Rigidity of hypersurfaces in complex projective space

Gary R. Jensen; Emilio Musso

Annales scientifiques de l'École Normale Supérieure (1994)

  • Volume: 27, Issue: 2, page 227-248
  • ISSN: 0012-9593

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Jensen, Gary R., and Musso, Emilio. "Rigidity of hypersurfaces in complex projective space." Annales scientifiques de l'École Normale Supérieure 27.2 (1994): 227-248. <http://eudml.org/doc/82363>.

@article{Jensen1994,
author = {Jensen, Gary R., Musso, Emilio},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {complex manifold; holomorphic immersions; Fubini holomorphic symmetric quadratic form; holomorphic symmetric cubic form; frame field; projectively congruent; bilinear form; hypersurface; congruence},
language = {eng},
number = {2},
pages = {227-248},
publisher = {Elsevier},
title = {Rigidity of hypersurfaces in complex projective space},
url = {http://eudml.org/doc/82363},
volume = {27},
year = {1994},
}

TY - JOUR
AU - Jensen, Gary R.
AU - Musso, Emilio
TI - Rigidity of hypersurfaces in complex projective space
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1994
PB - Elsevier
VL - 27
IS - 2
SP - 227
EP - 248
LA - eng
KW - complex manifold; holomorphic immersions; Fubini holomorphic symmetric quadratic form; holomorphic symmetric cubic form; frame field; projectively congruent; bilinear form; hypersurface; congruence
UR - http://eudml.org/doc/82363
ER -

References

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  1. [1] E. CARTAN, Sur la déformation projective des surfaces (Ann. Sci. Ecole Norm. Sup., Vol. 37, 1920, pp. 259-356). Zbl47.0656.05JFM47.0656.05
  2. [2] E. CECH and G. FUBINI, Geometria proiettiva differenziale, II (Zanichelli, Bologna, 1927). JFM53.0702.01
  3. [3] E. ČECH and G. FUBINI, Introduction à la géométrie projective différentielle des surfaces (Gauthier-Villars, Paris, 1931). Zbl0002.35101JFM57.0936.01
  4. [4] G. FUBINI, Applicabilitá proiettiva di due superficie (Rend. Circolo matem. di Palermo, XLI, 1916, pp. 135-162). Zbl46.1098.01JFM46.1098.01
  5. [5] G. FUBINI, Studi relativi all'elemento lineare proiettivo di una ipersuperficie (Rend. Acad. Naz. dei Lincei, 1918, pp. 99-106). Zbl46.1095.02JFM46.1095.02
  6. [6] G. FUBINI, Il problema della deformazione proiettiva delle ipersuperficie (Rend. Acad. Naz. dei Lincei, Vol. 27, 1918, pp. 147-155). JFM46.1095.03
  7. [7] G. FUBINI, Sur les surfaces projectivement applicables (Comptes Rendus Acad. Sci., Vol. 171, 1920, p. 88). Zbl47.0656.04JFM47.0656.04
  8. [8] P. GRIFFITHS, On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry (Duke J. Math., Vol. 41, 1974, pp. 775-814). Zbl0294.53034MR53 #14355
  9. [9] P. GRIFFITHS and J. HARRIS, Algebraic geometry and local differential geometry (Ann. Sci. Ecole Norm. Sup., 4e série, t. 12, 1979, pp. 355-452). Zbl0426.14019MR81k:53004
  10. [10] G. R. JENSEN, Higher order contact of submanifolds of homogeneous spaces (Lecture Notes in Math., Vol. 610, Springer-Verlag, Berlin, 1977). Zbl0356.53005MR58 #18226
  11. [11] G. R. JENSEN, Deformation of submanifolds in homogeneous spaces (J. Diff. Geom., Vol. 16, 1981, pp. 213-246). Zbl0473.53044MR83h:53063
  12. [12] C. R. LE BRUN, H-Space with a cosmological constant (Proc. R. Soc. Lond. A., Vol. 380, 1982, pp. 171-185). Zbl0549.53042MR83d:83019
  13. [13] S. KOBAYASHI, Transformation groups in differential geometry (Springer-Verlag, Berlin, 1972). Zbl0246.53031MR50 #8360
  14. [14] P. MALLIAVIN, Géométrie différentielle intrinsèque (Hermann, Paris, 1972). Zbl0282.53001MR57 #13704
  15. [15] E. MUSSO, Sulle condizioni d'integrabilitá delle forme fondamentali di Fubini, (to appear in Rend. Sem. Mat., Univers. Politecn. Torino). 

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