Why is a projective representation of hyberbolic geometry convex towards the sphere's center?

Question

anonymous · Answer

I would help you but IDK

anonymous · Answer

lol...i dont know

anonymous · Answer

dude is this a legitimate concept? i doubt it.

anonymous · Answer

Yes. With hyperbolic geometries you want to project hemispheres to 2D for measurement, etc. Generally in physics you learn Minkowski space ( http://en.wikipedia.org/wiki/Minkowski_space ) but there are also conformal and hemispherical projections. Conformal is a plane orthogonal to the plane bisecting the sphere into northern and southern hemispheres. Hemispheric is a stereographic projection from the southern pole. A 3D "Euclidian" model of the sphere "squashing" the hyperbolic geometries has the hemispheric projection act as a convex "plate" directed towards the center of the sphere. My question is why.

anonymous · Answer

well why didn't you ask this in physics?

anonymous · Answer

Because this isn't physics, it's math.

anonymous · Answer

Oh, whatever.

anonymous · Answer

lol what math do they teach this in?