Équivalence projective et équivalence conforme

Jacques Gasqui

Annales scientifiques de l'École Normale Supérieure (1979)

  • Volume: 12, Issue: 1, page 101-134
  • ISSN: 0012-9593

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Gasqui, Jacques. "Équivalence projective et équivalence conforme." Annales scientifiques de l'École Normale Supérieure 12.1 (1979): 101-134. <http://eudml.org/doc/82028>.

@article{Gasqui1979,
author = {Gasqui, Jacques},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {germ of diffeomorphism; linear connection; bundle of k-jets; prolongation},
language = {fre},
number = {1},
pages = {101-134},
publisher = {Elsevier},
title = {Équivalence projective et équivalence conforme},
url = {http://eudml.org/doc/82028},
volume = {12},
year = {1979},
}

TY - JOUR
AU - Gasqui, Jacques
TI - Équivalence projective et équivalence conforme
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1979
PB - Elsevier
VL - 12
IS - 1
SP - 101
EP - 134
LA - fre
KW - germ of diffeomorphism; linear connection; bundle of k-jets; prolongation
UR - http://eudml.org/doc/82028
ER -

References

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  1. [1] BERGER-GAUDUCHON-MAZET, Le spectre d'une variété riemannienne (Lecture Notes in Math., n° 194, Springer-Verlag, Berlin, 1971). Zbl0223.53034MR43 #8025
  2. [2] E. CARTAN, Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1928 ; 2e édition 1946. Zbl0060.38101JFM54.0755.01
  3. [3] L. P. EISENHART, Non-Riemannian Geometry (Amer. Math. Soc. Colloquium Publications, vol. VIII). JFM53.0681.02
  4. [4] J. GASQUI, Sur l'existence d'immersions isométriques locales pour les variétés riemanniennes (J. Diff. Geom., vol. 10, 1975, p. 61-84). Zbl0296.53040MR51 #6665
  5. [5] H. GOLDSCHMIDT, Existence Theorems for Analytic Linear Partial Differential Equations (Ann. of Math., vol. 86, 1967, p. 246-270). Zbl0154.35103MR36 #2933
  6. [6] H. GOLDSCHMIDT, Integrability Criteria for Systems of Non-Linear Partial Differential Equations (J. Diff. Geom., vol. 1, 1967, p. 269-307). Zbl0159.14101MR37 #1746
  7. [7] H. GOLDSCHMIDT, Sur la structure des équations de Lie. I. Le troisième théorème fondamental (J. Diff. Geom., vol. 6, 1972, p. 357-373). Zbl0235.58011MR46 #923
  8. [8] S. KOBAYASHI et T. NAGANO, On Projective Connections (J. Math. and Mech., vol. 13, 1964, p. 215-235). Zbl0117.39101MR28 #2501
  9. [9] R. S. KULKARNI, Curvature and Metric (Ann. of Math., vol. 91, 1970, p. 311-331). Zbl0191.19903MR41 #2581
  10. [10] R. S. KULKARNI, Curvature Structures and Conformal Transformations (J. Diff. Geom., vol. 4, 1970, p. 425-451). Zbl0206.24403MR44 #2173
  11. [11] B. MALGRANGE, Equations de Lie, II. (J. Diff. Geom., vol. 7, 1972, p. 117-141). Zbl0264.58009MR48 #5128
  12. [12] N. TANAKA, Projective Connections and Projective Transformations. (Nagoya Math. J., vol. 12, 1957, p. 1-24). Zbl0081.38404MR21 #3899
  13. [13] J. A. SCHOUTEN, Uber die konforme Abbildung n-dimensionaler Mannigfaltigkeiten... (Math. Z., vol. 11, 1921, p. 58-88). Zbl48.0857.02JFM48.0857.02
  14. [14] O. VEBLEN et J. M. THOMAS, Projective Invariants of Affine Geometry of Paths (Ann. of Math., vol. 27, 1926, p. 279-296). Zbl52.0732.01JFM52.0732.01
  15. [15] H. WEYL, Zur Infinitesimalgeometrie ; Einordnung der projektiven und der konformen Auffassung [Göttingen Nachrichten, 1921, p. 99-112 (ou Gesammelte Abhandlungen, vol. II, 1968, p. 195-207, Springer). Zbl48.0844.04JFM48.0844.04

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