From: Jim Propp
Date: Fri, 2 Dec 94 17:55:33 EST
To: rusin@math.niu.edu
Subject: Re: curvature
I think your answer is a good one. But I've realized that my question makes
no sense unless one first addresses the question of how one *defines* curvature
to a random layperson. Eigenvalues clearly aren't the way. Some people
who replied to my posting used the Gauss map to define curvature, and I
think that this must be the right approach. Combining this with the notion
of signed area and the index of a map, it's easy to get the result I asked
for.
Jim Propp