메뉴 건너뛰기




Volumn 157, Issue 2, 2003, Pages 575-620

Integrability of Lie brackets

Author keywords

Lie algebroid; Lie groupoid

Indexed keywords


EID: 0038784426     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2003.157.575     Document Type: Article
Times cited : (392)

References (28)
  • 1
    • 51249167482 scopus 로고
    • Intégration symplectique des variétés de Poisson régulières
    • F. ALCADE-CUESTA and G. HECTOR, Intégration symplectique des variétés de Poisson régulières, Israel J. Math. 90 (1995), 125-165.
    • (1995) Israel J. Math. , vol.90 , pp. 125-165
    • Alcade-Cuesta, F.1    Hector, G.2
  • 2
    • 0002996252 scopus 로고
    • Suites d'atiyah et feuilletages transversalement complets
    • R. ALMEIDA and P. MOLINO, Suites d'Atiyah et feuilletages transversalement complets, C. R. Acad. Sci. Paris Sér. I Math. 300 (1985), 13-15.
    • (1985) C. R. Acad. Sci. Paris Sér. I Math. , vol.300 , pp. 13-15
    • Almeida, R.1    Molino, P.2
  • 3
    • 0003203316 scopus 로고    scopus 로고
    • Geometric models for noncommutative algebras
    • A. M. S., Providence, RI
    • A. CANNAS DA SILVA and A. WEINSTEIN, Geometric Models for Noncommutative Algebras, Berkeley Math. Lectures, 10, A. M. S., Providence, RI, 1999.
    • (1999) Berkeley Math. Lectures , vol.10
    • Cannas da Silva, A.1    Weinstein, A.2
  • 4
    • 0037909707 scopus 로고    scopus 로고
    • Poisson sigma models and symplectic groupoids
    • Quantization of Singular Symplectic Quotients (N. P. Landsman, M. Pflaum, and M. Schlichenmeier, eds.)
    • A. S. CATTANEO and G. FELDER, Poisson sigma models and symplectic groupoids, in Quantization of Singular Symplectic Quotients (N. P. Landsman, M. Pflaum, and M. Schlichenmeier, eds.), Progr. in Math. 198 (2001), 41-73.
    • (2001) Progr. in Math , vol.198 , pp. 41-73
    • Cattaneo, A.S.1    Felder, G.2
  • 5
    • 85039691039 scopus 로고    scopus 로고
    • Differentiable and algebroid cohomology
    • Van Est isomorphisms, and characteristic classes, preprint math.DG/0008064, to appear
    • M. CRAINIC, Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes, preprint math.DG/0008064, Comment. Math. Helv., to appear.
    • Comment. Math. Helv.
    • Crainic, M.1
  • 8
    • 0039254976 scopus 로고
    • Intégration symplectique des variétés de Poisson totalement asphériques
    • Symplectic Geometry, Groupoids and Integrable Systems (Berkeley, CA)
    • P. DAZORD and G. HECTOR, Intégration symplectique des variétés de Poisson totalement asphériques, in Symplectic Geometry, Groupoids and Integrable Systems (Berkeley, CA, 1989), MSRI Publ. 20 (1991), 37-72.
    • (1989) MSRI Publ , vol.20 , pp. 37-72
    • Dazord, P.1    Hector, G.2
  • 10
    • 0001023880 scopus 로고
    • Espaces fibrés en algèbres de Lie et en groupes
    • A. DOUADY and M. LAZARD, Espaces fibrés en algèbres de Lie et en groupes, Invent. Math. 1 (1966), 133-151.
    • (1966) Invent. Math. , vol.1 , pp. 133-151
    • Douady, A.1    Lazard, M.2
  • 12
    • 0000470538 scopus 로고    scopus 로고
    • Connections in Poisson geometry I. Holonomy and invariants
    • R. L. FERNANDES, Connections in Poisson geometry I. Holonomy and invariants, J. Differential Geom. 54 (2000), 303-365.
    • (2000) J. Differential Geom. , vol.54 , pp. 303-365
    • Fernandes, R.L.1
  • 13
    • 0036748231 scopus 로고    scopus 로고
    • Lie algebroids, holonomy and characteristic classe
    • _, Lie algebroids, holonomy and characteristic classe, Adv. in Math. 170 (2002), 119-179.
    • (2002) Adv. in Math. , vol.170 , pp. 119-179
  • 14
    • 0010922740 scopus 로고    scopus 로고
    • Grothendieck groups of Poisson vector bundles
    • V. GINZBURG, Grothendieck groups of Poisson vector bundles, J. Symplectic Geometry 1 (2001), 121-169.
    • (2001) J. Symplectic Geometry , vol.1 , pp. 121-169
    • Ginzburg, V.1
  • 15
    • 0000855801 scopus 로고
