Found 207 Documents (Results 1–100)
The Dixmier-Douady class, the action homomorphism, and group cocycles on the symplectomorphism group. (English) Zbl 1543.53078
Reviewer: Tatsuki Seto (Tōkyō)
On a quasimorphism of Hamiltonian diffeomorphisms and quantization. (English) Zbl 07871026
Reviewer: Andrea Galasso (Taipei)
The Calabi invariant for Hamiltonian diffeomorphisms of the unit disk. (L’invariant de Calabi des difféomorphismes hamiltoniens du disque unité.) (English. French summary) Zbl 1542.37054
Reviewer: William J. Satzer Jr. (St. Paul)
\(C^0\)-gap between entropy-zero Hamiltonians and autonomous diffeomorphisms of surfaces. (English) Zbl 1526.37049
Reviewer: William J. Satzer Jr. (St. Paul)
Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. II. (English. Ukrainian original) Zbl 1517.37078
Ukr. Math. J. 74, No. 9, 1348-1368 (2023); translation from Ukr. Mat. Zh. 74, No. 9, 1182-1200 (2022).
Asymptotic representations of Hamiltonian diffeomorphisms and quantization. (English) Zbl 1521.53065
Reviewer: Tatyana Barron (London, Ontario)
On the Hofer-Zehnder conjecture on \(\mathbb{C}\mathrm{P}^d\) via generating functions. (English) Zbl 1509.70021
Reviewer: Stefan Suhr (Bochum)
A dual pair for the contact group. (English) Zbl 1498.53106
Reviewer: Andrea Galasso (Taipei)
On the divergence of Birkhoff normal forms. (English) Zbl 1501.37065
Reviewer: William J. Satzer Jr. (St. Paul)
The helicity uniqueness conjecture in 3D hydrodynamics. (English) Zbl 1497.37095
Reviewer: Christian Zillinger (Karlsruhe)
A variational finite element discretization of compressible flow. (English) Zbl 1506.65153
Reviewer: Jan Giesselmann (Darmstadt)
Topological persistence in geometry and analysis. (English) Zbl 1464.55003
University Lecture Series 74. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5495-1/pbk; 978-1-4704-5679-5/ebook). xi, 128 p. (2020).
Reviewer: Massimo Ferri (Bologna)
Homotopy properties of smooth functions on the Möbius band. (English) Zbl 1456.57027
Reviewer: Dorin Andrica (Riyadh)
Conley conjecture revisited. (English) Zbl 1428.53085
\(p\)-cyclic persistent homology and Hofer distance. (English) Zbl 1427.53096
Reviewer: Akira Asada (Takarazuka)
A quick view of Lagrangian Floer homology. (English) Zbl 1409.53070
Hernández-Lamoneda, Luis (ed.) et al., Geometrical themes inspired by the N-body problem. Lecture notes given at the 7th mini-meeting on differential geometry, Center for Research in Mathematics (CIMAT), Guanajuato, México, February 17–19, 2015. Cham: Springer. Lect. Notes Math. 2204, 91-125 (2018).
Persistence modules with operators in Morse and Floer theory. (English) Zbl 1422.53074
Reviewer: Andrew Bucki (Edmond)
Twist maps and Arnold diffusion for diffeomorphisms. (English) Zbl 1407.37099
Bergounioux, Maïtine (ed.) et al., Variational methods. In imaging and geometric control. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 18, 473-495 (2017).
Reviewer: William J. Satzer Jr. (St. Paul)
The Hofer norm of a contactomorphism. (English) Zbl 1391.53090
Reviewer: Mihail Banaru (Smolensk)
On non-contractible periodic orbits of symplectomorphisms. (English) Zbl 1390.37104
Reviewer: Boris S. Kruglikov (Tromsø)
The number of Hamiltonian fixed points on symplectically aspherical manifolds. (English) Zbl 1380.53092
Akbulut, Selman (ed.) et al., Proceedings of the 23rd Gökova geometry-topology conference, Gökova, Turkey, May 30 – June 3, 2016. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT) (ISBN 978-1-57146-340-1/pbk). 138-150 (2017).
Reviewer: Ahmed Lesfari (El Jadida)
Abundance of fast growth of the number of periodic points in two-dimensional area-preserving dynamics. (English) Zbl 1380.37046
Reviewer: William J. Satzer Jr. (St. Paul)
The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). With a forword by Basil Hiley. 2nd edition. (English) Zbl 1358.70001
Hackensack, NJ: World Scientific (ISBN 978-981-3200-96-8/hbk; 978-981-3200-98-2/ebook). xxv, 396 p. (2017).
Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics. (Orbites coadjointes des difféomorphismes symplectiques des surfaces et hydrodynamique idéale.) (English. French summary) Zbl 1372.37106
Reviewer: Marco Modugno (Firenze)
Symplectic nonsqueezing in Hilbert space and discrete Schrödinger equations. (English) Zbl 1361.32033
Reviewer: Nicolai K. Smolentsev (Kemerovo)
On the existence of a Hofer type metric for Poisson manifolds. (English) Zbl 1364.53080
Reviewer: Marco Zambon (Madrid)
The coadjoint operator, conjugate points, and the stability of ideal fluids. (English) Zbl 1350.35149
Reviewer: Valery V. Karachik (Chelyabinsk)
Categorification of Seidel’s representation. (English) Zbl 1344.53072
Reviewer: Simona Druta-Romaniuc (Iaşi)
Fredholm properties of the \(L^2\) exponential map on the symplectomorphism group. (English) Zbl 1386.35318
Reviewer: Jiang Xue (Beijing)
A class of new bi-invariant metrics on the Hamiltonian diffeomorphism groups. (English) Zbl 1357.53098
Conjugate points on the symplectomorphism group. (English) Zbl 1329.35228
Reviewer: Cheng He (Beijing)
Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach. (English) Zbl 1321.35197
New energy-capacity-type inequalities and uniqueness of continuous Hamiltonians. (English) Zbl 1320.53108
MSC:
53D40
37J05
Towards the \(C^{0}\) flux conjecture. (English) Zbl 1306.57018
Reviewer: Andrew Bucki (Edmond)
MSC:
57R17
Hofer geometry and cotangent fibers. (English) Zbl 1315.53031
Reviewer: Robert A. Wolak (Kraków)
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups. (English) Zbl 1305.58008
J. Math. Sci., New York 196, No. 2, 144-151 (2014) and Zap. Nauchn. Sem. POMI 411, 49-62 (2013).
Reviewer: Nicolai K. Smolentsev (Kemerovo)
Topological contact dynamics. II: Topological automorphisms, contact homeomorphisms, and non-smooth contact dynamical systems. (English) Zbl 1298.53076
The action homomorphism, quasimorphisms and moment maps on the space of compatible almost complex structures. (English) Zbl 1294.53074
Reviewer: Simona Druta-Romaniuc (Iaşi)
Action-index relations for perfect Hamiltonian diffeomorphisms. (English) Zbl 1285.53078
MSC:
53D40
37J10
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. (English. Russian original) Zbl 1280.58005
Izv. Math. 77, No. 3, 541-570 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 3, 109-138 (2013).
Reviewer: Hamid Reza Salimi Moghaddam (Isfahan)
How large is the shadow of a symplectic ball? (English) Zbl 1268.37074
Reviewer: Vincent Humiliere (Paris)
Hofer’s metrics and boundary depth. (Métriques de Hofer et profondeur de bord.) (English. French summary) Zbl 1271.53076
Reviewer: Manuel de León (Madrid)
Analytic integrable systems: analytic normalization and embedding flows. (English) Zbl 1335.34072
Reviewer: Angel Zhivkov (Sofia)
Pseudo-distances on symplectomorphism groups and applications to flux theory. (English) Zbl 1254.53106
The Conley conjecture for irrational symplectic manifolds. (English) Zbl 1275.37026
Reviewer: Christian Günther (Libby)
On a two-component \(\pi \)-Camassa-Holm system. (English) Zbl 1248.37068
Reviewer: Oleg Dementiev (Chelyabinsk)
Euler equations on a semi-direct product of the diffeomorphisms group by itself. (English) Zbl 1277.37101
On the uniqueness of Hofer’s geometry. (English) Zbl 1256.53048
Reviewer: Akira Asada (Takarazuka)
On quasi-morphisms from knot and braid invariants. (English) Zbl 1238.57008
Reviewer: Dieter Erle (Dortmund)
A cocycle on the group of symplectic diffeomorphisms. (English) Zbl 1236.57047
Reviewer: Mihai Damian (Strasbourg)
The Conley conjecture. (English) Zbl 1228.53098
Reviewer: Bijan Sahamie (München)
Coisotropic submanifolds, leaf-wise fixed points, and presymplectic embeddings. (English) Zbl 1208.57011
Reviewer: Gheorghe Pitiş (Braşov)
Euler-Poincaré flows on the loop Bott-Virasoro group and space of tensor densities and (2 + 1)-dimensional integrable systems. (English) Zbl 1243.37055
Reviewer: David Brander (Kongens Lyngby)
Fredholm properties of Riemannian exponential maps on diffeomorphism groups. (English) Zbl 1183.58006
Reviewer: Hiroaki Shimomura (Tokyo)
Some geometric investigations on the Degasperis-Procesi shallow water equation. (English) Zbl 1231.76044
Positive Legendrian regular homotopies. (English) Zbl 1187.53080
Abreu, Miguel (ed.) et al., New perspectives and challenges in symplectic field theory. Dedicated to Yakov Eliashberg on the occasion of his 60th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4356-7/pbk). CRM Proceedings and Lecture Notes 49, 299-305 (2009).
