\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2008c.00413}
\itemau{Persson, Ulf}
\itemti{$\text{SO}(4)$ and $S^3$. ($\text{SO}(4)$ och $S^3$.)}
\itemso{Normat 55, No. 3, 136-137, 144 (2007).}
\itemab
Summary: The 3-dimensional sphere can be thought of as a union of two solid tori glued along their boundaries. Those come from torus-fibrations, and this short note explores some elementary facts of how $\text{SO}(4)$ operates on them with connections to Hopf fibrations and quaternionic multiplication.
\itemrv{~}
\itemcc{H75}
\itemut{}
\itemli{}
\end