Almost-quaternion $(m-1)$-substructures on $S^{4m-3}$
HTML articles powered by AMS MathViewer
- by Turgut Önder PDF
- Proc. Amer. Math. Soc. 90 (1984), 155-156 Request permission
Abstract:
We prove that ${S^{4m - 3}}$ admits an almost-quaternion $(m - 1)$-substructure if and only if $m = 2$, completing the missing case in our paper On quaternionic James numbers and almost-quaternion substructures on the sphere.References
- I. Dibag, Almost-complex substructures on the sphere, Proc. Amer. Math. Soc. 61 (1976), no. 2, 361–366 (1977). MR 423248, DOI 10.1090/S0002-9939-1976-0423248-5
- Turgut Önder, On quaternionic James numbers and almost-quaternion substructures on the sphere, Proc. Amer. Math. Soc. 86 (1982), no. 3, 535–540. MR 671231, DOI 10.1090/S0002-9939-1982-0671231-X
- Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258, DOI 10.1515/9781400883875
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 155-156
- MSC: Primary 57R15; Secondary 53C15, 55S40
- DOI: https://doi.org/10.1090/S0002-9939-1984-0722435-0
- MathSciNet review: 722435