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Volumn 8, Issue 3, 2001, Pages 325-341

Volume preserving multidimensional integrable systems and nambu–poisson geometry

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EID: 0035634280     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2001.8.3.2     Document Type: Article
Times cited : (13)

References (24)
  • 1
    • 0031537565 scopus 로고    scopus 로고
    • Volume Preserving Integrable Systems and Nambu–Poisson Manifolds
    • Guha, P. 1997. Volume Preserving Integrable Systems and Nambu–Poisson Manifolds. Class. Quant. Gravity, 14:L37–L43.
    • (1997) Class. Quant. Gravity , vol.14 , pp. L37-L43
    • Guha, P.1
  • 2
    • 0039611206 scopus 로고
    • Volume Preserving Diffeomorphisms in Integrable Deformation of Self-Dual Gravity
    • Takasaki, K. 1992. Volume Preserving Diffeomorphisms in Integrable Deformation of Self-Dual Gravity. Phys. Lett., B285:187–190.
    • (1992) Phys. Lett. , vol.B285 , pp. 187-190
    • Takasaki, K.1
  • 3
    • 35949035760 scopus 로고
    • Generalized Hamiltonian Dynamics
    • Nambu, Y. 1973. Generalized Hamiltonian Dynamics. Phys. Rev., D7:2405
    • (1973) Phys. Rev. , vol.D7 , pp. 2405
    • Nambu, Y.1
  • 4
    • 21344477372 scopus 로고
    • On Foundation of the Generalized Nambu Mechanics
    • Takhtajan, L A. 1994. On Foundation of the Generalized Nambu Mechanics. Comm. Math. Phys., 160:295
    • (1994) Comm. Math. Phys. , vol.160 , pp. 295
    • Takhtajan, L.A.1
  • 5
    • 0002055887 scopus 로고    scopus 로고
    • Aspects of Classical and Quantum Nambu Mechanics
    • Chatterjee, R, and Takhtajan, L A. 1996. Aspects of Classical and Quantum Nambu Mechanics. Lett. Math. Phys., 37:475
    • (1996) Lett. Math. Phys. , vol.37 , pp. 475
    • Chatterjee, R.1    Takhtajan, L.A.2
  • 7
    • 85024019890 scopus 로고    scopus 로고
    • Integrable Hierarchies and Dispersionless Limits, preprint, UTMS 94-35
    • Takasaki K, Takebe T, Integrable Hierarchies and Dispersionless Limits, preprint, UTMS 94-35
    • Takasaki, K.1    Takebe, T.2
  • 8
    • 85023975261 scopus 로고    scopus 로고
    • A Note on n-ary Poisson Brackets, in Proceedings of the 19th Winter School “Geometry and Physics” (Srnm, 1999), Rend. Circ. Mat. Palermo (2) Suppl., N 63 (2000), 165–172
    • Michor P W, Vaisman I, A Note on n-ary Poisson Brackets, in Proceedings of the 19th Winter School “Geometry and Physics” (Srnm, 1999), Rend. Circ. Mat. Palermo (2) Suppl., N 63 (2000), 165–172
    • Michor, P.W.1    Vaisman, I.2
  • 9
    • 0039756622 scopus 로고    scopus 로고
    • Leibniz Algebroid Associated with a Nambu–Poisson Structure
    • Ibanez, R, de Leon, M, Marrero, J C, and Padron, E. 1999. Leibniz Algebroid Associated with a Nambu–Poisson Structure. J. Phys., A32:8129–8144.
    • (1999) J. Phys. , vol.A32 , pp. 8129-8144
    • Ibanez, R.1    de Leon, M.2    Marrero, J.C.3    Padron, E.4
  • 11
    • 0032041927 scopus 로고    scopus 로고
    • The Local Structure of n-Poisson and n-Jacobi Manifolds
    • Marmo, G, Vilasi, G., and Vinogradov, A M. 1998. The Local Structure of n-Poisson and n-Jacobi Manifolds. J. Geom. Phys., 25:141
    • (1998) J. Geom. Phys. , vol.25 , pp. 141
    • Marmo, G.1    Vilasi, G.2    Vinogradov, A.M.3
  • 12
    • 0000833173 scopus 로고    scopus 로고
    • A Survey on Nambu–Poisson Brackets
