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La Rivista del Nuovo Cimento (1978-1999)

, Volume 5, Issue 4, pp 1–121 | Cite as

Gauge geometrodynamics

  • A. Prastaro
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References

  1. [1]
    A. Prastaro:On the general structure of continuum physics. - I:Derivative spaces, Boll. Unione Mat. Ital.,17-B, 704 (1980); II:Differential operators, Boll. Unionc Mat. Ital. Suppl.,1, 69 (1981);III:The physical picture, Boll. Unione Mat. Ital. Suppl.,1, 107 (1981).MathSciNetGoogle Scholar
  2. [2]
    A. Prastaro:Stochastica,3, 15 (1979).MathSciNetMATHGoogle Scholar
  3. [3]
    A. Prastaro: Geometrodynamicsof nonrelativistic continuous media. — I:Spacetime structures (to appear) ;Geometrodynamies of nonrelativistic continuous media. - II:Dynamic and constitutive structures (to appear).Google Scholar
  4. [4]
    P. J. Hilton andU. Stammbach:A Course in Homological Algebra (Berlin, 1971).Google Scholar
  5. [5]
    D. G. Northcott:An Introduction to Homological Algebra (Cambridge, 1962).Google Scholar
  6. [6]
    P. M. Quan:Introduction a la géométrie differentielle (Paris, 1968).Google Scholar
  7. [7]
    S. Lakg:Introduction to Differentiable Manifolds (New York, N. Y., 1972).Google Scholar
  8. [8]
    R. M. Switzer:Algebraic Topology. Homotopy and Homology (Berlin, 1975).Google Scholar
  9. [9]
    I. Vaisman:Cohomology and Differential Forms (New York, N. Y., 1973).Google Scholar
  10. [10]
    S. Kobayashi andK. Nomizu:Foundations of Differential Geometry, Vol. (New York, N. Y., 1963);Foundations of Differential Geometry, Vol. II (New York, N. Y., 1969).Google Scholar
  11. [11]
    A. Trautman:Rep. Math. Phys.,1, 29 (1970).MathSciNetADSCrossRefMATHGoogle Scholar
  12. [12]
    W. Drechsler andM. E. Mayer:Fiber bundle techniques in gauye theories, inLecture Notes in Physics, Vol.67 (Berlin, 1977).Google Scholar
  13. [13]
    R. G. Yates:Commun. Math. Phys.,76, 255 (1980).MathSciNetADSCrossRefMATHGoogle Scholar
  14. [14]
    S. P. Salvioli:J. Differ. Geom.,7, 257 (1972).MathSciNetMATHGoogle Scholar
  15. [15]
    A. Prastaro:Boll. Unione Mat. Ital.,1-B, 1015 (1982).MathSciNetGoogle Scholar
  16. [16]
    J. F. Pommaret:Ann. Inst. Henri Poincaré λ,18, 285 (1973).MathSciNetGoogle Scholar
  17. [17]
    A. K. Kumpera:J. Differ. Geom.,10, 347 (1975).MathSciNetMATHGoogle Scholar
  18. [18]
    A. K. Kumpera andD. G. Spencer:Lie equations.-I:General theory, inAnnals of Mathematical Studies, No. 73 (Princeton, N. J., 1972).Google Scholar
  19. [19]
    B. Malgrange:J. Differ. Geom.,6, 503 (1972);7, 117 (1972).MathSciNetGoogle Scholar
  20. [20]
    H. Goldschmidt:J. Differ. Geom.,6, 357 (1972);7, 67 (1972);11, 167 (1976).MathSciNetMATHGoogle Scholar
  21. [21]
    H. Goldschmidt:Bull. Am. Math. Soc.,84, 531 (1978).MathSciNetCrossRefMATHGoogle Scholar
  22. [22]
    H. B. Lawson:Bull. Am. Math. Soc.,80, 369 (1974).CrossRefMATHGoogle Scholar
  23. [23]
    P. W. Kamber andP. Tondeur:Foliated bundles and characteristic classes, inSpringer Lecture Notes in Mathematics (Berlin, 1975).Google Scholar
  24. [24]
    S. Sternberg:Lectures of Differential Geometry (Englewood Cliffs, N.J., 1964).Google Scholar
  25. [25]
    H. Goldschmidt:J. Differ. Geom.,1, 269 (1967).MathSciNetGoogle Scholar
  26. [26]
    V. Guillemin andS. Sternberg:Bull. Am. Math. Soc.,70, 16 (1964).MathSciNetCrossRefMATHGoogle Scholar
  27. [27]
