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Geometrical foundations and results on a problem suggested in a paper by Andersonet al.

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. R. Anderson andS. Davison:Journ. Math. Anal, and Appl.,48, 301 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  2. F. González-Gascón:Journ. Math. Phys.,18, 1763 (1977).

    Article  ADS  Google Scholar 

  3. E. Goursat:Course d’analyse mathématique, Tome II (Paris, 1949), p. 415.

    MATH  Google Scholar 

  4. A. Wintner:The Analytical Foundations of Celestial Mechanics (Princeton, N. J., 1967);E. Onofri andM. Pauri:Journ. Math. Phys.,14, 1106 (1973).

  5. R. Hermann:Differential Geometry and the Calculus of Variations (New York, N. Y., 1969), p. 39.

  6. F. González-Gascón:Lett. Nuovo Cimento,19, 336 (1977).

    Article  Google Scholar 

  7. E. Vidal:Ann. Inst. Four. (Univ. Grenoble),17, 129 (1967), and references therein. See as well ref. (5) of this paper. The regularity condition is, in fact, equivalent to the requirement that the leaves generated by the two vector fieldsX andS of formula (16) are differentiable manifolds or that the surface defined byI(x,y,y’) = k are, as well, differentiable manifolds.

    Article  MathSciNet  MATH  Google Scholar 

  8. E. Goursat:Leçons sur les equations aux dérivées partielles (Paris, 1921), p. 53.

  9. F. González-Gascón:Lett. Nuovo Cimento,20, 54 (1977);Two global first integrals of certain dynamical systems, to be published inLett. Nuovo Oimento, and references therein.

    Article  MathSciNet  Google Scholar 

  10. J. E. Campbell:Introductory Treatise on Lie’s Theory of Finite Continuous Transformation Groups (New York, N. Y., 1966), p. 24.

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Authors and Affiliations

  1. Instituto de Estructura de la Materia (GIFT), España

    F. González-Gascón

  2. Departamento de Fisica Teórica, Universidad Complutense, Madrid

    F. González-Gascón

  3. Facultad de Cienoias Fisicas, Universidad Complutense, Madrid

    F. Moreno-Insertis & E. Rodrjguez-Camino

Authors
  1. F. González-Gascón
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  2. F. Moreno-Insertis
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  3. E. Rodrjguez-Camino
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González-Gascón, F., Moreno-Insertis, F. & Rodrjguez-Camino, E. Geometrical foundations and results on a problem suggested in a paper by Andersonet al. . Lett. Nuovo Cimento 21, 595–599 (1978). https://doi.org/10.1007/BF02763104

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  • DOI: https://doi.org/10.1007/BF02763104

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