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Energies et geometrie integrale

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Differential Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1045))

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Bibliographie

  1. D. Asimov, Average Gaussian curvature of leaves of foliations, Bull. of the Amer. Soc. Vol. 48, (1978), 131–133.

    Article  MathSciNet  MATH  Google Scholar 

  2. F. Brito, R. Langevin, H. Rosenberg, Intégrales de courbure sur une variétée feuillétée, note C.R. Acad. Sc.,série A, 285, (1977), 533–536.

    MathSciNet  MATH  Google Scholar 

  3. P. Cladis, M. Kleman, P. Pieranski, note C.R. Acad. Sc., série B, 273, (1971), 275–277.

    Google Scholar 

  4. M. Do Carmo, Differential geometry of curves and surfaces. Prentice Hall. (1976).

    Google Scholar 

  5. Eells & Sampson, Harmonic mappings of riemannian manifolds, Amer. Journal of Math. 86, (1964), 109–160.

    Article  MathSciNet  MATH  Google Scholar 

  6. Eells & Sampson, Varational theory in Fibre bundles, Proc, US-Japan, seminar of Differential geometry, Kyoto (1965), 61–69.

    Google Scholar 

  7. P.G. de Gennes, liquid cristals, Clarendon Press, Oxford university press, 1974.

    Google Scholar 

  8. F.W. Kamber & P. Tondeur, Feuilletages harmoniques, note C.R. Acad. Sc. Paris, série A, 291, 409–411.

    Google Scholar 

  9. F.W. Kamber & P. Tondeur, Infinitesimal automorphisms and second variation of the energy for harmonic foliations, preprint. (1982).

    Google Scholar 

  10. F.W. Kamber & P.Tondeur. Curvature properties of harmonic foliations, preprint (1982).

    Google Scholar 

  11. R. Langevin, Thèse, publications mathématiques d’Orsay, 431

    Google Scholar 

  12. R. Langevin, feuilletages tendus, Bulletin de la sociétée mathématique de France. 107, (1979), 271–281.

    MathSciNet  MATH  Google Scholar 

  13. R. Langevin, Feuilletages, énergies et cristaux liquides, Conférence Mulhouse 1982, (à paraitre).

    Google Scholar 

  14. R. Langevin & G. Levitt, Courbure totale des feuilletages des surfaces, Commentarii mathematici Helvetici. 57,(1982), 175–195.

    Article  MathSciNet  MATH  Google Scholar 

  15. R. Langevin & T. Shifrin, Polar varities, American Journal of Mathematics. 104, (1982), 533–605.

    Article  MathSciNet  Google Scholar 

  16. N.D. Mermin, The topological theory of defects in ordered media, Review of modern physics. 51, (1979), 591–648.

    Article  MathSciNet  Google Scholar 

  17. V. Poenaru, Some aspects of the theory of defects of ordered media and gauge fields related to foliations, Communications in mathematical physics. 80, (1981), 127–136.

    Article  MathSciNet  MATH  Google Scholar 

  18. B.L. Reinhart, The second fundamental form of a plane field, Journal of differential geometry, 12, (1977), 619–627.

    MathSciNet  MATH  Google Scholar 

  19. B.L. Reinhart & J.W. Wood, A metric formule for the Gobdillon-Vey invariant for foliations, Proc. of the Amer. Math. Soc. 38, (1973), 427–430.

    MathSciNet  MATH  Google Scholar 

  20. R.P. Rogers, Some differential properties of the orthogonal trajectories of a convergence of curves, with an application to curl and divergence of vectors, Proceeding of the Royal Irish Academy. Sect. A, 29, No6, (1932).

    Google Scholar 

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Authors and Affiliations

  1. Départament de Mathématiques Faculté des Sciencies - Mirande, Université de Dijon, 21004, Dijon, France

    R. Langevin

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  1. R. Langevin
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Editor information

Antonio M. Naveira

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© 1984 Springer-Verlag

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Langevin, R. (1984). Energies et geometrie integrale. In: Naveira, A.M. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072169

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  • DOI: https://doi.org/10.1007/BFb0072169

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12882-3

  • Online ISBN: 978-3-540-38766-4

  • eBook Packages: Springer Book Archive

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