Nonimmersions and nonembeddings of quaternionic spherical space forms

Kobayashi, Teiichi

doi:10.1090/S0002-9947-1983-0709579-8

Nonimmersions and nonembeddings of quaternionic spherical space forms
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by Teiichi Kobayashi

Trans. Amer. Math. Soc. 279 (1983), 723-728

DOI: https://doi.org/10.1090/S0002-9947-1983-0709579-8

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Abstract:

We determine the orders of the canonical elements in $KO$-rings of quaternionic spherical space forms ${S^{4n + 3}}/{Q_k}$ and apply them to prove the nonexistence theorems of immersions and embeddings of ${S^{4n + 3}}/{Q_k}$ in Euclidean spaces.

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