Pacific Journal of Mathematics

Sphere transitive structures and the triality automorphism.

Alfred Gray and Paul S. Green

Full-text: Open access

PDF File (1297 KB) DjVu File (301 KB)

Article information

Source
Pacific J. Math., Volume 34, Number 1 (1970), 83-96.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102976640

Mathematical Reviews number (MathSciNet)
MR0268910

Zentralblatt MATH identifier
0197.18402

Subjects
Primary: 57.45
Secondary: 22.00

Citation

Gray, Alfred; Green, Paul S. Sphere transitive structures and the triality automorphism. Pacific J. Math. 34 (1970), no. 1, 83--96. https://projecteuclid.org/euclid.pjm/1102976640


Export citation

References

  • [1] M. Berger, Sur Us groupes d'holonome homogene des varieties a connexion a fine et des varietes riemanniens,Bull. Soc.Math. France 83 (1955), 279-330.
    Mathematical Reviews (MathSciNet): MR18:149a
    Zentralblatt MATH: 0068.36002
  • [2] A. Borel, Sur Vhomologie et la cohomologie des groupes de Lie compacts connexes, Amer. J. Math, 76 (1954), 273-342,
    Mathematical Reviews (MathSciNet): MR16:219b
    Zentralblatt MATH: 0056.16401
  • [3] A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces I, Amer. J. Math. 8O (1958), 458-538.
    Mathematical Reviews (MathSciNet): MR21:1586
  • [4] A. Borel and J. Serre, Groupes de Lie et puissances reduits de Steenrod, Amer. J. Math. 75 (1953), 409-448.
    Mathematical Reviews (MathSciNet): MR15:338b
  • [5] R. Bott, A report on the unitarygroup, Proc. of Symposia Pure Math. vol. 3; Differential Geometry, 1-6.
    Mathematical Reviews (MathSciNet): MR24:A2393
    Zentralblatt MATH: 0117.40301
  • [6] R. Brown and A. Gray, Vector cross products, Comment. Math. Helv. 42 (1967), 222-236.
    Mathematical Reviews (MathSciNet): MR36:5157
    Zentralblatt MATH: 0385.53045
  • [7] H. Freudenthal, Octaven Ausnahmen gruppen, und Oktavengeometrie, Utrecht, 1951.
    Mathematical Reviews (MathSciNet): MR13:433a
    Zentralblatt MATH: 0573.51004
  • [8] A. Gray, Vector cross products on manifolds, Trans. Amer. Math. Soc. 141 (1969), 465-504.
    Mathematical Reviews (MathSciNet): MR39:4790
    Zentralblatt MATH: 0182.24603
  • [9] A. Gray, A note on Riemannianmanifoldswith holonomy groups Sp(w) Sp (1), Michigan Math J. 16 (1969), 125-128.
    Mathematical Reviews (MathSciNet): MR39:6226
    Zentralblatt MATH: 0177.50001
  • [10] D. Montgomery and H. Samelson, Transformationgroups of spheres, Ann. of Math. 44 (1943), 454-470.
    Mathematical Reviews (MathSciNet): MR5:60b
    Zentralblatt MATH: 0063.04077
  • [11] J. Simons, On transitivityof holonomy systems, Ann. of Math. 76 (1962), 213-234.
    Mathematical Reviews (MathSciNet): MR26:5520
    Zentralblatt MATH: 0106.15201
  • [12] E. Thomas, On the cohomology groups of the classifying space for the stable spinor group, Bol. Soc. Math. Mexicana, 7 (1962), 57-69.
    Mathematical Reviews (MathSciNet): MR27:2996
    Zentralblatt MATH: 0124.16401
  • [13] H. Toda, Y. Saito and I. Yokota, Note on the generator of 7 (SO(n)), Memoirs of the College of Science, University of Kyoto (A) 30 (1957), 227-230.
    Mathematical Reviews (MathSciNet): MR19:975a
    Zentralblatt MATH: 0089.18101

Pacific Journal of Mathematics, A Non-profit Corporation

Pacific Journal of Mathematics
  • You have access to this content.
  • You have partial access to this content.
  • You do not have access to this content.
Turn Off MathJax

What is MathJax?

More like this

+ See more