    • Vaisman, I. 1999. A Survey on Nambu–Poisson Brackets. Acta Math. Univ. Comenian. (N.S.), 68:213–241.
    • (1999) Acta Math. Univ. Comenian. (N.S.) , vol.68 , pp. 213-241
    • Vaisman, I.1
  • 13
    • 0025415204 scopus 로고
    • Stabilization of Rigid Body Dynamics by the Energy–Casimir Method
    • Bloch, A M, and Marsden, J E. 1990. Stabilization of Rigid Body Dynamics by the Energy–Casimir Method. Systems and Control Letters, 14:341
    • (1990) Systems and Control Letters , vol.14 , pp. 341
    • Bloch, A.M.1    Marsden, J.E.2
  • 15
    • 85024009062 scopus 로고    scopus 로고
    • The System of Three Vortexes of Two Dimensional Ideal Hydrodinamics as a New Example of the (Integrable) Nambu–Poisson Mechanics, solv-int/9804002
    • Makhaldiani, The System of Three Vortexes of Two Dimensional Ideal Hydrodinamics as a New Example of the (Integrable) Nambu–Poisson Mechanics, solv-int/9804002
    • Makhaldiani, H.1
  • 16
    • 85024013961 scopus 로고    scopus 로고
    • preparation
    • Guha P, in preparation
    • Guha, P.1
  • 17
    • 0347878741 scopus 로고
    • Nonlinear Gravitons and Curved Twistor Theory
    • Penrose, R P. 1976. Nonlinear Gravitons and Curved Twistor Theory. Gen. Rel. Grav., 31:7
    • (1976) Gen. Rel. Grav. , vol.31 , pp. 7
    • Penrose, R.P.1
  • 18
    • 0001670568 scopus 로고
    • The Nonlinear Graviton in Interaction with Photon
    • Flaherty, E J. 1978. The Nonlinear Graviton in Interaction with Photon. Gen. Rel. Grav., 9:961
    • (1978) Gen. Rel. Grav. , vol.9 , pp. 961
    • Flaherty, E.J.1
  • 19
    • 85024074537 scopus 로고    scopus 로고
    • Generalized Conformal Structures, in Twistors in Mathematics and Physics, Editors: Bailey T N and Baston R J LMS Lecture Note Series, CUP - Cambridge, 156, 1990
    • Gindikin S G, Generalized Conformal Structures, in Twistors in Mathematics and Physics, Editors:Bailey T N and Baston R J LMS Lecture Note Series, CUP - Cambridge, 156, 1990
    • Gindikin, S.G.1
  • 20
    • 85023963613 scopus 로고    scopus 로고
    • On M-Algebras, the Quantization of Nambu-Mechanics and Volume Preserving Diffeomorphisms, hep-th 9602020 ETH-TH/95-33
    • Hoppe J, On M-Algebras, the Quantization of Nambu-Mechanics and Volume Preserving Diffeomorphisms, hep-th 9602020 ETH-TH/95-33
    • Hoppe, J.1
  • 21
    • 33744769996 scopus 로고
    • Deformation Theory and Quantization: I. Deformations of Symplectic Structures
    • Bayen, F, Flato, M, Fronsdal, C, Lichnerowicz, A, and Sternheimer, D. 1978. Deformation Theory and Quantization:I. Deformations of Symplectic Structures. Ann. Phys., 110:67
    • (1978) Ann. Phys. , vol.110 , pp. 67
    • Bayen, F.1    Flato, M.2    Fronsdal, C.3    Lichnerowicz, A.4    Sternheimer, D.5
  • 22
    • 85023980040 scopus 로고    scopus 로고
    • Deformation Quantization of Poisson Manifolds, Preprint IHES/M/97/72, q-alg/9709040
    • Kontsevich M, Deformation Quantization of Poisson Manifolds, Preprint IHES/M/97/72, q-alg/9709040
    • Kontsevich, M.1
  • 23
    • 0031065890 scopus 로고    scopus 로고
    • A Geometry for Multidimensional Integrable Systems
    • Strachan, I A B. 1997. A Geometry for Multidimensional Integrable Systems. J. Geom. Phys., 21:255
    • (1997) J. Geom. Phys. , vol.21 , pp. 255
    • Strachan, I.A.B.1


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