## Wednesday, September 28, 2005 ... //

### Topology of horizons

This is a rather noteworthy result. Galloway and Schoen show in

that the topology of the black hole horizons in any dimension must admit metrics of positive curvature. This allows the rings but forbids various other conceivable topologies.

#### snail feedback (2) :

Since Hawking’s arguments rely on the Gauss-Bonnet theorem, these results do not directly extend to
higher dimensions.

So paper listed in post of yours moves us to a more significant perception beyond the curvature of Reimann?

IN non-euclidean realms, it seems very dynamical, but I had to get there?

While my views seem held to euclidean definition of point line plane, this would seem an approrpriate excursion, to point string, brane?