Silvia Vilari˜no Fernández NUEVAS APORTACIONES AL ESTUDIO ...

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382 Bibliografía [38] A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy: Multivector fields and connections: Setting Lagrangian equations in field theories, J. Math. Phys. 39 (1998) 4578-4603. [39] A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy: Multivector fields formulation of Hamiltonian field theories: equations and symmetries, J. Phys. A: Math. Gen. 32 (1999) 8461-8484. [40] P.L. García, A. Pérez-Rendón, Symplectic approach to the theory of quantized fields, I. Comm. Math. Phys. 13 (1969) 24-44. [41] P.L. García, A. Pérez-Rendón, Symplectic approach to the theory of quantized fields, II, Arch. Ratio. Mech. Anal. 43 (1971), 101-124. [42] G. Giachetta, L. Mangiarotti, G. Sardanashvily,Covariant Hamilton equations for field theory,. J. Phys. A 32 (1999), 6629-6642. [43] G. Giachetta, L. Mangiarotti, G. Sardanashvily, New Lagrangian and Hamiltonian Methods in Field Theory, World Scientific Pub. Co., Singapore (1997). [44] C. Godbillon, Géométrie Différentielle et Mécanique Analytique, Hermann, Paris, 1969. [45] H. Goldschmidt-S. Sternberg, The Hamilton-Cartan Formalism in the Calculus of Variations, Ann. Inst. Fourier, 23,1 (1973), 203-267. [46] M.J. Gotay, An exterior differential systems approach to the Cartan form. In: Symplectic geometry and mathematical physics (Aix-en-Provence, 1990). Progr. Math., 99, Birkhäuser Boston, Boston, MA, 1991, pp. 160-188. [47] M.J. Gotay, A multisymplectic framework for classical field theory and the calculus of variations, I. Covariant Hamiltonian formalism. In: Mechanics, analysis and geometry: 200 years after Lagrange. North-Holland Delta Ser., North- Holland, Amsterdam, 1991, pp. 203-235. [48] M.J. Gotay, A multisymplectic framework for classical field theory and the calculus of variations, II. Space + time decomposition. Differential Geom. App. 1 (1991), 375-390. [49] M. Gotay, J. Isenberg, J. E. Marsden, Momentum Maps and Classical Relativistic Fields, Part I: Covariant Field Theory, arXiv:physics/9801019v2 (2004). Part II: Canonical analysis of Field Theories, arXiv:mathph/0411032v1 (2004).
Bibliografía 383 [50] M.J. Gotay, J. Isenberg, J.E. Marsden, R. Montgomery, Momentum maps and classical relativistic fields I: Covariant Theory, ar- Xiv:physics/9801019v2 (1999). [51] M. Gotay, J. Isenberg, J. E. Marsden [*1997]Momentum Maps and Classical Relativistic Fields, Part I: Covariant Field Theory (66 pages) (pdf). See also: www.arxiv.org: [2004] physics/9801019 [52] M. Gotay, J. Isenberg, J. E. Marsden [*1999]Momentum Maps and Classical Relativistic Fields, Part II: Canonical nalysis of Field Theories (70 pages). See also www.arxiv.org: [2004] math-ph/0411032 [53] J. Grifone, Structure presque-tangente et connexions, I, Ann. Inst. Fourier 22(1) (1972) 287–334. [54] J. Grifone, Structure presque-tangente et connexions, II Ann. Inst. Fourier 22(3) (1972)291–338. [55] J.Grifone, M. Mehdi, On the geometry of Lagrangian mechanics with nonholonomic constraints, J. Geom. Phys. 30(3) (1999) 187–203. [56] C. Günther: The Polysymplectic Hamiltonian Formalism in Field Theory and Calculus of Variations I: The Local Case, J. Differential Geometry, 25 (1987) 23-53. [57] P.J. Higgins, K. Mackenzie,Algebraic constructions in the category of Lie algebroids, J. of Algebra 129 (1990) 194-230. [58] N. Ikeda, Two dimensional gravity and nonlinear gauge theory, Ann. Phys., 235. (1994) 435-464. [59] I. V. Kanatchikov: Canonical structure of classical field theory in the polymomentum phase space, Rep. Math. Phys. 41(1) (1998) 49–90. [60] J. Kijowski, A finite-dimensional canonical formalism in the classical field theory, Comm. Math. Phys. 30 (1973), 99-128. [61] J. Kijowski, W. Szczyrba, Multisymplectic manifolds and the geometrical construction of the Poisson brackets in the classical field theory, Géométrie symplectique et physique mathématique (Colloq. International C.N.R.S., Aixen-Provence, 1974) (1974) 347-349.