    S. Sternberg:Notes on partial differential equations, Mimeographed Notes, Harvard University.Google Scholar
  28. [28]
    W. J. Sweeney:Pac. J. Math.,20, 559 (1967).MathSciNetCrossRefMATHGoogle Scholar
  29. [29]
    D. G. Quillen:Formal properties of over-determined systems of linear differential equations, Ph. D. Thesis, Harvard University (1964).Google Scholar
  30. [30]
    A. Prastaro:Geometry and existence theorems for incompressible fluids (to appear).Google Scholar
  31. [31]
    H. Goldschmidt andS. Sternberg:Ann. Inst. Fourier,27, 203 (1973).MathSciNetCrossRefGoogle Scholar
  32. [32]
    B. A. Kupershmidt:Geometry of jet bundles and the structure of Lagrangian and Hamiltonian formalism, inLecture Notes in Mathematics,775 (Berlin, 1980), p. 168.Google Scholar
  33. [33]
    A. Prastaro :Dynamic conservation laws, to appear.Google Scholar
  34. [34]
    A. Prastaro:Boll. Unione Mat. Ital.,18-A, 411 (1981).MathSciNetGoogle Scholar
  35. [35]
    P. L. Garcia:J. Differ. Geom.,12, 209 (1977).MATHGoogle Scholar
  36. [36]
    M. Spivak:A Comprehensive Introduction to Differential Geometry (Waltham, Mass., 1971).Google Scholar
  37. [37]
    Y. Ne’eman andT. Regge:Riv. Nuovo Cimento,1, No. 5 (1978).Google Scholar
  38. [38]
    A. D’Adda, R. D’Auria, P. Fré andT. Regge :Riv. Nuovo Cimento,3, No. 6 (1980).Google Scholar
  39. [39]
    R. Kerner:Ann. Inst. Henri PoincarË,34, 437 (1981).MathSciNetMATHGoogle Scholar
  40. [40]
    Y. Choquet-Bruhat :Géométrie differentielle et systèmes extérieurs (Paris, 1968).Google Scholar
  41. [41]
    S. Sternberg:On the role of field theories in our physical conception of geometry, inDifferential Geometrical Methods in Mathematical Physics, II, Lectures Notes in Mathematics (Berlin, 1978).Google Scholar
  42. [42]
    P. W. Warner :Foundations of Differential Manifolds and Lie Groups (Glenview, III., 1971).Google Scholar
  43. [43]
    D. Husemoller:Fiber Bundles (New York, N. Y., 1966).Google Scholar
  44. [44]
    N. Kuiper:Ann. Math.,50, 916 (1949).MathSciNetCrossRefMATHGoogle Scholar
  45. [45]
    R. Penrose:J. Math. Phys. (N. Y.),8, 345 (1967).MathSciNetADSCrossRefMATHGoogle Scholar
  46. [46]
    E. H. Spanier:Algebraic Topology (New York, N. Y., 1966).Google Scholar
  47. [47]
    Y. Matsushima:Differentiable Manifolds (New York, N. Y., 1972).Google Scholar
  48. [48]
    K. Yano:Differential Geometry on Complex and Almost Complex Spaces (New York, N. Y., 1965).Google Scholar
  49. [49]
    M. F. Atiyah, R. Bott andA. Shapiro:Topology,3, Suppl.1, 3 (1964).MathSciNetCrossRefMATHGoogle Scholar
  50. [50]
    M. A. Naimark:Les représentations lineaires du groupe de Lorentz (Paris, 1962).Google Scholar
  51. [51]
    S. Perrara, J. Wess andB. Zumino:Phys. Lett. B,51, 239 (1974).ADSCrossRefGoogle Scholar
  52. [52]
    A. Salam andJ. Strathdee:Nucl. Phys. B,76, 477 (1974).MathSciNetADSCrossRefGoogle Scholar
  53. [53]
    A. Salam andJ. Steathdee:Phys. Rev. D,11, 1521 (1975).MathSciNetADSCrossRefGoogle Scholar
  54. [54]
    K. Gawedzki:Ann. Inst. Henri Poincaré,27, 335 (1977).MathSciNetGoogle Scholar
  55. [55]
    N. Bourbaki:Algèbre (Paris, 1970).Google Scholar

Copyright information

© Società Italiana di Fisica 1982

Authors and Affiliations

  • A. Prastaro
    • 1
  1. 1.Dipartimento di MatematicaUniversità degli Studi della CalabriaArcavacaia di Rende (Cosenza)Italia

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