Reviewer: Mihail Banaru (Smolensk)
Herman’s last geometric theorem. (English) Zbl 1175.37062
Reviewer: Xiaoping Yuan (Shanghai)
The geometric structure of complex fluids. (English) Zbl 1161.37052
Reviewer: Dimitar A. Kolev (Sofia)
An example of convex Hamiltonian diffeomorphism where asymptotic distance from identity is strictly greater than the minimal action. (English) Zbl 1158.37023
Reviewer: William J. Satzer jun. (St. Paul)
MSC:
37J50
Reconstruction theorems for two remarkable groups of diffeomorphisms. (English) Zbl 1183.57025
Kubarski, Jan (ed.) et al., Special issue: Proceedings of the 8th conference on geometry and topology of manifolds (Lie algebroids, dynamical systems and applications), Luxembourg-Poland-Ukraine conference, Przemyśl, Poland, L’viv, Ukraine, April 30–May 6, 2007. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication (ISBN 978-2-87971-025-9/pbk). Travaux Mathématiques 18, 77-86 (2008).
Reviewer: Gheorghe Pitiş (Braşov)
MSC:
57S05
The WKB method for conjugate points in the volumorphism group. (English) Zbl 1167.37035
Reviewer: Boris V. Loginov (Ul’yanovsk)
Geodesic flow in extended Bott-Virasoro group and generalized two-component Peakon type dual systems. (English) Zbl 1157.35483
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. (English) Zbl 1156.35082
Reviewer: Titus Petrila (Cluj-Napoca)
Symplectic fixed points and Lagrangian intersections on weighted projective spaces. (English) Zbl 1171.37012
Reviewer: Constantin Udrişte (Bucureşti)
The group of Hamiltonian homeomorphisms and \(C^0\)-symplectic topology. (English) Zbl 1144.37033
Reviewer: Hiroaki Shimomura (Tokyo)
Coisotropic intersections. (English) Zbl 1129.53062
Reviewer: Mircea Craioveanu (Timişoara)
Hamiltonian dynamics on convex symplectic manifolds. (English) Zbl 1126.53056
Reviewer: Iskander A. Taimanov (Novosibirsk)
Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps. (English) Zbl 1132.37023
Reviewer: Vasile Marinca (Timişoara)
Differential geometry on diffeomorphism groups and Lagrangian stability of viscous flows. (English) Zbl 1160.37030
Reviewer: Yuri E. Gliklikh (Voronezh)
Diffeomorphism-invariant covariant Hamiltonians of a linear frame and a linear connection. (English) Zbl 1141.58010
Reviewer: Hiroaki Shimomura (Tokyo)
Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach. (English) Zbl 1221.58006
Bove, Antonio (ed.) et al., Phase space analysis of partial differential equations. Basel: Birkhäuser (ISBN 978-0-8176-4511-3/hbk; 978-0-8176-4521-2/ebook). Progress in Nonlinear Differential Equations and Their Applications 69, 133-215 (2006).
Reviewer: L. Del Riego (San Luis Potosí)
Flux conjecture on symplectic submanifolds. (English) Zbl 1099.53056
Mladenov, Ivaïlo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2–10, 2005. Sofia: Bulgarian Academy of Sciences (ISBN 954-8495-30-9/pbk). 89-97 (2006).
Reviewer: Akira Asada (Takarazuka)
Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group. (English) Zbl 1113.53054
Reviewer: Iskander A. Taimanov (Novosibirsk)
Comparison of Poisson structures and Poisson-Lie dynamical \(r\)-matrices. (English) Zbl 1092.53057
Reviewer: Mircea Puta (Timişoara)
Nonpositive curvature on the area-preserving diffeomorphism group. (English) Zbl 1073.37087
Reviewer: Mircea Puta (Timişoara)
Topological Fluid Dynamics. (English) Zbl 1078.37048
On bifurcations of birth of closed invariant curves in the case of two-dimensional diffeomorphisms with homoclinic tangencies. (English. Russian original) Zbl 1079.37046
Dynamical systems and related problems of geometry. Collected papers dedicated to the memory of Academician Andrei Andreevich Bolibrukh. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. Proceedings of the Steklov Institute of Mathematics 244, 80-105 (2004); translation from Tr. Mat. Inst. Steklova 244, 87-114 (2004).
Reviewer: Ale Jan Homburg (Amsterdam)
The flow completion of the Burgers equation. (English) Zbl 1062.37100
Wurzbacher, Tilmann (ed.), Infinite dimensional groups and manifolds. Based on the 70th meeting of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May 2004. Berlin: de Gruyter (ISBN 3-11-018186-X/pbk). IRMA Lectures in Mathematics and Theoretical Physics 5, 17-26 (2004).
Lagrangian spheres in \(S^2\times S^2\). (English) Zbl 1066.53129
Reviewer: Mircea Craioveanu (Timişoara)
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