Transformation conforme de la courbure scalaire sur la sphère

M. Vaugon

Annales de l'I.H.P. Analyse non linéaire (1986)

  • Volume: 3, Issue: 1, page 55-65
  • ISSN: 0294-1449

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Vaugon, M.. "Transformation conforme de la courbure scalaire sur la sphère." Annales de l'I.H.P. Analyse non linéaire 3.1 (1986): 55-65. <http://eudml.org/doc/78107>.

@article{Vaugon1986,
author = {Vaugon, M.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {conformal metrics; scalar spline curvature; Riemannian metrics on the sphere},
language = {fre},
number = {1},
pages = {55-65},
publisher = {Gauthier-Villars},
title = {Transformation conforme de la courbure scalaire sur la sphère},
url = {http://eudml.org/doc/78107},
volume = {3},
year = {1986},
}

TY - JOUR
AU - Vaugon, M.
TI - Transformation conforme de la courbure scalaire sur la sphère
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1986
PB - Gauthier-Villars
VL - 3
IS - 1
SP - 55
EP - 65
LA - fre
KW - conformal metrics; scalar spline curvature; Riemannian metrics on the sphere
UR - http://eudml.org/doc/78107
ER -

References

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  1. [1] T. Aubin, Équations différentielles non linéaires et problème de Yamabé concernant la courbure scalaire. J. Math. pures et appl., t. 55, 1976, p. 269-296. Zbl0336.53033MR431287
  2. [2] T. Aubin, Meilleures constantes dans le théorème d'inclusion de Sobolev et un théoreme de Fredholm non linéaire pour la transformation conforme de la courbure scalaire. J. funct. Anal., t. 32, 1979, p. 148-174. Zbl0411.46019MR534672
  3. [3] M.-S. Berger, Non linearity and Functional Analysis. Academic Press, New York, 1977. 
  4. [4] Kazdan and Warner, Scalar curvature and conformal deformation of riemannian structure. J. diff. Geom., t. 10, 1975, p. 113-134. Zbl0296.53037MR365409
  5. [5] J. Moser, A sharp form of an inequality of N. Trudinger. Indiana Univ. Math., t. 20, 1971, p. 1077-1092. Zbl0213.13001
  6. [6] M. Vaugon, Équations différentielles non linéaires sur les variétés riemanniennes compactes. Bull. Sc. math., t. 106, 1982, p. 351-367. Zbl0514.35029MR688195
  7. [7] H. Yamabe, On a deformation of riemannian structures on compact manifold. Osaka math. J., t. 12, 1960, p. 21-37. Zbl0096.37201MR125546

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