@article{ASENS_1981_4_14_4_465_0, author = {Dazord, Pierre}, title = {Sur la g\'eom\'etrie des sous-fibr\'es et des feuilletages lagrangiens}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {465--480}, publisher = {Elsevier}, volume = {4e s{\'e}rie, 14}, number = {4}, year = {1981}, doi = {10.24033/asens.1416}, mrnumber = {83g:53034}, zbl = {0491.58015}, language = {fr}, url = {https://www.numdam.org/articles/10.24033/asens.1416/} }
TY - JOUR AU - Dazord, Pierre TI - Sur la géométrie des sous-fibrés et des feuilletages lagrangiens JO - Annales scientifiques de l'École Normale Supérieure PY - 1981 SP - 465 EP - 480 VL - 14 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.24033/asens.1416/ DO - 10.24033/asens.1416 LA - fr ID - ASENS_1981_4_14_4_465_0 ER -
%0 Journal Article %A Dazord, Pierre %T Sur la géométrie des sous-fibrés et des feuilletages lagrangiens %J Annales scientifiques de l'École Normale Supérieure %D 1981 %P 465-480 %V 14 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.24033/asens.1416/ %R 10.24033/asens.1416 %G fr %F ASENS_1981_4_14_4_465_0
Dazord, Pierre. Sur la géométrie des sous-fibrés et des feuilletages lagrangiens. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 14 (1981) no. 4, pp. 465-480. doi : 10.24033/asens.1416. https://www.numdam.org/articles/10.24033/asens.1416/
[1] Une classe caractéristique intervenant dans les conditions de quantification (en français dans Maslov). Théorie des perturbations et méthodes asymptotiques, Dunod-Gauthier-Villars, Paris, 1972, p. 341-361.
,[2] Problèmes ergodiques de la mécanique classique, Gauthier-Villars, Paris, 1967. | MR | Zbl
et ,[3] On a Topological Obstruction to Integrability (Proc. Symp. in Pure Math. A.M.S., vol. 16, 1970, p. 127-131). | MR | Zbl
,[4] Une interprétation géométrique de la classe de Maslov (J. Math. Pures et Appl., vol. 56, 1977, p. 231-250; (b) Invariants homotopiques attachés aux fibrés symplectiques (Ann. Inst. Fourier, Grenoble, vol. 29, n° 2, 1979, p. 25-78; (c) Variations sur la classe de Maslov-Arnold [Journées P. de Fermat, Toulouse, 1981 (à paraître)]. | MR
, (a)[5] A Lagrangian Klein Bottle (Math. Proc. Cam. Phil. Soc., 1980, p. 89-193). | MR | Zbl
et ,[6] Foundations of Differential Geometry (Interscience, 1969). | MR
et ,[7] Analyse lagrangienne et Mécanique quantique, Collège de France, 1977. | Numdam | MR
,[8] Sur le problème d'équivalence de certaines structures infinitésimales (Thèse, Strasbourg, 1953).
,[9] Théorie Globale des Connexions et de groupes d'holonomie, Cremonese, 1955. | Zbl
,[10] Classe de Maslov d'une immersion lagrangienne [C. R. Acad. Sc., Paris (à paraître)].
,[11] Lecture on Symplectic Manifolds, Conference board of mathematical science (Regional Conference Series in Mathematics n° 29, A.M.S., 1977). | MR | Zbl
,[12] Spaces of Constant Curvature, MacGraw Hill, 1967. | MR | Zbl
,[13] Antiinvariant Submanifolds (Lecture Notes in Pure and Appl. Math., vol. 21, Marcel Dekker, 1976). | MR | Zbl
et ,- Area Variations Under Legendrian Constraint, Peking Mathematical Journal (2025) | DOI:10.1007/s42543-024-00090-y
- A variational construction of Hamiltonian stationary surfaces with isolated Schoen–Wolfson conical singularities, Communications on Pure and Applied Mathematics, Volume 77 (2024) no. 12, p. 4390 | DOI:10.1002/cpa.22220
- On Energy Gap Phenomena of the Whitney Spheres in ℂn or ℂℙn, Chinese Annals of Mathematics, Series B, Volume 44 (2023) no. 4, p. 599 | DOI:10.1007/s11401-023-0034-9
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- On energy gap phenomena of the Whitney sphere and related problems, Pacific Journal of Mathematics, Volume 320 (2022) no. 2, p. 299 | DOI:10.2140/pjm.2022.320.299
- Regularity of Critical Points of the Volume Functional for Lagrangian Submanifolds, The Journal of Geometric Analysis, Volume 32 (2022) no. 12 | DOI:10.1007/s12220-022-01041-8
- Polarized Poisson structures, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Volume 62 (2021) no. 4, p. 799 | DOI:10.1007/s13366-020-00540-5
- f-Minimal Lagrangian Submanifolds in Kähler Manifolds with Real Holomorphy Potentials, International Mathematics Research Notices, Volume 2021 (2021) no. 4, p. 2539 | DOI:10.1093/imrn/rnz198
- Maslov, Chern–Weil and mean curvature, Journal of Geometry and Physics, Volume 135 (2019), p. 129 | DOI:10.1016/j.geomphys.2018.09.009
