Voir la notice de l'article provenant de la source Cambridge University Press
Asperti, A. C.; Dajczer, M. Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 281-285. doi: 10.4153/CMB-1989-041-8
@article{10_4153_CMB_1989_041_8,
author = {Asperti, A. C. and Dajczer, M.},
title = {Conformally {Flat} {Riemannian} {Manifolds} as {Hypersurfaces} of the {Light} {Cone}},
journal = {Canadian mathematical bulletin},
pages = {281--285},
year = {1989},
volume = {32},
number = {3},
doi = {10.4153/CMB-1989-041-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-041-8/}
}
TY - JOUR AU - Asperti, A. C. AU - Dajczer, M. TI - Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone JO - Canadian mathematical bulletin PY - 1989 SP - 281 EP - 285 VL - 32 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-041-8/ DO - 10.4153/CMB-1989-041-8 ID - 10_4153_CMB_1989_041_8 ER -
%0 Journal Article %A Asperti, A. C. %A Dajczer, M. %T Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone %J Canadian mathematical bulletin %D 1989 %P 281-285 %V 32 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-041-8/ %R 10.4153/CMB-1989-041-8 %F 10_4153_CMB_1989_041_8
[1] 1. Brinkmann, W. H., On Riemannian spaces conformai to Euclidean space, Proc. Nat. Acad. Sci. USA 9 (1923), 1–3. Google Scholar
[2] 2. Eisenhart, L. P., Riemannian Geometry, Princeton University Press, Princeton, NJ, 1966. Google Scholar
[3] 3. Kuiper, N. H., On conformally flat spaces in the large, Annals of Mathematics 50, 1949, 916–924. Google Scholar
[4] 4. Kulkarni, R. S., Curvature and metric, Annals of Mathematics 91 (1970), 311–331. Google Scholar
[5] 5. O'Neill, B., Semi-Riemannian Geometry, Academic Press Inc., New York, 1983. Google Scholar
[6] 6. Ryan, P. J., Conformally flat spaces with constant scalar curvature, Proc. 13th biennial seminar of the Canadian Math. Congress, Halifax (1971), 115-124. Google Scholar
[7] 7. Schouten, J. A., Ûber die konforme Abbildung n-dimensionaler Mannigfaltigkeiten mit quadratischer Mafibestimmung auf eine Mannigfaltigkeit mit euklidischer Mafibestimmung, Math. Z. 11 (1921), 58–88. Google Scholar
[8] 8. Spivak, M., A Comprehensive Introduction to Differential Geometry, Vol. IV, Publish or Perish Inc., Berkeley (1979). Google Scholar
[9] 9. Weber, W. C. and Goldberg, S. I., Conformai deformations of Riemannian manifolds, Queen's papers on Pure and Applied Math. 16, Kingston (1969). Google Scholar
Cité par Sources :