    • Algebraic constructions in the category of Lie algebroids
    • P. J. HIGGINS and K. MACKENZIE, Algebraic constructions in the category of Lie algebroids, J. Algebra 129 (1990), 194-230.
    • (1990) J. Algebra , vol.129 , pp. 194-230
    • Higgins, P.J.1    Mackenzie, K.2
  • 17
    • 0003276054 scopus 로고
    • Lie groupoids and Lie algebroids in differential geometry
    • Cambridge Univ. Press, Cambridge
    • K. MACKENZIE, Lie Groupoids and Lie Algebroids in Differential Geometry, London Math. Soc. Lecture Notes Ser. 124, Cambridge Univ. Press, Cambridge, 1987.
    • (1987) London Math. Soc. Lecture Notes Ser. , vol.124
    • Mackenzie, K.1
  • 18
    • 84911867910 scopus 로고
    • Lie algebroids and Lie pseudoalgebras
    • _, Lie algebroids and Lie pseudoalgebras, Bull. London Math. Soc. 27 (1995), 97-147.
    • (1995) Bull. London Math. Soc. , vol.27 , pp. 97-147
  • 19
    • 0034179182 scopus 로고    scopus 로고
    • Integration of Lie bialgebroids
    • K. MACKENZIE and P. XU, Integration of Lie bialgebroids, Topology 39 (2000), 445-467.
    • (2000) Topology , vol.39 , pp. 445-467
    • Mackenzie, K.1    Xu, P.2
  • 20
    • 0036330754 scopus 로고    scopus 로고
    • On integrability of infinitesimal actions
    • I. MOERDIJK and J. MRǑUN, On integrability of infinitesimal actions, Amer. J. Math. 124 (2002), 567-593.
    • (2002) Amer. J. Math. , vol.124 , pp. 567-593
    • Moerdijk, I.1    Mrǒun, J.2
  • 21
    • 0013479327 scopus 로고
    • Étude des feuilletages transversalement complets et applications
    • P. MOLINO, Étude des feuilletages transversalement complets et applications, Ann. Sci. École Norm. Sup. 10 (1977), 289-307.
    • (1977) Ann. Sci. École Norm. Sup. , vol.10 , pp. 289-307
    • Molino, P.1
  • 22
    • 0034287957 scopus 로고    scopus 로고
    • Groupoids and the integration of Lie algebroids
    • V. NISTOR, Groupoids and the integration of Lie algebroids, J. Math. Soc. Japan 52 (2000), 847-868.
    • (2000) J. Math. Soc. Japan , vol.52 , pp. 847-868
    • Nistor, V.1
  • 23
    • 0002814203 scopus 로고    scopus 로고
    • Pseudodifferential operators on differential groupoids
    • V. NISTOR, A. WEINSTEIN, and P. XU, Pseudodifferential operators on differential groupoids, Pacific J. Math. 189 (1999), 117-152.
    • (1999) Pacific J. Math. , vol.189 , pp. 117-152
    • Nistor, V.1    Weinstein, A.2    Xu, P.3
  • 24
    • 0003279657 scopus 로고
    • A global formulation of the Lie theory of transformation groups
    • Providence, RI
    • R. PALAIS, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc. 22 (1957), Providence, RI.
    • (1957) Mem. Amer. Math. Soc. , vol.22
    • Palais, R.1
  • 25
    • 51649131754 scopus 로고
    • The infinite groups of Lie and Cartan
    • I. M. SINGER and S. STERNBERG, The infinite groups of Lie and Cartan, J. Analyse Math. 15 (1965), 1-114.
    • (1965) J. Analyse Math. , vol.15 , pp. 1-114
    • Singer, I.M.1    Sternberg, S.2
  • 26
    • 84968475624 scopus 로고
    • Orbits of families of vector fields and integrability of distributions
    • H. SUSSMANN, Orbits of families of vector fields and integrability of distributions, Trans. Amer. Math. Soc. 180 (1973), 171-188.
    • (1973) Trans. Amer. Math. Soc. , vol.180 , pp. 171-188
    • Sussmann, H.1
  • 27
    • 84968464920 scopus 로고
    • Symplectic groupoids and Poisson manifolds
    • A. WEINSTEIN, Symplectic groupoids and Poisson manifolds, Bull. Amer. Math. Soc. 16 (1987), 101-104.
    • (1987) Bull. Amer. Math. Soc. , vol.16 , pp. 101-104
    • Weinstein, A.1
  • 28
    • 84968521825 scopus 로고
    • Periods of periodic solutions and the Lipschitz constant
    • J. YORKE, Periods of periodic solutions and the Lipschitz constant, Proc. Amer. Math. Soc. 22 (1969), 509-512.
    • (1969) Proc. Amer. Math. Soc. , vol.22 , pp. 509-512
    • Yorke, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.