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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 5, Pages 99–105
(Mi fpm869)
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This article is cited in 1 scientific paper (total in 1 paper)
On $\mathrm{SL}(3,\mathbb{R})$-actions on $4$-spheres
Sh. Kuroki Osaka University
Abstract:
We construct a natural, continuous $\mathrm{SL}(3,\mathbb{R})$-action on $S^{4}$ which is an extension of the $\mathrm{SO}(3)$-action $\psi$ of Uchida. The construction is based on the Kuiper theorem asserting that the quotient space of $\mathbb{C}P(2)$ by complex conjugation is $S^{4}$. We also give a new proof of the Kuiper theorem.
Citation:
Sh. Kuroki, “On $\mathrm{SL}(3,\mathbb{R})$-actions on $4$-spheres”, Fundam. Prikl. Mat., 11:5 (2005), 99–105; J. Math. Sci., 146:1 (2007), 5518–5522
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https://www.mathnet.ru/eng/fpm869 https://www.mathnet.ru/eng/fpm/v11/i5/p99
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Abstract page: | 193 | Full-text PDF : | 90 | References: | 23 |
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