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Silvia Vilariño Fernández NUEVAS
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A mi familia
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Índice general Agradecimientos VII
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4.1. La sucesión exacta corta cons
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7.2.1. Estructura k-cosimpléctica.
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y k-cosimpléctico, de modo que los
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Capítulo 6: Formulación k-cosimpl
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Capítulo 1 Formulación k-simpléc
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1.1.1 Fundamentos geométricos. 5 E
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1.1.1 Fundamentos geométricos. 7 (
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1.1.1 Fundamentos geométricos. 9 D
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1.1.2 Campos de k-vectores y seccio
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1.1.3 Formalismo hamiltoniano. Ecua
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1.2 El enfoque lagrangiano. 21 Teni
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1.2.1 Elementos geométricos. 23 El
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1.2.1 Elementos geométricos. 25 Ob
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1.2.1 Elementos geométricos. 27 De
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1.2.3 Campos de k-vectores y sopde
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1.2.3 Campos de k-vectores y sopde
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1.2.4 Formalismo lagrangiano. Ecuac
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1.3 Equivalencia entre las formulac
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44 2 Simetrías y Leyes de conserva
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Capítulo 3 Teoría de Campos con l
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3.1.2 El fibrado de las formas de l
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3.1.4 Las ecuaciones de campo no-ho
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3.2 El proyector no-holonómico. 87
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3.2 El proyector no-holonómico. 89
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3.3 La ecuación momento no-holonó
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3.4.1 “Cosserat rods”(Barra Cos
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3.4.1 “Cosserat rods”(Barra Cos
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3.4.3 Ligaduras lineales. 101 Si la
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3.4.3 Ligaduras lineales. 103 donde
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3.4.3 Ligaduras lineales. 105 Demos
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3.4.4 Ligaduras definidas por conex
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3.5 Teoría hamiltoniana k-simpléc
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3.5 Teoría hamiltoniana k-simpléc
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114 4 Relación entre conexiones no
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144 5 Formulación k-simpléctica e
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Capítulo 6 Formulación k-cosimpl
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6.1.1 Fundamentos geométricos. 225
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6.1.1 Fundamentos geométricos. 227
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6.2.1 Elementos geométricos. 241 f
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6.2.1 Elementos geométricos. 243 p
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6.2.1 Elementos geométricos. 245 d
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6.2.2 Ecuaciones en derivadas parci
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6.2.2 Ecuaciones en derivadas parci
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6.2.3 Formalismo lagrangiano: ecuac
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6.3 Equivalencia entre la formulaci
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266 7 Formalismo k-cosimpléctico y
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308 8 Formalismo k-cosimpléctico e
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Page 377 and 378: Por otra parte, puesto que Φ es un
Page 379 and 380: A continuación multiplicamos la ex
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Page 389 and 390: Apéndice C Índice de símbolos En
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Page 395 and 396: Conclusiones. El punto de partida d
Page 397 and 398: Bibliografía [1] R. Abraham-J. E.
Page 399: Bibliografía 381 [25] J. Cortés,
Page 403 and 404: Bibliografía 385 [75] M. de León,
Page 405 and 406: Bibliografía 387 [100] E. Martíne
Page 407 and 408: Bibliografía 389 [124] D. J. Saund
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Silvia Vilari˜no Fernández NUEVAS APORTACIONES AL ESTUDIO ...

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