- The space of compact self-shrinking solutions to the Lagrangian mean curvature flow in ℂ2ℂ^2, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2018 (2018) no. 743, p. 229 | DOI:10.1515/crelle-2015-0110
- Hamiltonian stationary cones with isotropic links, Pacific Journal of Mathematics, Volume 295 (2018) no. 2, p. 317 | DOI:10.2140/pjm.2018.295.317
- Infinitesimal affine automorphisms of symplectic connections, Journal of Geometry and Physics, Volume 106 (2016), p. 210 | DOI:10.1016/j.geomphys.2016.03.029
- On the Hamiltonian Minimality of Normal Bundles, Real and Complex Submanifolds, Volume 106 (2014), p. 485 | DOI:10.1007/978-4-431-55215-4_43
- On the HSL-flow, Calculus of Variations and Partial Differential Equations, Volume 46 (2013) no. 1-2, p. 311 | DOI:10.1007/s00526-011-0483-y
- Generalized Lagrangian mean curvature flow in Kähler manifolds that are almost Einstein, Complex and Differential Geometry, Volume 8 (2011), p. 65 | DOI:10.1007/978-3-642-20300-8_3
- The classification of Hamiltonian stationary Lagrangian tori in
by their spectral data, Manuscripta Mathematica, Volume 135 (2011) no. 3-4, p. 437 | DOI:10.1007/s00229-010-0425-6 - On Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres, Mathematische Zeitschrift, Volume 261 (2009) no. 4, p. 749 | DOI:10.1007/s00209-008-0350-5
- Lagrangian spheres in the 2-dimensional complex space forms, Israel Journal of Mathematics, Volume 166 (2008) no. 1, p. 113 | DOI:10.1007/s11856-008-1022-1
- SOME RESULTS ON GENERALIZED CALABI–YAU MANIFOLDS, International Journal of Geometric Methods in Modern Physics, Volume 03 (2006) no. 05n06, p. 1273 | DOI:10.1142/s0219887806001508
- Spinc geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian submanifolds, Mathematische Zeitschrift, Volume 253 (2006) no. 4, p. 821 | DOI:10.1007/s00209-006-0936-8
- Integral formula of Maslov index and its applications, Japanese journal of mathematics. New series, Volume 30 (2004) no. 2, p. 413 | DOI:10.4099/math1924.30.413
- Hamiltonian stability of certain minimal Lagrangian submanifolds in complex projective spaces, Tohoku Mathematical Journal, Volume 55 (2003) no. 4 | DOI:10.2748/tmj/1113247132
- Integral Representations over Isotropic Submanifolds and Equations of Zero Curvature, Advances in Mathematics, Volume 135 (1998) no. 2, p. 220 | DOI:10.1006/aima.1997.1703
- Holonomie, suspensions et classifications pour les feuilletages lagrangiens, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 326 (1998) no. 11, p. 1317 | DOI:10.1016/s0764-4442(98)80186-9
- Un exemple de classification de germes de feuilletages Lagrangiens au voisinage d'une feuille compacte, Indagationes Mathematicae, Volume 9 (1998) no. 2, p. 197 | DOI:10.1016/s0019-3577(98)80018-9
- Minimal Lagrangian diffeomorphisms and the Monge-Ampère equation, Journal of Differential Geometry, Volume 46 (1997) no. 2 | DOI:10.4310/jdg/1214459935
- Symplectic curvature and the arnold form over and isotropic submanifold, Journal of Mathematical Sciences, Volume 82 (1996) no. 6, p. 3789 | DOI:10.1007/bf02362638
- Mean curvature vector and symplectic topology of Lagrangian submanifolds in Einstein-Kähler manifolds, Mathematische Zeitschrift, Volume 216 (1994) no. 1, p. 471 | DOI:10.1007/bf02572335
- Linear Connections for Hamiltonian Dynamics over Isotropic Submanifold, Seminar on Dynamical Systems (1994), p. 235 | DOI:10.1007/978-3-0348-7515-8_18
- La Première Classe de Chern Comme Obstruction à la Quantification Asymptotique, Symplectic Geometry, Groupoids, and Integrable Systems, Volume 20 (1991), p. 73 | DOI:10.1007/978-1-4613-9719-9_5
- Le Probleme General des Variables Actions-Angles, Journal of Differential Geometry, Volume 26 (1987) no. 2 | DOI:10.4310/jdg/1214441368
- The Maslov class of some Legendre submanifolds, Journal of Geometry and Physics, Volume 3 (1986) no. 3, p. 289 | DOI:10.1016/0393-0440(86)90010-0
- Erratum: ”Sur la géométrie des sous-fibrés et des feuilletages lagrangiens”, Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, Volume 18 (1985), p. 685 | DOI:10.24033/asens.1501 | Zbl:0596.58020
- Connexions singulieres et classe de Maslov, Differential Geometry, Volume 1045 (1984), p. 71 | DOI:10.1007/bfb0072167
- Variations sur la classe de Maslov-Arnold, Symplectic geometry, Res. Notes Math. 80, 38-44, 1983 | Zbl:0516.53041
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