedded loops in the hyperbolic plane with prescribed, almost constant curvature”, Ann Glob Anal Geom, 55:3 (2019), 509  
9. Yi Lin, Xiangdong Yang, “Equivariant formality of Hamiltonian transversely symplectic foliations”, Pacific J. Math., 298:1 (2019), 59  
10. Luca Asselle, Felix Schmäschke, “On the existence of closed magnetic geodesics via symplectic reduction”, J. Fixed Point Theory Appl., 20:1 (2018)  
11. Luca Asselle, Gabriele Benedetti, “The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles”, J. Topol. Anal., 08:03 (2016), 545  
12. Iskander A. Taimanov, “On an Integrable Magnetic Geodesic Flow on the Two-torus”, Regul. Chaotic Dyn., 20:6 (2015), 667–678        
13. Luca Asselle, Gabriele Benedetti, “Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level”, Calc. Var., 54:2 (2015), 1525  
14. Viktor L. Ginzburg, Başak Z. Gürel, “The Conley Conjecture and Beyond”, Arnold Math J., 1:3 (2015), 299  
15. Gabriele Benedetti, Kai Zehmisch, “On the existence of periodic orbits for magnetic systems on the two-sphere”, Journal of Modern Dynamics, 9:01 (2015), 141  
16. Viktor L. Ginzburg, Başak Z. Gürel, Leonardo Macarini, “On the Conley conjecture for Reeb flows”, Int. J. Math., 26:07 (2015), 1550047  
17. J. C. Álvarez Paiva, F. Balacheff, “Contact geometry and isosystolic inequalities”, Geom. Funct. Anal., 24:2 (2014), 648  
18. MATTHIAS SCHNEIDER, “Alexandrov-embedded closed magnetic geodesics on S2”, Ergod. Th. Dynam. Sys., 32:4 (2012), 1471  
19. Jim Carrell, Kiumars Kaveh, Volker Puppe, “Vector fields, torus actions and equivariant cohomology”, Pacific J. Math., 232:1 (2007), 61  
20. Arnold's Problems, 2005, 181  
21. Ely Kerman, “Squeezing in Floer theory and refined Hofer–Zehnder capacities of sets near symplectic submanifolds”, Geom. Topol., 9:4 (2005), 1775  
22. Mark Levi, “On a problem by Arnold on periodic motions in magnetic fields”, Comm Pure Appl Math, 56:8 (2003), 1165  
23. Viktor L. Ginzburg, Ely Kerman, “Periodic orbits of Hamiltonian flows near symplectic extrema”, Pacific J. Math., 206:1 (2002), 69  
24. César Castilho, “The Motion of a Charged Particle on a Riemannian Surface under a Non-Zero Magnetic Field”, Journal of Differential Equations, 171:1 (2001), 110  
25. Viktor L. Ginzburg, European Congress of Mathematics, 2001, 547  
26. Sam Evens, “On Springer representations and the Zuckerman functor”, Pacific J. Math., 180:2 (1997), 221  
27. Viktor L. Ginzburg, “On the existence and non-existence of closed trajectories for some Hamiltonian flows”, Math Z, 223:3 (1996), 397  
28. Viktor L. Ginzburg, “On the existence and non-existence of closed trajectories for some Hamiltonian flows”, Math Z, 223:1 (1996), 397  
29. Gregory Lupton, John Oprea, “Cohomologically symplectic spaces: toral actions and the Gottlieb group”, Trans. Amer. Math. Soc., 347:1 (1995), 261  
30. Augustin Banyaga, Philippe Rukimbira, “Weak stability of almost regular contact foliations”, J Geom, 50:1-2 (1994), 16  
31. И. А. Тайманов, “Замкнутые экстремали на двумерных многообразиях”, УМН, 47:2(284) (1992), 143–185        ; I. A. Taimanov, “Closed extremals on two-dimensional manifolds”, Russian Math. Surveys, 47:2 (1992), 163–211    
32. И. А. Тайманов, “Несамопересекающиеся замкнутые экстремали многозначных или не всюду положительных функционалов”, Изв. АН СССР. Сер. матем., 55:2 (1991), 367–383        ; I. A. Taimanov, “Nonselfintersecting closed extremals of multivalued or not everywhere positive functionals”, Math. USSR-Izv., 38:2 (1992), 359–374    
33. В. Л. Гинзбург, “О замкнутых характеристиках 2-форм”, УМН, 43:5(263) (1988), 183–184        ; V. L. Ginzburg, “On closed characteristics of 2-forms”, Russian Math. Surveys, 43:5 (1988), 225–226