Tohoku Mathematical Journal

Cayley surfaces in affine differential geometry

Katsumi Nomizu and Ulrich Pinkall

Full-text: Open access

Article information

Source
Tohoku Math. J. (2), Volume 41, Number 4 (1989), 589-596.

Dates
First available in Project Euclid: 3 May 2007

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1178227729

Digital Object Identifier
doi:10.2748/tmj/1178227729

Mathematical Reviews number (MathSciNet)
MR1025324

Zentralblatt MATH identifier
0684.53011

Subjects
Primary: 53A15: Affine differential geometry
Secondary: 53B05: Linear and affine connections

Citation

Nomizu, Katsumi; Pinkall, Ulrich. Cayley surfaces in affine differential geometry. Tohoku Math. J. (2) 41 (1989), no. 4, 589--596. doi:10.2748/tmj/1178227729. https://projecteuclid.org/euclid.tmj/1178227729


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References

  • [1] W BLASCHKE, Vorlesungen uber Differentialgeometrie, II, Springer, Berlin, 1923
  • [2] H GUGGENHEIMER, Differential Geometry, McGraw-Hill, New York, 1963
  • [3] K. NOMIZU, On completeness in affine differential geometry, Geometriae Dedicata 20 (1986), 43-4
  • [4] K NOMIZU AND U. PINKALL, On the geometry of affine immersions, Math. Z. 195 (1987), 165-17
  • [5] K. NOMIZU AND U PINKALL, Cubic form theorem for affine immersions, Proceedings Oberwolfac Conference on Affine Differential Geometry, November 1986, Resultate der Mathematik 13(1988), 338-362
  • [6] P. A. SCHIROKOW AND A P SCHIROKOW, Affine Differentialgeometrie, Teubner, Leipzig, 196