Direct product of S^2

1. Jul 3, 2013

LagrangeEuler

http://en.wikipedia.org/wiki/Torus

$S^1 \times S^1... \times S^1 \times S^1$
is hypertorus.
And what is
$S^2 \times S^2... \times S^2 \times S^2$?

2. Jul 3, 2013

Ben Niehoff

It doesn't have a name.

Also, nobody says "hypertorus". Typically one uses $T^n$ to mean the direct product of $n$ copies of $S^1$.