FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 5, PAGES 99-105

**On $SL(3,$****R**)-actions
on $4$-spheres

Sh. Kuroki

Abstract

View as HTML
View as gif image

We construct a natural, continuous $SL(3,$**R**)-action
on $S4$ which is an
extension of the $SO(3)$-action $$y of Uchida.
The construction is based on the Kuiper theorem asserting that the
quotient space of $$**C**P(2) by complex
conjugation is $S4$.
We also give a new proof of the Kuiper theorem.

Location: http://mech.math.msu.su/~fpm/eng/k05/k055/k05509h.htm

Last modified: February 26, 2006