Affine higher order parallel hypersurfaces

Luc Vrancken

Annales de la Faculté des sciences de Toulouse : Mathématiques (1988)

  • Volume: 9, Issue: 3, page 341-353
  • ISSN: 0240-2963

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Vrancken, Luc. "Affine higher order parallel hypersurfaces." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.3 (1988): 341-353. <http://eudml.org/doc/73216>.

@article{Vrancken1988,
author = {Vrancken, Luc},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {affine immersions; Cayley surface; equiaffine immersion; quadric; graph immersion},
language = {eng},
number = {3},
pages = {341-353},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Affine higher order parallel hypersurfaces},
url = {http://eudml.org/doc/73216},
volume = {9},
year = {1988},
}

TY - JOUR
AU - Vrancken, Luc
TI - Affine higher order parallel hypersurfaces
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1988
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 3
SP - 341
EP - 353
LA - eng
KW - affine immersions; Cayley surface; equiaffine immersion; quadric; graph immersion
UR - http://eudml.org/doc/73216
ER -

References

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  1. [C] Calabi ( E.).— Hypersurfaces with maximal affinely invariant area, American Journal of Mathematics, t. 104, 1982, p. 91-126. Zbl0501.53037MR648482
  2. [C - Y] Cheng ( S.Y.), Yau ( S.T.). — Complete Affine Hypersurfaces. Part I. The Completeness of Affine Metrics, Communications on Pure and Applied Mathematics, t. Vol. XXXIX, 1986, p. 839-866. Zbl0623.53002MR859275
  3. [D - V] Dillen ( F.), Vrancken ( L.). — Parallel and Locally Symmetric Hypersurfaces of Affine Spaces, preprint. 
  4. [N] Nomizu ( K.). - On completeness in affine differential geometry, Geometriae Dedicata, t. 20, 1986, p. 43-49. Zbl0587.53010MR823159
  5. [N - P1] Nomizu ( K.), Pinkall ( U.). — On the geometry of affine immersions, Math. Z., t. 195, 1987, p. 165-178. Zbl0629.53012MR892049
  6. [N - P2] Nomizu ( K.), Pinkall ( U.).- Cayley Surfaces in Affine Differential Geometry, preprint. MR1025324
  7. [N - P3] Nomieu ( K.), Pinkall ( U.). — Cubic form theorem for affine immersions, Proceedings Oberwolfach Conference on Affine Differential Geometry, November1986, Resultate der Mathematik, t. 13, 1988, p. 338-362. Zbl0657.53007MR941340
  8. [P] Pogorelov ( A.V.). — On the improper affine hyperspheres, Geometriae Dedicata, t. 1, 1972, p. 33-46. Zbl0251.53005MR319126

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